双枝模糊集并-表现定理  

Union-representation theorem of both-branch fuzzy set

作　　者：刘纪芹[1] 

机构地区：[1]山东大学数学与系统科学学院

出　　处：《山东大学学报（理学版）》2006年第2期7-13,共7页Journal of Shandong University(Natural Science)

摘　　要：建立了双枝模糊集并-表现定理,讨论了双枝模糊集的运算性质.结果表明:双枝模糊集表现定理是单枝模糊集表现定理的一般形式,单枝模糊集表现定理是双枝模糊集表现定理的特例.The union-representation theorem of both-branch fuzzy set is given, and some operational properties of both-branch fuzzy set are discussed. The results indicate that the union-representation theorem of both-branch fuzzy set is the general form of representation theorem of Zadeh fuzzy set, and the representation theorem of Zadeh fuzzy set is the special form of union-represenration theorem of both-branch fuzzy set.

关 键 词：模糊集合 集合套 双枝模糊集 双枝模糊集并-表现定理 

分 类 号：O159[理学—数学]