Abstract

In this paper, we focus on studying picture fuzzy reasoning full implication methods. First, picture associated t-norm and its residuated implication operator are given. Then, picture fuzzy reasoning full implication principles and the solutions of picture fuzzy reasoning full implication methods based on picture associated t-norm are given. Moreover, the reducibility and robustness of picture fuzzy reasoning full implication methods based on picture associated t-norm are proved. Finally, pattern recognition problems can be successfully solved by the proposed method.

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