【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.更多还原

【Abstract】 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-representation theorem of the both-branch fuzzy set are analyzed,and its operational property is discussed.The results indicate that the intersection-representation theorem of the both-branch fuzzy set is the general form of the intersection-representation theorem of the Zadeh fuzzy set,and the intersection-representation theorem of the Zadeh fuzzy set is the special form of the intersection-representation theorem of the both-branch fuzzy set.更多还原