FRI papers

Papers (Fuzzy Rule Interpolation, Model Identification, Practical Applications)

The following are a list of papers on the background of Fuzzy Rule Interpolation and several related topics. The list is continuously growing. If you don't find your paper on it please send an e-mail to johanyak.csaba##AT##gamf.kefo.hu. Please include the BibTex description, too.

FRI Toolbox SFMI Toolbox	Fuzzy Rule Interpolation Techniques implemented in the FRI ToolBox CRF, FIVE, FRIPOC, GM [ISCM, IRPM, ISRM], IMUL, KH, KH stabilized, LESFRI, MACI, VEIN, VKK	Other fuzzy rule interpolation techniques Hierarchical, ICS, HSI, IFSRMF, SVD, Other techniques
Applications Adaptive applications, Anaerobic tapered fluidized bed reactor, Hydrocyclone, Petrophysical properties prediction, Tool life modelling, User adaptive applications (Kansei Technology), Vehicle control	Method comparisons, surveys	Automatic fuzzy system generation from data RBE-DSS, RBE-SI
Other related papers

Papers about the FRI Toolbox

Z. C. Johanyák, D. Tikk, S. Kovács, K. W. Wong: "Fuzzy Rule Interpolation Matlab Toolbox – FRI Toolbox," Proc. of the IEEE World Congress on Computational Intelligence (WCCI'06), 15th Int. Conf. on Fuzzy Systems (FUZZ-IEEE'06), July 16--21, 2006, Vancouver, BC, Canada, pp. 1427-1433, Omnipress.
[Bibtex] [ draft pdf]
Zoltan Krizsan, Szilveszter Kovacs: Native Developer Toolbox Library for Sparse Fuzzy Rule Based System, Scientific Bulletin of the Politehnica University of Timisoara - Transactions on Electronics and Communications, Vol.58 No.1, Timisoara, pp. , 2013, accepted for publication [draft version (accepted for publication)]

Johanyák Zs. Cs., Kovács Sz., Tikk D., K. W. Wong: Fuzzy szabályinterpolációt támogató eljárásgyüjtemény fejlesztése Matlab rendszerben, AGTEDU 2006, 2006. november 9., ISSN: 1586-846x, pp. 177-182. [pdf]

Papers about the SFMI Toolbox

Johanyák, Zs. Cs.: Sparse Fuzzy Model Identification Matlab Toolbox - RuleMaker Toolbox, IEEE 6th International Conference on Computational Cybernetics, November 27-29, 2008, Stara Lesná, Slovakia, pp. 69-74. [draft version]

Papers about FRI techniques currently implemented in the FRI Toolbox

FRISUV (Fuzzy rule interpolation based on subsethood values)

Z.C. Johanyák: Fuzzy Rule Interpolation based on Subsethood Values, in Proceedings of 2010 IEEE Interenational Conference on Systems Man, and Cybernetics (SMC 2010), 10-13 October 2010, ISBN 978-1-424-6587-3, pp. 2387-2393. [IEEExplore link]

CRF (Fuzzy rule interpolation by the conservation of relative fuzziness)

Gedeon, T. D., Kóczy, L. T.: Conservation of fuzziness in rule interpolation. In Proceedings of the Symposium on New Trends in Control of Large Scale Systems, Volume 1, Herl'any, Slovakia, 1996, pp. 13-19. [BibTex]
L.T. Kóczy, K. Hirota, and T. D. Gedeon, “Fuzzy rule interpolation by the conservation of relative fuzziness”, Technical Report TR 97/2. Hirota Lab, Dept. of Comp. Int. and Sys. Sci., Tokyo Inst. of Techn., Yokohama, 1997. [BibTex]

FIVE (Fuzzy Interpolation based on Vague Environment)

Dávid Vincze, Szilveszter Kovács: Performance Optimization of the Fuzzy Rule Interpolation Method 'FIVE' Journal of Advanced Computational Intelligence and Intelligent Informatics (JACIII), Vol.15 No.3, Special issue on Fuzzy Rule Interpolation, 2011, Fuji Technology Press, Tokyo, Japan, pp. 313-320. , ISSN 1343-0130 http://www.fujipress.jp/JACIII/JACII00150003.html#no_150301 [draft version]
Kovács, Sz.: Extending the Fuzzy Rule Interpolation "FIVE" by Fuzzy Observation, Advances in Soft Computing, Computational Intelligence, Theory and Applications, Bernd Reusch (Ed.), S pringer Germany, ISBN 3-540-34780-1, pp. 485-497, (2006). [ Draft version pdf]
Sz. Kovács, L. T. Kóczy, “Application of an approximate fuzzy logic controller in an AGV steering system, path tracking and collision avoidance strategy”, Fuzzy Set Theory and Applications , In Tatra Mountains Mathematical Publications, Mathematical Institute Slovak Academy of Sciences, vol.16, Bratislava, Slovakia, 1999, pp. 456-467. [BibTex] [ps]
Kovács, Sz., Kóczy, L.T.: The use of the concept of vague environment in approximate fuzzy reasoning, Fuzzy Set Theory and Applications, Tatra Mountains Mathematical Publications, Mathematical Institute Slovak Academy of Sciences, Bratislava, Slovak Republic, vol.12, pp. 169-181, 1997. [BibTex] [ps] [ Draft version pdf]
Kovács, Sz., Kóczy, L.T.: Approximate Fuzzy Reasoning Based on Interpolation in the Vague Environment of the Fuzzy Rulebase as a Practical Alternative of the Classical CRI, Proceedings of the 7th International Fuzzy Systems Association World Congress, pp.144-149, Prague, Czech Republic, (1997) [ Draft version pdf]
Kovács, Sz.: New Aspects of Interpolative Reasoning, Proceedings of the 6th. International Conference on Information Processing and Management of Uncertainty in Knowledge-Based Systems , Granada, Spain, pp. 477-482, 1996. [BibTex] [ Draft version pdf]

FRIPOC (Fuzzy Rule Interpolation based on Polar Cuts)

Johanyák, Zs. Cs., Kovács Sz.: Fuzzy Rule Interpolation Based on Polar Cuts, Computational Intelligence, Theory and Applications, Springer Berlin Heidelberg, 2006, ISBN 978-3-540-34780-4, pp. 499-511. [BibTex][pdf]
Johanyák, Zs. Cs., Alvarez Gil, R. P. and Kovács, Sz.:Extending the Polar Cut based set interpolation and Revision Methods to the case of Polygonal and Gaussian Shaped Fuzzy Sets, Annals of the Faculty of Engineering Hunedoara 2007, Tome V, Fascicole 3, ISSN 1584-2673, pp. 191-198. [BibTex] [abstract] [full-text]

Johanyák, Zs. Cs., Kovács Sz.: Fuzzy set approximation using polar co-ordinates and linguistic term shifting, SAMI 2006, 4^th Slovakian-Hungarian Joint Symposium on Applied Machine Intelligence, Herl'any, Slovakia, January 20-21 2006, ISBN 963 7154 44 2, pp. 219-227. [BibTex] [pdf]

Johanyák, Zs. Cs., Kovács, Sz.: Polár-vágat alapú fuzzy halmaz-interpoláció, Fiatal Müszakiak Tudományos Ülésszaka XI., International Scientific Conference, 2006. március 24-25., Kolozsvár, ISBN 973-8231-50-7, pp. 169-172. [BibTex] [pdf]

GM (Generalized Methodology of fuzzy rule interpolation)

P. Baranyi, L. T. Kóczy, and Gedeon, T. D.: A Generalized Concept for Fuzzy Rule Interpolation. IEEE Trans. on Fuzzy Systems, vol. 12, No. 6, 2004, pp 820-837. [BibTex]

Solid cutting based fuzzy rule interpolaton

Baranyi, P., Kóczy, L. T.: A General and Specialised Solid Cutting Method for Fuzzy Rule Interpolation, In J. BUSEFAL, URA-CNRS. Vol. 66. Toulouse, France, 1996, pp. 13-22. [BibTex] [pdf]
P. Baranyi, T. D. Gedeon: Rule Interpolation by Spatial Geometric Representation, 6th International Conference on Information Processing and Management of Uncertainty in Knowledge-Based Systems (IPMU'96), Granada, Spain, 1-5 July, 1996, pp. 483-488.
P. Baranyi and L. T. Kóczy: Multidimensional Fuzzy Rule Inter- and Extrapolation based on geometric solution, 7th International Power Electronic and Motion Control Conference (PEMC'96), Budapest, Hungary, 2-4 September, 1996, Vol. 3. pp. 443-447.
P. Baranyi, L. T. Kóczy: The general method for fuzzy rule interpolation, International Computer Science Conference (MicroCAD'96), Miskolc, Hungary, 29th February, 1996, pp. 7-12.
P. Baranyi, T. D. Gedeon and L. T. Kóczy: A General Interpolation Technique in Fuzzy Rule Bases with Arbitrary Membership Functions, IEEE International Conference System, Man, and Cybernetics (SMC'96), Beijing, China, 14-17 October, 1996, pp. 510-515.
P. Baranyi, T. D. Gedeon, L. T. Kóczy: A General Method for Fuzzy Rule Interpolation: Specialized for Crisp, Triangular and Trapezoidal Rules, Third European Conference on Fuzzy and Intelligent Techniques (EUFIT'95), Aachen, Germany, 28-31 August, 1995, pp. 99-103.
P. Baranyi: An Algorithm for Solid Cutting Utilised in Generalised Fuzzy Rule Interpolation International Symposium. on Smart Structures and Microsystems (IS3M'00), Hong Kong, 19-21 October, 2000, pp. C3-4.

Interpolation based on revision principle methods

P. Baranyi, H. Sakuragi, M. Sugiyama and L. T. Kóczy: Multi Dimensional Linear Revision Principle for the Generalised Fuzzy Rule Interpolation, 6th International Conference on Soft Computing, Iizuka, Fukuoka, Japan, 1-4 October, 2000, pp. 793-800.
P. Baranyi and L. T. Kóczy: A General Revision Principle as a Way Between the Revision Principle and the Rule Interpolation Techniques, 6th IEEE International Conference on Fuzzy Systems (FUZZ-IEEE'97), Barcelona, Spain, 1997, pp. 561-566.
P. Baranyi and L. T. Kóczy: A General Revision Principle Method with Arbitrary Membership Functions, International Computer Science Conference (MicroCAD'97), Miskolc, Hungary, 26-27 February, 1997, pp. 61-64.
Shen, Z., Ding, L., Mukaidono, M.: Methods of revision principle, in Proc. 5th IFSA World Congr., 1993, pp. 246-249. [BibTex]

Interpolation based on semantic revision methods

P.Baranyi, S.Mizik, L.T.Kóczy, T.D.Gedeon and I.Nagy: Fuzzy Rule Base Interpolation Based on Semantic Revision, IEEE International Conference System, Man, and Cybernetics (SMC'98), San Diego, California, USA, 11-14 October, 1998, pp. 1306-1311.

IMUL (Improved MULtidimensional α -cut based fuzzy interpolation)

K. W. Wong, D. Tikk, T. D. Gedeon and L. T. Kóczy, “Fuzzy rule interpolation for multidimensional input spaces with applications: A case study”. IEEE Trans of Fuzzy Systems , 13(6), pp. 809–819, December 2005. [BibTex]
K. W. Wong, T. D. Gedeon, and D. Tikk: “An improved multidimensional α-cut based fuzzy interpolation technique”, In Proc. Int. Conf Artificial Intelligence in Science and Technology (AISAT’2000) , Hobart, Australia, 2000, pp. 29–32. [BibTex] [pdf]

KH (Kóczy and Hirota)

L. T. Kóczy, and K. Hirota, “Size Reduction by Interpolation in Fuzzy Rule Bases,” IEEE Transactions of System, Man and Cybernetics, Vol. 27, pp. 14–25, 1997. [BibTex]
Shi, Y., Mizumoto, M., Wu, Z. Q.: Reasoning conditions on Kóczy's interpolative reasoning method in sparse fuzzy rule bases, Fuzzy Sets Syst., vol. 75, pp. 63-71, 1995. [BibTex]
L. T. Kóczy, and Sz. Kovács, "Shape of the Fuzzy Conclusion Generated by Linear Interpolation in Trapezoidal Fuzzy Rule Bases," in Proceedings of the 2nd European Congress on Intelligent Techniques and Soft Computing, pp. 1666-1670, Aachen, 1994. [BibTex]
L. T. Kóczy, and Sz. Kovács The convexity and piecewise linearity of the fuzzy conclusion generated by linear fuzzy rule interpolation, In J. BUSEFAL 60, Automne, URA-CNRS. Toulouse, France, Univ. Paul Sabatier, 1994, pp. 23-29. [BibTex] [pdf]
Kóczy, L. T., Kovács, Sz.: On the preservation of the convexity and piecewise linearity in linear fuzzy rule interpolation, Tokyo Inst. Technol., Yokohama, Japan, Tech. Rep. TR 93-94/402, LIFE Chair Fuzzy Theory, 1993. [BibTex]
L. T. Kóczy, K. Hirota, 1992: Interpolative reasoning with insufficient evidence in sparse fuzzy rule bases. In Information Sciences 71, 1992. pp 169-201. ISSN 0020-0255 [BibTex]
L. T. Kóczy, K. Hirota, “Rule interpolation by α-level sets in fuzzy approximate reasoning”, In J. BUSEFAL, Automne, URA-CNRS. Vol. 46. Toulouse, France, 1991, pp. 115-123. [BibTex] [pdf]

KH stabilized

D. Tikk: Notes on the approximation rate of fuzzy KH interpolator. Fuzzy Sets and Systems, 138(2), pp. 441-453, September 2003. [BibTex] [pdf]
D. Tikk, I. Joó, L. T. Kóczy, P. Várlaki, B. Moser, and T. D. Gedeon. Stability of interpolative fuzzy KH-controllers. Fuzzy Sets and Systems, 125(1) pp. 105–119, January 2002. [BibTex] [pdf]

LESFRI (Least Squares based Fuzzy Rule Interpolation)

Johanyák, Zs. Cs., Kovács, Sz.: Fuzzy Rule Interpolation by the Least Squares Method, 7th International Symposium of Hungarian Researchers on Computational Intelligence (HUCI 2006), November 24-25, 2006 Budapest, ISBN 963 7154 54 X, pp. 495-506. [BibTex] [pdf]
Johanyák, Zs. Cs., Kovács Sz.: Fuzzy Set Approximation by Weighted Least Squares regression, Annals of the Faculty of Engineering Hunedoara 2006, Tome IV, Fascicole 1, ISSN 1584-2665, pp. 27-34. [BibTex] [pdf]
Johanyák, Zs. Cs. and Alvarez Gil, R. P.: Generalization of the single rule reasoning method SURE-LS for the case of arbitrary polygonal shaped fuzzy sets, Annals of the Faculty of Engineering Hunedoara, ISSN 1584-2665, Tome VI (2008), Fascicule 2, pp. 161-170., [BibTex] [pdf]

Johanyák, Zs. Cs.: Fuzzy halmaz-interpoláció legkisebb négyzetek módszerével, Gép 2006/10, ISSN 0016-8572, pp. 51-57. [pdf]
Z.C. Johanyák: Performance Improvement of the Fuzzy Rule Interpolation Method LESFRI, in Proceeding of the 12th IEEE International Symposium on Computational Intelligence and Informatics, Budapest, Hungary, November 21-22, 2011, pp. 271-276. [pdf]

MACI (Modified α -Cut based Interpolation)

P. Baranyi, D. Tikk, Y. Yam and L. T. Kóczy: Investigation of a new alpha-cut based fuzzy interpolation method, CUHK-MAE-9906, Dept. Mechanical and Automation Eng., The Chinese University of Hong Kong, Hong Kong, 1999
P. Baranyi, D. Tikk, T. D. Gedeon and L. T. Kóczy: Transformation of the alpha-cut interpolation into the space of normal conclusion, IEEE International Conference on Intelligent Engineering Systems (INES'99), Poprad, Slovakia, 1-3 November, 1999, pp. 603-607.
P. Baranyi, D. Tikk, Y. Yam, L. T. Kóczy and L. Nádai A New Method for Avoiding Abnormal Conclusion for alpha-cut Based Rule Interpolation, 8th IEEE International Conference on Fuzzy Systems (FUZZ-IEEE'99), Seoul, Korea, 22-25August, 1999, pp. 383-388.
P. Baranyi, D. Tikk, T. D. Gedeon and L. T. Kóczy: Alpha-cut Interpolation Technique in the Space of Regular Conclusion, 9th IEEE International Conference on Fuzzy Systems (FUZZ-IEEE'00), San Antonio, Texas, USA, 7-10 May, 2000, pp. 478-482.
D. Tikk, T. D. Gedeon, and P. Baranyi. A fuzzy interpolation algorithm closed over CNF sets. International Journal of Fuzzy Systems. 4(1) pp. 634-638, March 2002. [BibTex]
D. Tikk, P. Baranyi, T. D. Gedeon, and L. Muresan, "Generalization of a rule interpolation method resulting always in acceptable conclusion", in Tatra Mountains Math. Publ., 21, pp. 73-91, 2001. [BibTex]
D. Tikk , P. Baranyi, Comprehensive analysis of a new fuzzy rule interpolation method, In IEEE Trans. Fuzzy Syst., vol. 8, pp. 281-296, June 2000. [BibTex] [pdf]
Tikk, D., Baranyi, P., Yam, Y., Kóczy, L. T.: Stability of a new interpolation method, in Proc. IEEE Conf. Syst. Man. and Cybern. (SMC '99), Tokyo, Japan, 1999, pp. III/7-III/9. [BibTex]
D. Tikk, P. Baranyi, Y. Yam, and L. T. Kóczy. On the preservation of piecewise linearity of a modified rule interpolation approach. In Proc. of the EUROFUSE-SIC'99, pp. 550-555, Budapest, Hungary, 25-28 May, 1999 [BibTex] [pdf]
Y. Yam, P. Baranyi, D. Tikk, and L. T. Kóczy. Eliminating the abnormality problem of alpha-cut based interpolation. In Proc. of the 8th IFSA World Congress, volume 2, pp. 762-766, Taipei, Taiwan, 17-20 August, 1999. [BibTex]
D. Tikk, P. Baranyi and Y. Yam: Stability analysis of an a-cut based interpolation method, IEEE International Conference on Intelligent Engineering Systems (INES'99), Poprad, Slovakia, 1-3 November, 1999, pp. 599-601.
D. Tikk, P. Baranyi, L. T. Kóczy and T. D. Gedeon: On a stable and always applicable interpolation method, 9th IEEE International Conference on Fuzzy Systems (FUZZ-IEEE'00), San Antonio, Texas, 7-10 May, 2000, pp. 1049-1051.
D. Tikk, L. Muresan, P. Baranyi and T. D. Gedeon: Generalisation and properties of the modified rule interpolation method, 6th International Conference on Soft Computing, Iizuka, Japan, 1-4 October, 2000, pp. 769-776.
D. Tikk, T. D. Gedeon and P. Baranyi: A fuzzy interpolation algorithm closed over CNF sets, International Journal of Fuzzy Systems, Vol. 4, No. 1, 2002, pp. 634-638.
D. Tikk, P. Baranyi, T. D. Gedeon and L. Muresan: Generalization of a rule interpolation method resulting always in aceptable conclusion, Tatra Mountains Mathematical Publications, Mathematical Institute Slovak Academy of Sciences, Vol. 21, 2001, pp. 73-91.

VEIN (Vague Environment-based two-step fuzzy rule INterpolation)

Johanyák, Zs. Cs., Kovács, Sz.: Vague Environment-based Two-step Fuzzy Rule Interpolation Method, 5th Slovakian-Hungarian Joint Symposium on Applied Machine Intelligence and Informatics (SAMI 2007), January 25-26, 2007 Poprad, Slovakia, ISBN 978 963 7154 56 0, pp. 189-200. [pdf][BibTex]
Johanyák, Zs. Cs.: Vague Environment Based Set Interpolation, A GAMF Közleményei, Kecskemét, XXI. évfolyam (2006-2007), ISSN 0230-6182, pp. 33-44. [pdf]

VKK (Vass, Kalmár and Kóczy)

G. Vass, L. Kalmár, L. T. Kóczy, "Extension of the fuzzy rule interpolation method", in Proc. Int. Conf. Fuzzy Sets Theory Applications (FSTA '92), Liptovsky M., Czechoslovakia, 1992, pp. 1-6. [BibTex]

Papers about other FRI techniques

Hierarchical fuzzy rule interpolation

L. T. Kóczy, K. Hirota, L. Muresan, P. Baranyi, and D. Tikk. Interpolation in hierarchical fuzzy rule bases with sparse meta-levels. In Proc. of the IEEE Int. Conf. on Intelligent Engineering Systems (INES'99), pp. 581-585, Poprad, Slovakia, 1-3 November, 1999. [BibTex]

Interpolation in Cartesian Spaces

Y. Yam, M. L. Wong and P. Baranyi: Interpolation as Mappings Between Cartesian Spaces, International Conference on Intelligent Technologies, Bangkok, Thailand, December 13-15, 2000, pp. 459-466

Interpolation with Function Space Representation of Membership Functions

Y. Yam, M. L. Wong, and P. Baranyi, "Interpolation with Function Space Representation of Membership Functions," IEEE Transactions on Fuzzy Systems, Vol. 14. No. 3., June, 2006. pp. 398-411.

Combination of the SVD base reduction and fuzzy interpolation techniques

P. Baranyi, J. Kybic, Y. Yam and L. T. Kóczy: Extension of singular value rule base reduction to the General Fuzzy Rule Interpolation, Simposium on Qualitative System Modelling, Qualitative Fault Diagnosis and Fuzzy Logic and Controll, Budapest, Hungary, 1997.
P.Baranyi: Fuzzy Rule Base Interpolation, Reduction and Singular Value Based Approximation with Non-Singleton Support and with Sugeno Type Rule Base, Chinese University of Hong Kong, Dept. Mechanical and Automation Engineering, 1996, p. 64.
P.Baranyi, A. Martinovics, Sz. Kovács, D. Tikk and Yeung Yam: A General Extension of the Fuzzy SVD Rule Base Reduction Using Arbitrary Inference Algorithm" IEEE Int. Conf. System Man and Cybernetics (IEEE SMC'98) 1998 San Diego, California, USA, 11-14 October, 1998, pp. 2785-2790.

HS interpolation (Transformation based interpolation)

Z. H. Huang and Q. Shen, "Fuzzy interpolation and extrapolation: a practical approach, "in IEEE Trans. on Fuzzy Systems, vol. 16, no. 1, pp. 13 - 28, Feb 2008.
Z. H. Huang and Q. Shen. Fuzzy Interpolative Reasoning via Scale and Move Transformations, IEEE TRANSACTIONS ON FUZZY SYSTEMS, VOL. 14, NO. 2, APRIL 2006. [BibTex] [pdf]
Z. H. Huang and Q. Shen. Transformation based interpolation with generalized representative values. In Proc. of the International Conference on Fuzzy Systems, pages 821 - 826, 2005. [BibTex] [pdf]
Z. H. Huang and Q. Shen. Preserving piece-wise linearity in fuzzy interpolation. In Proc. of the 2005 U K Workshop on Computational Intelligence, 2005. [BibTex] [pdf]
Huang, Z., Shen, Q: Fuzzy interpolation with generalized representative values, in Proceedings of the UK Workshop on Computational Intelligence, pp. 161-171, 2004. [BibTex] [pdf]
Huang, Z. H. and Shen, Q., Scale and move transformation-based fuzzy interpolative reasoning: A revisit, in Proceedings of the 13th International Conference on Fuzzy Systems, Vol. 2, pp. 623 - 628, 2004. [BibTex] [pdf]
Huang, Z. H., Shen, Q.: A New Interpolative Reasoning Method Based on Center of Gravity, in Proceedings of the 12th International Conference on Fuzzy Systems, Vol. 1, pp. 25 - 30, 2003. [BibTex] [pdf]

Other techniques

Bouchon-Meunier, B., Marsala, C.; Rifqi, M.: Interpolative reasoning based on graduality. In Proc. FUZZ-IEEE'2000, 2000, pp. 483-487. [BibTex]
Wen-Hoar Hsiao, Shyi-Ming Chen, Chia-Hoang Lee: A new interpolative reasoning method in sparse rule-based systems,Fuzzy Sets and Systems 93 (1998), pp. 17-22. [BibTex]
Jenei, S.: Interpolation and Extrapolation of Fuzzy Quantities revisited - (I). An Axiomatic Approach. Soft Computing, ISSN: 1432-7643, 5 (2001), pp. 179-193. [BibTex] [ pdf ]
Johanyák, Zs. Cs., Kovács, Sz.: Fuzzy set approximation based on linguistic term shifting, MicroCad 2006, Miskolc, March 16-17, 2006, Section N: Applied Information Engineering, ISBN 963 661 714 7, pp. 123-128. [BibTex] [pdf]
Vetterlein, Thomas: Spline interpolation between hyperspaces of convex of fuzzy sets, Fuzzy Sets Syst. 157 (2006), 2472 - 2481. [BibTex] [ pdf ]
Vetterlein,Thomas and Štĕpnička, Martin: Completing fuzzy if-then rule bases by means of smoothing splines, Int. J. Uncertain. Fuzziness Knowl. Based Syst. 14 (2006), 235 - 244. [BibTex] [ pdf ]
Yam, Y., Kóczy, L. T.: Representing membership functions as points in high dimensional spaces for fuzzy interpolation and extrapolation. Technical Report CUHK-MAE-97-03, Dept. Mech. Automat. Eng., The Chinese Univ. Hong Kong, Hong Kong, 1997. [BibTex]
Yan, S., Mizumoto, M., Qiao, W. Z.: An Improvement to Kóczy and Hirota's Interpolative Reasoning in Sparse Fuzzy Rule Bases, in International Journal of Approximate Reasoning, 1996, Vol. 15, pp. 185-201. [BibTex]

Applications of FRI techniques

Survey

Johanyák, Z.C., Berecz, A.: Survey on Practical Applications of Fuzzy Rule Interpolation, Proceedings of the 1^st International Scientific and Expert Conference TEAM 2009, December 10-11, Slavonski Brod, pp. 205-213. [pdf]

Student evaluation

Z.C. Johanyák: Student Evaluation Based On Fuzzy Rule Interpolation, International Journal of Artificial Intelligence, Autumn 2010, Vol. 5, No. A10, ISSN 0974-0635, pp. 37-55. [IJAI link]

Prediction

Johanyák, Z. C. and Ádámné, M. A.: Fuzzy Modeling of the Relation between Components of Thermoplastic Composites and their Mechanical Properties, Proceedings of the 5th International Symposium on Applied Computational Intelligence and Informatics (SACI 2009), May 28-29, 2009, Timisoara, Romania, pp. 481-486. [IEEExplore link]
Johanyák, Z. C., Ádámné, A.M.: Mechanical Properties Prediction of Thermoplastic Composites using Fuzzy Models, SCIENTIFIC BULLETIN of “Politehnica” University of Timisoara, ROMANIA, Transactions on AUTOMATIC CONTROL and COMPUTER SCIENCE, ISSN 1224-600X, Vol: 54(68) No: 4/ 2009, pp. 185-190. [pdf]
Z. C. Johanyák and A. Ádám-Major: Yield Strength Prediction for Thermoplastic Composites based on a Sparse Fuzzy Model, in Proceedings of the 11th IEEE International Symposium on Computational Intelligence and Informatics (CINTI 2010), 18–20 November, 2010, Budapest, Hungary, pp. 151-156. ISBN 978-1-4244-9278-7, IEEE Catalog Number CFP1024M-PRT. [IEEExplore link]
Z.C. Johanyák and J. Kovács: Fuzzy Model based Prediction of Ground-Level Ozone Concentration, Acta Technica Jaurinensis, Series Intelligentia Computatorica, ISSN 1789-6932, Vol. 4. No. 1. 2011, pp. 113-126. [pdf]
Z.C. Johanyák, S. Kovács: Prediction of the Network Administration Course Results Based on Fuzzy Inference, (Eds: G. Bognár, T. Tóth) Applied Information Science, Engineering and Technology, Topics in Intelligent Engineering and Informatics Volume 7, 2014, pp 19-28., DOI: 10.1007/978-3-319-01919-2_2 [link]

Adaptive applications

Sz. Kovács, L. T. Kóczy: Application of Interpolation-based Fuzzy Logic Reasoning in Behaviour-based Control Structures, Proceedings of the FUZZIEEE, IEEE International Conference on Fuzzy Systems, 25-29 July, Budapest, Hungary, IEEE Catalog Number: 04CH37542C, ISBN: 0-7803-8354-0, p.6, (2004). [ Draft version
Kovács, Sz.: Fuzzy Behaviour-based Control Techniques in Adaptive System Applications, Proceedings of the ICCC 2003, IEEE International Conference on Computational Cybernetics, August 29-31, Siófok, Hungary, ISBN 963 7154 18 3, p. 6, (2003).
[ Draft version] [ Presentation slides]

Anaerobic Tapered Fluidized Bed Reactor

Johanyák, Zs. Cs., Parthiban, R, and Sekaran, G.: Fuzzy Modeling for an Anaerobic Tapered Fluidized Bed Reactor, SCIENTIFIC BULLETIN of “Politehnica” University of Timisoara, ROMANIA, Transactions on AUTOMATIC CONTROL and COMPUTER SCIENCE, ISSN 1224-600X, Vol: 52(66) No: 2 / 2007, pp.67-72. [draft version]

Parameter determination - Hydrocyclones

Wong, K.W., Fung, C.C., Eren, H., and Gedeon, T. (2003) "Determination of Parameter d50c of Hydrocyclones Using Improved Multidimensional Alpha-cut Based Fuzzy Interpolation Technique," IEEE Transactions on Instrumentation and Measurement, Vol. 52, No. 6, December, pp. 1865 - 1869. [BibTex]

Petrophysical properties prediction

Wong, K.W., and Gedeon, T.D., (2001) "Fuzzy rule interpolation for multidimensional input space with petroleum engineering application," Proceedings of Joint 9th IFSA World Congress and 20th NAFIPS International Conference, July 2001, Vancouver, Canada, pp. 2470 - 2475. [BibTex]
Wong, K.W., and Gedeon, T.D. (2000) "Petrophysical Properties Prediction Using Self-generating Fuzzy Rules Inference System with Modified Alpha-cut Based Fuzzy Interpolation", Proceedings of The Seventh International Conference of Neural Information Processing ICONIP 2000, November 2000, Korea, pp. 1088 - 1092. [BibTex]
Johanyák, Zs. Cs., Kovács, Sz.: Fuzzy modeling of Petrophysical Properties Prediction Applying RBE-DSS and LESFRI, International Symposium on Logistics and Industrial Informatics (LINDI 2007), September 13-15, 2007, Wildau, Germany, ISBN 1-4244-1441-5, pp.87-92. [draft version]
Johanyák, Zs. Cs., Kovács, Sz.: Polar-cut Based Fuzzy Model for Petrophysical Properties Prediction, SCIENTIFIC BULLETIN of “Politehnica” University of Timisoara, ROMANIA, Transactions on AUTOMATIC CONTROL and COMPUTER SCIENCE, ISSN 1224-600X, Vol: 57(67) No: 24/ 2008, pp. 195-200. [draft version]

Tool life modelling

Johanyák, Zs. Cs. and Szabó, A.: Tool life modelling using RBE-DSS method and LESFRI inference mechanism, A GAMF Közleményei, Kecskemét, XXII. (2008), ISSN 0230-6182, pp. 5-16. [pdf]

User adaptive applications (Kansei Technology)

Sz. Kovács: Fuzzy Reasoning and Fuzzy Automata in User Adaptive Systems, Proceedings of the 18th Hungarian-Korean Seminar on Soft Computing and Computational Intelligence, October 2-3, Budapest, Hungary, ISBN 963 206 066 0, pp.63-72, (2002).
[ Draft version pdf] [ Presentation slides]
Sz. Kovács: Fuzzy Reasoning and Fuzzy Automata in User Adaptive Emotional and Information Retrieval Systems, Proceedings of the 2002 IEEE International Conference on Systems, Man and Cybernetics, October 6-9, Hammamet, Tunisia, 02CH37349C, ISBN: 0-7803-7438-X, WP1N5, p.6, (2002). [ Draft version]
Sz. Kovács, N. Kubota, K. Fujii and L.T. Kóczy: Behaviour based techniques in user adaptive Kansei technology, Proceedings of the VSMM2000, 6th International Conference on Virtual Systems and Multimedia, October 3-6, Ogaki, Gifu, Japan, pp.362-369, (2000). [ Draft version]
Sz. Kovács, N. Kubota, K. Fujii and L.T. Kóczy: Interpolative Fuzzy Reasoning and Fuzzy Automata in Kansei Technology, Proceedings of the AFSS2000, the Fourth Asian Fuzzy Systems Symposium, pp.335-340, May 31-June 3, Tsukuba, Japan, (2000). [ Draft version]

User adaptive applications Matlab code

Vehicle control

Sz. Kovács: Interpolative Fuzzy Reasoning and Fuzzy Automata in Adaptive System Applications, Proceedings of the IIZUKA2000, 6th International Conference on Soft Computing, October 1-4, Iizuka, Fukuoka, Japan, pp.777-784, (2000). [ Draft version pdf]
Sz. Kovács: Similarity based Control Strategy Reconfiguration by Fuzzy Reasoning and Fuzzy Automata, Proceedings of the IECON-2000, IEEE International Conference on Industrial Electronics, Control and Instrumentation, October 22-28, Nagoya, Japan, pp.542-547, (2000). [ Draft version pdf]
Kovácss, Sz., Kóczy, L.T.: Application of an approximate fuzzy logic controller in an AGV steering system, path tracking and collision avoidance strategy, Fuzzy Set Theory and Applications, Tatra Mountains Mathematical Publications, Mathematical Institute Slovak Academy of Sciences, Vol.16, pp. 456-467, Bratislava, Slovakia, (1999). [ Draft version pdf]
Kovács, Sz., Kóczy, L.T.: Application of the Approximate Fuzzy Reasoning Based on Interpolation in the Vague Environment of the Fuzzy Rulebase in the Fuzzy Logic Controlled Path Tracking Strategy of Differential Steered AGVs, Computational Intelligence - Theory and Applications, Lecture Notes in Computer Science, 1226, Springer, pp.456-467, Germany, (1997). [ Draft version pdf]
Vincze, D., Kovács, Sz.: Applying Fuzzy Rule Interpolation for the Task of Controlling Guidance and Obstacle Avoidance Behaviour of a Robot, Proceedings of the 9th International Symposium of Hungarian Researchers on Computational Intelligence and Informatics, Budapest, Hungary, November 6-8, 2008, ISBN 978-963-7154-82-9, pp. 229-241.
Vincze, D. and Kovács, S.: Using fuzzy rule interpolation based automata for controlling navigation and collision avoidance behaviour of a robot, IEEE 6th International Conference on Computational Cybernetics, November 27-29, 2008, Stara Lesná, Slovakia, pp. 79-84.

Vehicle control Matlab code

Comparison of fuzzy rule interpolation methods

D. Tikk, Z.C. Johanyák, S. Kovács, and K.W. Wong: Fuzzy Rule Interpolation and Extrapolation Techniques: Criteria and Evaluation Guidelines, Journal of Advanced Computational Intelligence and Intelligent Informatics, ISSN 1343-0130, Vol.15, No.3, 2011, pp. 254-263. [link]
P. Baranyi, S. Mizik and L. T. Kóczy: Fuzzy Rule Interpolation Methods in Comparison, International Computer Science Conference (MicroCAD'98), Miskolc, Hungary, 24-26 February, 1998, pp. 27-30.
S. Mizik, P. Baranyi, P. Korondi and L. T. Kóczy: Comparison of alpha-cut, Modified alpha-cut, VKK and the General Fuzzy Interpolation for the Widely Popular Cases of Triangular Sets, EFDAN'99, Dortmund, Germany, 14-15 June, 1999, pp. 165-172.
S. Mizik, P. Baranyi and L. T. Kóczy: Widely popular cases of interpolation techniques, 8th IEEE International Conference on Fuzzy Systems (FUZZ-IEEE'99), Seoul, Korea, 22-25 August, 1999, pp. 389-394.
S. Mizik, P. Baranyi, P. Korondi and L. T. Kóczy: Comparison of fuzzy interpolation techniques, Joint Eurofuse-Soft and Intelligent Computing Conference (EUROFUSE-SIC'99), Budapest, Hungary, 25-28 May, 1999, pp. 544-549.
Mizik, S.: Fuzzy Rule Interpolation Techniques in Comparison, MFT Periodika 2001-04. Hungarian Society of IFSA, Hungary, 2001. [BibTex] [pdf]
Johanyák, Zs. Cs., Kovács, Sz.: A brief survey on fuzzy set interpolation methods, Doktoranduszok Fóruma, Miskolci Egyetem, 9 November 2006, pp. 72-77. [pdf]

Johanyák Zs. Cs.: Fuzzy következtetési módszerek, Matematika, fizika, számítástechnika föiskolai oktatók XXVIII. Konferenciája, Nyíregyháza, 2004. augusztus 25-27. [BibTex] [ zip]

Johanyák, Zs. Cs., Kovács Sz.: Intepolation-based Fuzzy Reasoning - a comparison, microCAD 2005, International Scientific Conference, Section N:Applied Information Engineering, 10-11 March 2005, Miskolc, ISBN 963 661 660 4, pp. 189-194. [BibTex] [pdf]
Johanyák, Zs. Cs., Kovács Sz.: A brief survey and comparison on various interpolation based fuzzy reasoning methods, 6^th International Symposium of Hungarian Researchers on Computational Intelligence, November 18-19, 2005 Budapest, ISBN 963 7154 43 4, pp. 323-334. [BibTex] [pdf]
Johanyák, Zs. Cs., Kovács Sz.: Single Rule Reasoning Methods in Fuzzy Rule Interpolation, Doktoranduszok Fóruma, Miskolci Egyetem, 9 November 2005, pp. 75-80. [BibTex] [ pdf ]

Johanyák Zs. Cs., Kovács Sz.: Fuzzy következtetés sürü és ritka szabálybázisok esetén, Magyar Tudomány ünnepe, Bács-Kiskun Megyei Tudományos Fórum, Kecskemét, 2005. november.10, ISSN: 1586-846x, pp. 201-206. [pdf]

Johanyák, Zs. Cs., Kovács Sz.: A brief survey and comparison on various interpolation based fuzzy reasoning methods, Acta Polytechnica Hungarica, Vol. 3, No. 1, 2006, ISSN 1785-8860, pp. 323-334. [BibTex] [pdf]
Johanyák, Zs. Cs., Kovács Sz.: Survey on three single rule reasoning methods, A GAMF Közleményei, Kecskemét, XXI. évfolyam (2006-2007), ISSN 0230-6182, pp. 75-86 [pdf]
Johanyák, Zs. Cs., Kovács Sz.: Survey on various interpolation based fuzzy reasoning methods, Production Systems and Information Engineering, Volume 3 (2006), HU ISSN 1785-1270, pp. 39-56 [BibTex] [ draft pdf ]
Tikk D., Johanyák Zs. Cs., Kovács Sz., Kok Wai Wong: Overview of Fuzzy Interpolation Techniques in Multidimensional Spaces, FSTA 2006, 8^th International Conference on Fuzzy Set Theory and Applications, Liptovský Ján, Slovak Republic, January 30 - February 3, 2006., pp. 104-105. [BibTex]

Johanyák Zs. Cs., Kovács, Sz.: Következtetés fuzzy szabálymódosítással, Fiatal Müszakiak Tudományos Ülésszaka XI., International Scientific Conference, 2006. március 24-25., Kolozsvár, ISBN 973-8231-50-7, pp. 165-168. [pdf]

Johanyák Zs. Cs., Berecz A.: Négy egylépéses fuzzy szabály-interpolációs módszer áttekintése, AGTEDU 2008, A Magyar Tudomány Ünnepe alkalmából rendezett tudományos konferencia kiadványa, Bács-Kiskun Megyei Tudományos Fórum, Kecskemét, 2008. november 6., ISSN: 1586-846x, pp. 269-274. [pdf]

Fuzzy system generation and parameter identification

Johanyák, Z. C. and Berecz, A.: Survey on fuzzy model identification methods resulting in sparse rule bases, A GAMF Közleményei, Kecskemét, XXII. (2008), ISSN 0230-6182, pp. 109-114. [pdf]
Z.C. Johanyák and O. Papp: Comparative analysis of two fuzzy rule base optimization methods, 6th IEEE International Symposium on Applied Computational Intelligence and Informatics (SACI 2011), 19-21 May 2011, Timisoara, Romania, pp. 235 - 240. [IEEExplore link]
Z.C. Johanyák, A. Kõházi-Kis: Incremental Fuzzy Rule Base Extension with Optimization, A GAMF Közleményei, Kecskemét, XXIV. (2010-2011), HU ISSN 1587-4400, pp. 23-34. [pdf]
Z.C. Johanyák and O. Papp:Benchmark Based Comparison of Two Fuzzy Rule Base Optimization Methods, Applied Computational Intelligence in Engineering and Information Technology Topics in Intelligent Engineering and Informatics, Eds: R.E. Precup, S. Kovács, S. Preitl and E.M. Petriu2012, Volume 1, pp. 83-94, DOI: 10.1007/978-3-642-28305-5_7. [Link]
Z.C. Johanyák: Clonal Selection Based Parameter Optimization for Sparse Fuzzy Systems, in Proceedings of IEEE 16th International Conference on Intelligent Engineering Systems (INES 2012), June 13–15, 2012, Lisbon, Portugal, pp. 369-373, DOI: 10.1109/INES.2012.6249861
Zsolt Csaba Johanyák, Olga Papp: A Hybrid Algorithm for Parameter Tuning in Fuzzy Model Identification, Acta Polytechnica Hungarica, Vol. 9, No. 6, 2012, pp. 153-165. [pdf]
Johanyák, Zs. Cs., Kovács, Sz.:The effect of different fuzzy partition parameterization strategies in gradient descent parameter identification, 4th International Symposium on Applied Computational Intelligence and Informatics (SACI 2007), May 17-18, 2007 Timisoara, Romania, ISBN 1-4244-1234-X, pp. 141-146. [BibTex] [draft pdf]
Johanyák, Z. C.: Sparse Fuzzy Model Identification Matlab Toolbox - RuleMaker Toolbox, IEEE 6th International Conference on Computational Cybernetics, November 27-29, 2008, Stara Lesná, Slovakia, pp. 69-74. [draft version]

RBE-DSS, RBE-SI

Johanyák, Zs. Cs., Kovács, Sz.: Sparse Fuzzy System Generation by Rule Base Extension, 11th IEEE International Conference of Intelligent Engineering Systems (IEEE INES 2007), June 29 - July 1, 2007, Budapest, ISBN 1-4244-1148-3, pp. 99-104. [BibTex] [draft pdf]

Johanyák Zs. Cs., Kovács, Sz.: Fuzzy rendszer generálása szabálybázis bövítéssel, AGTEDU 2007, 2007 november 8, Kecskemét, ISSN: 1586-846x, pp. 241-246.[pdf]

T. D. Gedeon, K. W. Wong, and D. Tikk: Constructing hierarchical fuzzy rule bases for classification. In Proc. of the 10th IEEE Int. Conf. on Fuzzy Systems (FUZZ-IEEE 2001), pp. 1388-1391, Melbourne, Australia, December 2-5, 2001. [BibTex] [pdf]

Complexity analysis

Krizsán, Z.: Complexity examination of three single rule reasoning methods, Annals of Faculty of Engineering Hunedoara, Tome VI (2008), Fascicule 1, (ISSN 1584 - 2665), pp. 177-182. [pdf]

Other related

Z.C. Johanyák, K.M. Bolla: Development of a Toolbox Supporting Fuzzy Calculations, Proceeding of International Symposium on Advanced Engineering and Applied Management - 40th Anniversary in Higher Education (1970-2010), 4-5 November 2010, Hunedoara, Romania, Vol II., ISBN pp. 155-158. 978-973-0-09340-7 [pdf]
Drenyovszki, R.: Távolságmértékek a fuzzy szabály-interpolációban, XIII. Fiatal Mûszakiak Tudományos Ülésszaka, Kolozsvár, 2008. március 14-15, pp. 69-72. [pdf]
Johanyák Zs. Cs., Kovács Sz.: A fuzzy tagsági függvény megválasztásáról, A GAMF Közleményei, Kecskemét, XIX. évfolyam (2004), ISSN 0230-6182, pp. 73-84. [pdf]
Johanyák Zs. Cs., Kovács Sz.: Neuro-fuzzy módszerek alkalmazása a kísérletmódszertanban, A GAMF Közleményei, Kecskemét, XX. évfolyam (2005), ISSN 0230-6182, pp. 37-48. [pdf]

Dubois, D. - Prade, H.: Gradual rules in approximative reasoning, Information Science, 61 (1992), pp. 103-122. [BibTex]
Johanyák Zs. Cs., Kovács Sz.: Distance based similarity measures of fuzzy sets, SAMI 2005, Slovakian-Hungarian Joint Symposium on Applied Machine Intelligence, Herl'any, Slovakia, January 21-22 2005, ISBN 963 7154 35 3, pp. 265-276. [BibTex] [pdf]
Johanyák, Zs. Cs., Kovács Sz.: Similarity measurement in interpolative fuzzy reasoning, ICCC 2005, 6^th International Carpathian Control Conference, 24-27 May 2005, Lillafüred, Proceedings of 6^th International Carpathian Control Conference, Volume I., ISBN 963 661 644, 2 pp. 317-322. [BibTex] [ pdf ]
Klawonn, F.: Fuzzy Sets and Vague Environments, Fuzzy Sets and Systems, 66, pp. 207-221, 1994. [BibTex]
L. T. Kóczy, K. Hirota: Ordering, distance and closeness of fuzzy sets, Fuzzy Sets And Systems, 60:281-293, 1993. [BibTex]
L. T. Kóczy, D. Tikk, and T. D. Gedeon. On fuzzy rule interpolation and radial basis functions. Research Working Paper RWP-IT-01-2000, School of Information Technology, Murdoch University, Perth, W.A., 2000. p. 13. [BibTex] [pdf]
D. Tikk: Saturation of alpha-cut based fuzzy interpolators. Australian Journal of Intelligent Information Processing Systems, 7(3/4), pp. 110-113, Spring/Summer 2001. [BibTex]
D. Tikk, P. Baranyi, Y. Yam, and L. T. Kóczy. Stability of a new interpolation method. In Proc. of the IEEE Int. Conf. on System, Man, and Cybernetics (IEEE SMC'99), volume III, pp. 7-9, Tokyo, Japan, 12-15 October, 1999. [BibTex]
D. Tikk, P. Baranyi, Y. Yam, and L. T. Kóczy. Stability analysis of an alpha-cut based interpolation method. In Proc. of the IEEE Int. Conf. on Intelligent Engineering Systems (INES'99), pp. 599-601, Poprad, Slovakia, 1-3 November, 1999 [BibTex] [pdf]
D. Tikk, L. T. Kóczy, and T. D. Gedeon. General KH-controllers are radial basis function interpolators. In Proc. of the 7th International Conference on Neural Information Processing (ICONIP'2000), pp. 1148-1151, Taejon, South Korea, 14-18 November, 2000 [BibTex] [pdf]
D. Tikk: Optimal order of convergence for alpha-cut based fuzzy interpolators. In P. Sincák, J. Vascák, V. Kvasnicka, and J. Pospíchal, editors, Intelligent Technologies - Theory and Applications. New Trends in Intelligent Technologies, number 76 in Frontiers in Artificial Intelligence and Applications, pp. 105-110, IOS Press - Ohmsha, Amsterdam-Berlin-Tokyo-Washington DC, June 16-19, 2002. Proc. of the European International Symposium on Computational Intelligence (E-ISCI 2002), Kosice, Slovakia. [BibTex] [pdf]
D. Tikk, L. T. Kóczy, and T. D. Gedeon. A survey on the universal approximation and its limits in soft computing techniques. Int. J. of Approx. Reasoning. 33(2), pp. 185-202, May 2003. [BibTex] [uncorrected proof in pdf]
D. Tikk: Notes on the approximation rate of fuzzy KH interpolator. Fuzzy Sets and Systems, 138(2), pp. 441-453, September 2003. [BibTex] [uncorrected proof in pdf]

FRI Toolbox
SFMI Toolbox
Implemented techniques: CRF; FIVE; FRIPOC; GM; ISCM; IRPM; ISRM; IMUL; KH; KH stabilized; LESFRI; MACI; VEIN; VKK
Other techniques: Hierarchical; HS Interpolation; ICS; IFSRMF; SVD; Others
Applications: Adaptive applications; Anaerobic tapered fluidized bed reactor; Hydrocyclone; Petrophysical properties prediction; Tool life modelling; User adaptive applications (Kansei Technology); Vehicle control
Comparison
System generation: RBE-DSS, RBE-SI
Other related