完备Brouwerian格上无限@-Fuzzy关系方程的极大解问题  

The Problem of Maximal Solutions of an Infinite @-Fuzzy Relational Equation on Complete Brouwerian Lattices

作　　者：李裕梅[1] 王平[2] 

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 [2]成都师范高等专科学校数学系,四川彭州611930

出　　处：《四川师范大学学报（自然科学版）》2003年第3期232-235,共4页Journal of Sichuan Normal University（Natural Science）

基　　金：四川省教育厅重点科研基金资助项目

摘　　要：在论域为无限集时讨论了完备Brouwerian格L上@ Fuzzy关系方程A@X=b(其中@表示inf α合成,A=(aij)I×J,I,J为无限指标集,b∈L),当b为完全交既约元时构造出了方程的极大解,当b有不可约完全交既分解时对方程的解集中的每一个解都找到了一个大于等于它的极大解.In this paper, an @Fuzzy relational equation A@X=b (where, @ is infα composite operator, A=(aij)I×J, I and J are infinite index sets, b∈L) is discussed in infinite domains and on a complete Brouwerian lattice L. When b is a complete meetirreducible element of L we construct maximal solutions for the @Fuzzy relational equation. Moreover, when b has irredundant complete meetirreducible decomposition, for each solution of this equation, we find a maximal solution of this equation which is larger than or equal to the solution.

关 键 词：完备BROUWERIAN格 无限＠-Fuzzy关系方程 极大解 

分 类 号：O159[理学—数学]