Resolution of finite fuzzy relation equations based on strong pseudo-t-norms?，成果详细信息-中国科技论文在线

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Resolution of finite fuzzy relation equations based on strong pseudo-t-norms?

李洪兴， Song-Chol Hana ， b ， Hong-Xing Lia ， ? ， Jia-Yin Wanga

Applied Mathematics Letters 19(2006)752-757，-0001，（）：

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摘要/描述

This work studies the problem of solving a sup-T composite finite fuzzy relation equation, where T is an infinitely distributive strong pseudo-t-norm. A criterion for the equation to have a solution is given. It is proved that if the equation is solvable then its solution set is determined by the greatest solution and a finite number of minimal solutions. A necessary and sufficient condition for the equation to have a unique solution is obtained. Also an algorithm for finding the solution set of the equation is presented.

关键词: Fuzzy relation equation ， Strong pseudo-t-norm ， Infinitely distributive strong pseudo-t-norm

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