Robustness analysis of full implication inference method |
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Authors: | Songsong Dai Daowu Pei Donghui Guo |
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Affiliation: | 1. Department of Electronic Engineering, Xiamen University, Xiamen 361005, PR China;2. Department of Mathematics, Zhejiang Sci-Tech University, Hangzhou 310018, PR China |
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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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