模糊关系方程supi∈■T(a_i,x_i)=b的解  

Solutions of Fuzzy Relational Equations with sup-T Composition

作　　者：张迪 王学平[1] 

机构地区：[1]四川师范大学数学与软件科学学院,四川成都610066

出　　处：《模糊系统与数学》2018年第1期125-129,共5页Fuzzy Systems and Mathematics

基　　金：国家自然科学基金资助项目(11171242)

摘　　要：本文讨论[0,1]上sup-T合成模糊关系方程的解。这里,T为阿基米德t-模。首先给出方程解集非空的充分必要条件以及方程有极小解的条件,证明方程解集不空时每个解有极小解,然后描述方程的解集。This paper deals with the solution of a fuzzy relational equation with sup-T composition on [0,1] where T is Archimedean. It first gives a sufficient and necessary condition that the solution set is nonempty, and a condition that there exists a minimal element in the solution set. Then it proves that every solution has a minimal one when the solution set is nonempty. Finally, this paper describes the solution set.

关 键 词：模糊关系方程 阿基米德t-模 加法生成子 极小解 解集 

分 类 号：O159[理学—数学]