Approximate solutions of systems of fuzzy relation equations

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Title: Approximate solutions of systems of fuzzy relation equations
Author: Klir, George; Yuan, Bo
Abstract: In this paper, we generalize our previous results regarding approximate solutions of fuzzy relation equations to systems of fuzzy relation equations. By employing the equality index proposed by Gottwald, we introduce a goodness measure of the performance of approximate solutions and derive a lower bound and an upper bound of solvability of s stems of fuzzy relation equations. We also show that our results generalize those presented for one-dimensional fuzzy relation equations in [2].
Description: ©1994 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE.
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Date: 1994

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