Robustness analysis of full implication inference method

National Science Foundation of China [10871229, 11171308, 61274133]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. (C) 2012 Elsevier Inc. All rights reserved