Reverse triple I method of fuzzy reasoning for the implication operator RL

Authors:
Zhihong Zhao;Yongjin Li
Affiliations:
Institute of Logic and Cognition, Sun Yat-sen University, Guangzhou 510275, PR China and Basic Course of Department, Zhuhai Campus, Beijing Institute of Technology, Zhuhai 519085, PR China and Dep ...;Institute of Logic and Cognition, Sun Yat-sen University, Guangzhou 510275, PR China and Basic Course of Department, Zhuhai Campus, Beijing Institute of Technology, Zhuhai 519085, PR China and Dep ...
Venue:
Computers & Mathematics with Applications
Year:
2007

Citing 2
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Abstract

First, the reverse triple I method with Lukasiewicz's implication operator is studied. The formulas of supremum for Fuzzy Modus Ponens (FMP) and infimum for Fuzzy Modus Tollens (FMT) of inverse triple I method are obtained respectively. Second, the reductivity of reverse triple I method is considered. Lastly, the theory of sustention degree is discussed and its properties are analysed. The generalized problem of reverse triple I method is solved and the corresponding formulas of @a-reverse triple I method with sustention degree are also given.