J. Vicente Riera

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— This paper proposes to study the lattice properties of two closed binary operations in the set of discrete fuzzy numbers. Using these operations to represent the meet and the join, we prove that the set of discrete fuzzy numbers whose support is a set of consecutive natural numbers is a distributive lattice. Finally, we demonstrate that the subsets of(More)
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 A L 1) is given. The resulting extension is in fact a fuzzy implication on A L 1 preserving some boundary properties. Moreover, if the(More)
Given a coimplication function J defined on the finite chain L n = {0, ..., n}, a method for extending J to the set of discrete fuzzy numbers whose support is an interval contained in L n (denoted by A Ln 1) is given. The resulting extension is in fact a fuzzy coimplication on A Ln 1 preserving many of the usual properties of coimplications. In particular,(More)