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Comparison of fuzzy reasoning methods

✍ Scribed by Masaharu Mizumoto; Hans-Jürgen Zimmermann

Publisher
Elsevier Science
Year
1982
Tongue
English
Weight
910 KB
Volume
8
Category
Article
ISSN
0165-0114

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✦ Synopsis

proposed methods for fuzzy reasoning in which the antecedent involves a fuzzy conditional proposition 'If x is A then y is B,' with A and B being fuzzy concepts. Mizumoto et al. have investigated the properties of their methods in the case of 'generalized modus ponens'.

This paper deals with the properties of their methods in the case of 'generalized modus tollens', and investigates the other new fuzzy reasoning methods obtained by introducing the implication rules of many valued logic s)~tems. Finally, the properties of syllogism and contrapositive are investigated under each fuzzy reasoning method.

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