无限Fuzzy关系方程的解集  

The Solution Set of Fuzzy Relational Equation in Infinite Domains

作　　者：岳芹[1] 谭宜家[2] 

机构地区：[1]皖西学院数理系,安徽六安237012 [2]福州大学数学与计算机科学学院,福建福州350002

出　　处：《数学的实践与认识》2009年第24期203-206,共4页Mathematics in Practice and Theory

摘　　要：对(0,1)格上的无限Fuzzy关系方程,给出其可解的充要条件.利用可达解与不可达解的概念,给出方程存在可达解与不可达解的充要条件.进一步,在解集非空时,刻画了方程的解集的结构及性质.This paper deals with fuzzy relational equation in infinite domains. A necessary and sufficient condition for solvability of the equation is given. By the definitons of attainable solution and unattainable solution, a necessary and sufficient condition describing the attainable solution （resp. the unattainable solution） is given. Furthermore, when the solution set of the equation is not empty, the structure and propositons of the solution set is characterized.

关 键 词：无限Fuzzy关系方程 充要条件 极小解 解集 

分 类 号：O159[理学—数学]