E算子与凸模糊集(Ⅰ)

重庆交通大学学报（自然科学版） ›› 1992, Vol. 11 ›› Issue (1): 36-44.

E算子与凸模糊集(Ⅰ)

陈国祯

基础部

收稿日期:1991-04-09 出版日期:1992-02-22 发布日期:2016-11-08
作者简介:陈国祯,男,55岁,副教授
基金资助:
国家自然科学基金

E-Operators and Convex Fuzzy Sets (Ⅰ)

Chen Guozhen

Department of Basic Courses

Received:1991-04-09 Online:1992-02-22 Published:2016-11-08

摘要/Abstract

摘要： 本文给出了E算子的定义并讨论了它的一些性质。给出了一类凸模糊集的表示定理。我们用E算子来刻划凸模糊集,从而给出了真值空间和Ⅱ型模糊集的新定义,得出了一些新性质。

关键词: E算子, 凸模糊集的表示定理, 真值空间, Ⅱ型模糊集

Abstract: In this paper,we introduced the concepts of E-Operators and discussed its properties.We investigate the representation theorems of convex fuzzy sets.We also given the new definition of truth-value space and the fuzzy sets of type 2 and discussed their new properties.

Key words: E-operator, representation theorems of convex fuzzy sets, truth-value space, fuzzy sets of type 2

陈国祯. E算子与凸模糊集(Ⅰ)[J]. 重庆交通大学学报（自然科学版）, 1992, 11(1): 36-44.

Chen Guozhen. E-Operators and Convex Fuzzy Sets (Ⅰ)[J]. Journal of Chongqing Jiaotong University(Natural Science), 1992, 11(1): 36-44.