Science in China Series F Information Sciences

, Volume 45, Issue 5, pp 344–364 | Cite as

Reverse triple I method of fuzzy reasoning

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Abstract

A theory of reverse triple I method with sustention degree is presented by using the implication operatorR 0 in every step of the fuzzy reasoning. Its computation formulas of supremum for fuzzy modus ponens and infimum for fuzzy modus tollens are given respectively. Moreover, through the generalization of this problem, the corresponding formulas of α-reverse triple I method with sustention degree are also obtained. In addition, the theory of reverse triple I method with restriction degree is proposed as well by using the operatorR 0, and the computation formulas of infimum for fuzzy modus ponens and supremum for fuzzy modus tollens are shown.

Keywords

fuzzy reasoning implication operatorR0 reverse triple I method with sustention degree reverse triple I method with restriction degree 
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Copyright information

© Science in China Press 2002

Authors and Affiliations

  1. 1.Department of AutomationTsinghua UniversityBeijingChina

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