Fuzzy implications defined on the set of discrete fuzzy numbers
نویسندگان
چکیده
Given an implication function I defined on the finite chain L = {0, ..., n}, a method for extending I to the set of discrete fuzzy numbers whose support is a set of consecutive natural numbers contained in L (denoted by A1 ) is given. The resulting extension is in fact a fuzzy implication on A1 preserving some boundary properties. Moreover, if the initial implication I is an S, QL or D-implication on L then its extension is also an S, QL or D-implication on A1 , respectively.
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