Inference Algorithm Independent SVD Fuzzy Rule Base Complexity Reduction

Journal of Advanced Computational Intelligence and Intelligent Informatics

Volumn 5, Issue 1, 2001, Pages 22-30

  Baranyi, Peter ^a,b   Yamb, Yeung ^a,b   Yang, Chi Tin ^c   Varlakic, Peter ^d   Michelberger, Pal ^a,c  

^a INSTITUTE OF EXPERIMENTAL MEDICINE   (Hungary)

^b BUDAPEST UNIVERSITY OF TECHNOLOGY AND ECONOMICS   (Hungary)

^c CHINESE UNIVERSITY OF HONG KONG   (Hong Kong)

^d NONE

Author keywords

AGV; complexity reduction; PSG inference; SVD fuzzy rule

Indexed keywords

FUZZY INFERENCE;

AGV; COMPLEXITY REDUCTION; ENGINEERING TOOLS; EXPONENTIAL COMPLEXITY; FUZZY RULE BASE; FUZZY TECHNIQUES; INFERENCE ALGORITHM; PRODUCT-SUM-GRAVITY INFERENCE; REDUCTION METHOD; SVD FUZZY RULE;

FUZZY RULES;

EID: 85168305356     PISSN: 13430130     EISSN: 18838014     Source Type: Journal    
DOI: 10.20965/jaciii.2001.p0022     Document Type: Article

References (27)

1. E.P.KJemem, L.T.Koczy and B.Moser, "Are fuzzy systems universal approximators?", Int. Jour. General Systems, to appear.
2. D.Tikk, "The nowhere denseness of Takagi-Sugeno-Kang type fuzzy controllers containing prerestricted number of rules", Tatra Mountains Mathematical Publications,vol. 16. 1999.pp.369-377.
3. LT.K6czy and K.Hirota "Fuzzy inference by compact rules", Proc. of Int. Conf. onFL&NN (IIZUKA '90), lizuka, Fukuoka, 1990, pp. 307-310.
4. LT.Koczy and K.Hirota, "Size Reduction by Interpolation in Fuzzy Rule Bases," IEEE Tr. S. M. C. 1997, vol. SMC-27, ppl4-25.
5. A.Stoica, "Fuzzy Processing Based on Alpha-Cut Mapping", 5* IFSA, 1993, pp. 1266-1269.
6. Wonseek Yu and Zeungnam Bien, 'Design of Fuzzy Logic Controller with Inconsistent Rule Base', Accepted in Journal of intelligent and Fuzzy Systems
7. l.Bruinzeel, V.Lacrose, A.Titli and H.B.Verbruggen, "Real time fuzzy control of complex systems using rule-base reduction methods", 2th World Aut. Con. (WAC'96), Monpellier, France, 1996.
8. M.Sugeno, M.F.Griffin, A.Bastian, "Fuzzy hierarchical control of an unmanned Helicopter", 51* IFSA World Congress, Seoul, 1993. pp. 1262-1265.
9. Y. Yam. "Fuzzy Approximation via Grid Point Sampling and Singular Value Decomposition" IEEE Tr. S.M.C. Vol. 27, No. 6, 1997, pp. 933-951.
10. Y.Yam, P.Baranyi and C.T.Yang ..Reduction of Fuzzy Rule Base Via Singular Value Decomposition" IEEE Trans, on Fuzzy Systems. Vol.: 7, No. 2, ISSN 1063-6706, 1999, pp. 120-131.
11. P.Baranyi and Y.Yam, "Singular Value-Based Approximation with Non-Singleton Fuzzy Rule Base", 7* Int. Fuzzy Systems Association World Congress (IFSA'97), Prague, 1997, pp. 127-132.
12. P.Baranyi and Y.Yam, "Singular Value-Based Approximation with Takagi-Sugeno Type Fuzzy Rule Base", 6* IEEE Int. Conf. on Fuzzy Systems (FUZZ-IEEE'97), Barcelona, Spain, 1997, pp. 265-270.
13. P.Baranyi, Y.Yam and LT.Koczy, "Multi Variables Singular Value Based Rule Interpolation", IEEE Int. Conf. S.M.C. USA, 1997, pp. 1598-1603.
14. Sz.Kovacs and L.T.Koczy, "The use of the concept of vague environment in approximate fuzzy reasoning". Fuzzy Set Theory and Applications, Tatra Mountains Mathematical Publications, Math. Inst. Slovak Academy of S. 1997, vol.12, pp.169-181.
15. P.Baranyi, T. D. Gedeon and L. T. K6czy, "A General Interpolation Technique in Fuzzy Rule Bases with arbitrary Membership Functions", IEEE Int. Conf. S.M.C, Beijing, China, 1996, pp. 510-515.
16. M. F. Kawaguchi and M.Miyakoshi "Fuzzy Spline Interpolation in Sparse Fuzzy Rule Bases" Proc. of 5* Int. Conf. on Soft Comp. and Inf./lnt. Systems IIZUKA 98, lizuka, Japan, 1998, pp 664-667.
17. P.Baranyi, D.Tikk, Y.Yam, L.T.Koczy and LNadai „A New Method for Avoiding Abnormal Conclusion for -cut Based Rule Interpolation" S* IEEE Int. Conf. on Fuzzy Systems (FUZZ-IEEE'99), Seoul, Korea, 1999, pp. 383-388.
18. P.Baranyi, Y.Yam and Chi-Tin Yang ..Complexity Reduction of the Rational General Form Adopted in B-spline and Fuzzy Logic Techniques", S* IEEE Int. Conf. on Fuzzy Systems (FUZZ-IEEE'99), Seoul, Korea, 1999, pp. 366-371.
19. Gerald Farin "Curves and Surfaces for Computer Aided Geometric Design" Academic press 1997
20. M. Mizumoto, " Fuzzy controls by product-sum-gravity method" Advancement of Fuzzy Thory and Systems in China and Japan, Eds. Liu and Mizumoto, International Academic Publishers, cl.l.-c.l.4. 1990
21. P.Baranyi, A.Martinovics, D.Tikk, Y.Yam and LT.Koczy, "Fuzzy Rule Base Reduction for Arbitrary Inference Algorithm Using Singular Value Decomposition", 5* Int. Conf on Soft Computing and Information I Intelligent Systems, (IIZUKA'98), lizuka, Fukuoka, Japan, 1998, pp 487-490.
22. L.Wang, R. langari, and J.Yen "Principal components, B-splines, and fuzzy systems reduction" in Fuzzy Logic for the applications to Complex systems, W. Chiang and J. Lee, Eds. Singapure: World Scientific, 19%, pp. 255-259.
23. Sz.Kovacs, J.Cselinyi, L.Pap, I.Ajtonyi, and L.T.Koczy, "Path Tracking Strategy of Differential Steered AGVs Implemented on Approximate Fuzzy Logic Controller", Proc. of the 5* European Congress on Intelligent Techniques and Soft Computing (EUFIT'97), Aachen, Germany, 1997, pp.1438-1442.
24. Sz.Kovacs and L.T.Koczy, "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", Proc. of the International Conference, 5* Fuzzy Days, Dortmund, Computational Intelligence -Theory and Applications, Lecture Notes in Computer Science, 1226, Springer, Germany, 1997, pp.456-467.
25. IJ. Rudas, O.Kaynak: New Types of Generalized Operations. Computational Intelligence: Soft Computing and Fuzzy-Neuro Integration with Applications. Springer NATO ASI Series. Series F: Computer and Systems Sciences, Vol. 192. 1998. (0. Kaynak, L. A. Zadeh, B. Turksen, I. J. Rudas editors), pp. 128-156.
26. IJ. Rudas, M.O. Kaynak: Entropy-Based Operations on Fuzzy Sets. IEEE Transactions on Fuzzy Systems, vol.6, no. 1, February 1998. pp. 33-40.
27. IJ. Rudas, M.O. Kaynak: Minimum and maximum fuzziness generalized operators Fuzzy Sets and Systems 98 (1998) 83-94.