完备Brouwerian格上@-Fuzzy关系方程极大解的性质

摘要

在完备Brouwerian格上讨论了@-Fuzzy(其中@表示 inf-α合成)关系方程的极大解，当 Fuzzy关系方程的解集非空时，首先讨论了方程极大解的一些性质，然后得到了方程存在极大解的一个充要条件。%The maximal solution for @ Fuzzy relational equation in infinite domainls and on complete Brouwerian lattices is discussed.When the solution set is non-empty,some properties of the maximal solution set for @ Fuzzy relational equation are discussed,and a sufficient and necessary condition for the existence of maximal solutions is given.