双枝模糊集表现定理对偶形式  

The dual form of the representation theorem of the both-branch fuzzy set

作　　者：刘纪芹[1] 郝秀梅[1] 

机构地区：[1]山东财政学院统计与数理学院,山东济南250014

出　　处：《山东大学学报（理学版）》2007年第5期9-13,共5页Journal of Shandong University(Natural Science)

摘　　要：利用双枝模糊集的概念,提出了双枝模糊集表现定理的对偶形式,即交-表现定理.利用交-表现定理分析了双枝模糊集的运算性质,讨论了双枝模糊集并-表现定理与交-表现定理的关系.通过分析得到:双枝模糊集交-表现定理是单枝模糊集交-表现定理的一般形式,单枝模糊集交-表现定理是双枝模糊集交-表现定理的特例.Based on the concept of the both-branch fuzzy set, the intersection-representation theorem of the both-branch fuzzy set is put forward. Based on intersection-representation theorems, the relationships between the intersection-representation theorem and the union-reprcsentation theorem of the both-branch fuzzy set are analyzed, and its operational property is discussed, The resuits indicate that the intersection-reprcsentation theorem of the both-branch fuzzy set is the general form of the intersection-repre- sentation theorem of the Zadeh fuzzy set, and the intersection-reprcsentation theorem of the Zadeh fuzzy set is the special form of the intersection-representation theorem of the both-branch fuzzy set.

关 键 词：数并积 集合套 双枝模糊集 双枝模糊集交-表现定理 

分 类 号：O159[理学—数学]