摘要
在“Ｆｕｚｙ集合与集合套的Ｔ模交与Ｓ模并”（《四川师范大学学报》（自然科学版），１９９８，２１（１）：２７～３３）一文的基础上，继续讨论Ｆｕｚｚｙ集与集合套的对偶模系结构．引入了集合套的水平属于关系，水平重于（非重）关系，Ｆｕｚｙ属于关系与Ｆｕｚｚｙ非重关系等概念．
In the paper, the dual norm system’s structures of the fuzzy set and the set's nest are discussed systementically besed on the paper “The T norm intersetion and the S norm union of fuzzy sets and of set’s nests”(J Sichuan Normal University (Natural Science),1998,21(1):27～33). The concepts of level belong relations, level quasi coincidence relations, the fuzzy belong relation, the fuzzy quasi coincidence relation, and the fuzzy non quasi coincidence relation are introduced. Further expression theorems of the fuzzy set are obtained under the more extensive frame with the dual norm system’s structure.
出处
《四川师范大学学报（自然科学版）》
CAS
CSCD
1999年第4期365-371,共7页
Journal of Sichuan Normal University（Natural Science）
关键词
逆合对应
模糊集
从属函数
模系结构
表现定理
Order reversing involution
Dual norm system
Fuzzy set
Set’s nest
Set embedding
Membership function
Expression theorem
