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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.

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Authors and Affiliations

  1. Department of Automation, Tsinghua University, 100084, Beijing, China

    Song Shiji & Wu Cheng

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  1. Song Shiji
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  2. Wu Cheng
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Correspondence to Song Shiji.

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Song, S., Wu, C. Reverse triple I method of fuzzy reasoning. Sci China Ser F 45, 344–364 (2002). https://doi.org/10.1007/BF02714092

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  • DOI: https://doi.org/10.1007/BF02714092

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