Influence of the fuzzy implication operator on the method-of-cases inference rule
作者： Ruan Da , E.E. Kerre , G. De Cooman , B. Cappelle , F. Vanmassenhove
DOI: 10.1016/0888-613X(90)90004-L
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摘要: Abstract This paper is a natural continuation of Mizumoto's work on the influence choice fuzzy implication operator validity modus ponens, tollens, and syllogism. We present detailed investigation fuzzified version well-known method-of-cases under 17 different forms operator. The inference based generalized Zadeh's compositional rule inference, using cylindrical extension projection relations. It pointed out that only nine satisfy method-of-cases.
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sci-hub.se 参考文章(12)
L.A. Zadeh, Calculus of fuzzy restrictions Fuzzy sets, fuzzy logic, and fuzzy systems. pp. 210- 237 ,(1996) , 10.1016/B978-0-12-775260-0.50006-2
Masaharu Mizumoto, Satoru Fukami, Kokichi Tanaka, Several methods for fuzzy conditional inferences conference on decision and control. ,vol. 18, pp. 777- 782 ,(1979) , 10.1109/CDC.1979.270043
Wu Wangming, Fuzzy reasoning and fuzzy relational equations Fuzzy Sets and Systems. ,vol. 20, pp. 67- 78 ,(1986) , 10.1016/S0165-0114(86)80032-X
Masaharu Mizumoto, Hans-Jürgen Zimmermann, Comparison of fuzzy reasoning methods Fuzzy Sets and Systems. ,vol. 8, pp. 253- 283 ,(1982) , 10.1016/S0165-0114(82)80004-3
Wyllis Bandler, Ladislav Kohout, FUZZY POWER SETS AND FUZZY IMPLICATION OPERATORS Fuzzy Sets and Systems. ,vol. 4, pp. 13- 30 ,(1980) , 10.1016/0165-0114(80)90060-3
Lotfi A. Zadeh, Outline of a New Approach to the Analysis of Complex Systems and Decision Processes IEEE Transactions on Systems, Man, and Cybernetics. ,vol. SMC-3, pp. 28- 44 ,(1973) , 10.1109/TSMC.1973.5408575
Satoru Fukami, Masaharu Mizumoto, Kokichi Tanaka, Some considerations on fuzzy conditional inference Fuzzy Sets and Systems. ,vol. 4, pp. 243- 273 ,(1980) , 10.1016/0165-0114(80)90014-7
Richard Willmott, Two fuzzier implication operators in the theory of fuzzy power sets Fuzzy Sets and Systems. ,vol. 4, pp. 31- 36 ,(1980) , 10.1016/0165-0114(80)90061-5
Wyllis Bandler, Ladislav J. Kohout, Semantics of implication operators and fuzzy relational products International Journal of Man-Machine Studies. ,vol. 12, pp. 89- 116 ,(1980) , 10.1016/S0020-7373(80)80055-1
Roger Martin-Clouaire, Semantics and computation of the generalized modus ponens: the long paper International Journal of Approximate Reasoning. ,vol. 3, pp. 195- 217 ,(1989) , 10.1016/0888-613X(89)90006-6