摘要
对［０，１］上一般的算子‘＊’引入＊－紧Ｆｕｚｚｙ关系及其○＊－可分解Ｆｕｚｙ关系的概念，证明了有单位元１的保序算子‘＊’及有单位元０的保序算子‘＊－’所定义的○＊－可分解和○＊－－可分解Ｆｕｚｚｙ关系在某种意义上构成了新的可传递Ｆｕｚｚｙ关系类，并且还给出了这些类在不同类型的传递性之间的一种位置关系，特别地，对二元○∨－可分解Ｆｕｚｚｙ关系，该文还得到了一个关于其传递性的完全刻画．
Let ‘*’ be a binary operation on the unit interval,i.e. *:×→. In this paper, the author introduces the concepts of * compact Fuzzy relations and decomposable Fuzzy relations, proves that decomposable and decomposable Fuzzy relations defined by order preserving operators with unit elements 1 and 0, respectively, form new classes of Fuzzy relations being transitive in a certain sense, and gives the place of these classes in the hierarchy of different types of transitivity as well. Especially, for binary decomposable Fuzzy relations, a complete depiction on their transitivity is obtained.
出处
《高校应用数学学报（A辑）》
CSCD
北大核心
1998年第2期223-226,共4页
Applied Mathematics A Journal of Chinese Universities(Ser.A)
