模糊关系的运算与其传递闭包算子  

A Multiplication of Fuzzy Relations and a Transitive Closure Operator of Fuzzy Relation

作　　者：王志龙[1] 连玉平[2] 张国万[1] 

机构地区：[1]兰州工业高等专科学校基础学科部,甘肃兰州730050 [2]定西师范高等专科学校数学系,甘肃定西743000

出　　处：《兰州工业高等专科学校学报》2006年第2期50-54,共5页Journal of Lanzhou Higher Polytechnical College

基　　金：甘肃省自然科学基金(3ZS041-A25-004)

摘　　要：通过模糊关系的相关性质,探讨了模糊关系乘积运算的性质,得出模糊关系组成的集合空间的数学结构分别是幺半群、序半群及格;然后探讨了模糊等价关系、模糊关系传递闭包算子的相关性质及它们之间的关系.In this paper, the relative quality/characteristics of fuzzy binary relations is applied to study the quality of multiplication of fuzzy relations, by which the conclusion is arrived at that the structures of mathematics of space which consist of fuzzy binary relations are relatively monoid, ordered semigroup and lattice. And then the relative quality of fuzzy equivalence relations and that of transitive closure operator of fuzzy relation are studied and meanwhile their relations are also researched.

关 键 词：模糊关系的乘积运算 模糊等价关系 模糊关系的传递闭包算子 么半群 序半群 

分 类 号：O159[理学—数学]