Fuzzy interpolative reasoning for sparse fuzzy rule-based systems based on interval type-2 fuzzy sets

Expert Systems with Applications

Volumn 38, Issue 8, 2011, Pages 9947-9957

  Chen, Shyi Ming ^a   Lee, Li Wei ^a  

^a NATIONAL TAIWAN UNIVERSITY OF SCIENCE AND TECHNOLOGY   (Taiwan)

Author keywords

Fuzzy interpolative reasoning; Interval type 2 fuzzy sets; Ranking values; Sparse fuzzy rule based systems

Indexed keywords

FUZZY INTERPOLATIVE REASONING; FUZZY RULE INTERPOLATION; FUZZY RULE-BASED SYSTEMS; INTERVAL TYPE-2 FUZZY SETS; LOWER MEMBERSHIP FUNCTIONS; RANKING VALUES; RESEARCH TOPICS; SPARSE FUZZY RULE-BASED SYSTEMS;

FUZZY SETS; MEMBERSHIP FUNCTIONS;

FUZZY RULES;

EID: 79953691093     PISSN: 09574174     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.eswa.2011.02.035     Document Type: Article

References (28)

1. Baranyi, P.; Gedeon, T. D.; & Koczy, L. T. (1996). A general interpolation technique in fuzzy rule bases with arbitrary membership functions. In Proceedings of the 1996 IEEE international conference on systems, man, and cybernetics (pp. 510-515).
2. P. Baranyi, L.T. Koczy, and T.D. Gedeon A generalized concept for fuzzy rule interpolative IEEE Transactions on Fuzzy Systems 12 6 2004 820 837 (Pubitemid 40009385)
3. Baranyi, P.; Tikk, D.; Yam, Y.; & Koczy, L. T. (1999). A new method for avoiding abnormal conclusion for α-cut based rule interpolation. In Proceedings of the 1999 IEEE international conference on fuzzy systems (pp. 383-388).
4. Bouchon-Meunier, B.; Marslla, C.; & Rifqi, M. (2000). Interpolative reasoning based on graduality. In Proceedings of the 2000 IEEE international conference on fuzzy systems (pp. 483-487).
5. Chang, Y. C.; & Chen, S. M. (2008). A new method for multiple fuzzy rules interpolation with weighted antecedent variables. In Proceedings of the 2008 international conference on systems, man, and cybernetics (pp. 76-81). Singapore.
6. Chang, Y. C.; & Chen, S. M. (2009). Temperature prediction based on fuzzy clustering and fuzzy rules interpolation techniques. In Proceedings of the 2009 international conference on systems, man, and cybernetics (pp. 3544-3549). San Antonio, Texas, USA.
7. Y.C. Chang, S.M. Chen, and C.J. Liau Fuzzy interpolative reasoning for sparse fuzzy rule-based systems based on the areas of fuzzy sets IEEE Transactions on Fuzzy Systems 16 5 2008 1285 1301
8. S.M. Chen, and Y.K. Ko Fuzzy interpolative reasoning for sparse fuzzy-rule-based systems based on cutting and transformation techniques IEEE Transactions on Fuzzy Systems 16 6 2008 1626 1648
9. S.M. Chen, and L.W. Lee Fuzzy multiple attributes group decision-making based on the ranking values and the arithmetic operations of interval type-2 fuzzy sets Expert Systems with Applications 37 1 2010 824 833
10. W.H. Hsiao, S.M. Chen, and C.H. Lee A new interpolation reasoning method in sparse rule-based systems Fuzzy Sets and Systems 93 1 1998 17 22
11. Z.H. Huang, and Q. Shen Fuzzy interpolative reasoning via scale and move transformations IEEE Transactions on Fuzzy Systems 14 2 2006 340 359
12. L.T. Koczy, and K. Hirota Interpolative reasoning with insufficient evidence in sparse fuzzy rule bases Information Sciences 71 1 1993 169 201
13. L.T. Koczy, and K. Hirota Approximate reasoning by linear rule interpolation and general approximation International Journal of Approximate Reasoning 9 3 1993 197 225
14. L.T. Koczy, and K. Hirota Size reduction by interpolation in fuzzy rule bases IEEE Transactions on Systems, Man, and Cybernetics 27 1 1997 14 25 (Pubitemid 127770631)
15. Lee, L. W.; & Chen, S. M. (2006a). A new method for ranking fuzzy numbers based on the shapes and the deviations of fuzzy numbers. In Proceedings of the 2nd international conference on national computation and the third international conference on fuzzy systems and knowledge discovery (pp. 269-280). Xi'an, China.
16. Lee, L. W.; & Chen, S. M. (2006b). Fuzzy extrapolative reasoning based on the ranking values of fuzzy sets. In Proceedings of the 11th conference on artificial intelligence and applications (pp. 152-158). Kaohsiung, Taiwan, Republic of China.
17. Lee, L. W.; & Chen, S. M. (2008). Fuzzy interpolative reasoning using interval type-2 fuzzy sets. In Proceedings of the twenty first international conference on industrial, engineering & other applications of applied intelligent systems (pp. 92-101). Wroclaw, Poland.
18. Li, Y. M.; Huang, D. M.; Tsang, E. C.; & Zhang, L. N. (2005). Weighted fuzzy interpolative reasoning method. In Proceedings of the fourth international conference on machine learning and cybernetics (pp. 3104-3108). (Pubitemid 41734453)
19. W.Y. Liu, K. Yue, J.Y. Su, and Y. Yao Probabilistic representation and approximate inference of type-2 fuzzy events in Bayesian networks with interval probability parameters Expert Systems with Applications 36 4 2009 8076 8083
20. J.M. Mendel, R.I. John, and F.L. Liu Interval type-2 fuzzy logical systems made simple IEEE Transactions on Fuzzy Systems 14 6 2006 808 821 (Pubitemid 46432460)
21. W.Z. Qiao, M. Mizumoto, and S.Y. Yan An improvement to Koczy and Hirota's interpolative reasoning in sparse fuzzy rule bases International Journal of Approximate Reasoning 15 3 1996 185 201 (Pubitemid 126364764)
22. Shi, Y.; & Mizumoto, M. (1995). Some considerations on Koczy's interpolative reasoning method. In Proceedings of the 1995 IEEE international conference on fuzzy systems (pp. 2117-2122).
23. Y. Shi, M. Mizumoto, and W.Z. Qiao Reasoning conditions on Koczy's interpolative reasoning method in sparse fuzzy rule bases Fuzzy Sets and Systems 75 1 1995 63 71
24. D. Tikk, and P. Baranyi Comprehensive analysis of a new fuzzy rule interpolation method IEEE Transactions on Fuzzy Systems 8 3 2000 281 296
25. Vass, G.; Kalmar, L.; & Koczy, L. T. (1992). Extension of the fuzzy rule interpolation method. In Proceedings of the international conference on fuzzy sets theory applications (pp. 1-6).
26. K.W. Wong, D. Tikk, and T.D. Gedeon Fuzzy rule interpolation for multidimensional input spaces with applications: A case study IEEE Transactions on Fuzzy Systems 13 6 2005 809 819 (Pubitemid 43065964)
27. Y. Yam, M.L. Wong, and P. Baranyi Interpolation with function space representation of membership functions IEEE Transactions on Fuzzy Systems 14 3 2006 398 411 (Pubitemid 43898882)
28. L.A. Zadeh Fuzzy sets Information and Control 8 1965 338 353