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The quintuple implication inference methods for fuzzy reasoning characterizes the solution B⁎(A⁎) for the fuzzy modus ponens (fuzzy modus tollens) as the formula that is best supported by A→B, A⁎→A and A⁎(A→B,B→B⁎ and B⁎). In this study, we provide a predicate formal representation of the solution for the quintuple implication inference methods based on the many-sorted first-order formal system Monoidal...
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