Robustness analysis of full implication inference method

  • Authors:

  • Songsong Dai;Daowu Pei;Donghui Guo

  • Affiliations:

  • Department of Electronic Engineering, Xiamen University, Xiamen 361005, PR China;Department of Mathematics, Zhejiang Sci-Tech University, Hangzhou 310018, PR China;Department of Electronic Engineering, Xiamen University, Xiamen 361005, PR China

  • Venue:
  • International Journal of Approximate Reasoning
  • Year:
  • 2013

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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.