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关于完备格上的T-型矩阵方程

On the T-type Matrix Equations on a Complete Lattice
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摘要 利用完备格L上的无限分配t-模T,研究了T-型矩阵方程A TX TB=C的解,得到该方程有解的一个等价条件。同时,在有解时给出求该方程整个解集的一个算法。 In this paper, using an infinitely distributive t-torm T on a complete lattice L, we study the solutions of the T-type matrix equation A · TX ·TB=C and obtain a necessary and sufficient condition for the solvability of this equation. For the solvable case, we present an algorithm of the entire solution set for this equation.
出处 《模糊系统与数学》 CSCD 北大核心 2006年第4期54-60,共7页 Fuzzy Systems and Mathematics
基金 福建省自然科学基金资助项目(Z0511012)
关键词 完备格 T-型矩阵方程 解集 算法 Complete Lattice T-type Mmatrix Equationl Solution Set Algorithm
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