一些bl -代数中模糊关系方程的求解算法和软件

K. Peeva, D. Petrov
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引用次数: 2

摘要

研究了红外成分下的模糊线性方程组。提出了求解逆问题的代数-逻辑方法和程序。给出了求解Godel代数、product (Goguen)代数和Lukasiewicz代数中的模糊线性方程组的算法:当系统一致时,计算其完全解集。在不一致的情况下,得到了最小解不能满足的方程。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Algorithm and software for solving fuzzy relational equations in some BL-algebras
We study fuzzy linear systems of equations when the composition is infrarr. Algebraic-logical approach and procedures for inverse problem resolution are proposed. They provide algorithm for solving fuzzy linear system of equations in Godel algebra, product (Goguen) algebra and Lukasiewicz algebra: when the system is consistent, its complete solution set is calculated. In case of inconsistency, the equations that can not be satisfied by the minimal solution are obtained.
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