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Robustness analysis of full implication inference method
Authors:Songsong Dai  Daowu Pei  Donghui Guo
Affiliation:1. Department of Electronic Engineering, Xiamen University, Xiamen 361005, PR China;2. Department of Mathematics, Zhejiang Sci-Tech University, Hangzhou 310018, PR China
Abstract:This paper investigates the robustness of the full implication inference method and fully implicational restriction method for fuzzy reasoning based on two basic inference models: fuzzy modus ponens and fuzzy modus tollens. Some robustness results are proved based on general left continuous t-norms and induced residuated implications, and some important fuzzy implications.
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