Ordering of convex fuzzy sets - A brief survey and new results

被引：0
|
作者：
Kurano, M
Yasuda, M
Nakagami, J
Yoshida, Y
机构：
[1] Chiba Univ, Fac Educ, Dept Math, Inage Ku, Chiba 2638522, Japan
[2] Kitakyushu Univ, Kitakyushu, Fukuoka, Japan
来源：
JOURNAL OF THE OPERATIONS RESEARCH SOCIETY OF JAPAN | 2000年 / 43卷 / 01期
关键词：
D O I：
10.15807/jorsj.43.138
中图分类号：
C93 [管理学]; O22 [运筹学];
学科分类号：
070105 ; 12 ; 1201 ; 1202 ; 120202 ;
摘要：
Concerning with the topics of a fuzzy max order, a brief survey on ordering of fuzzy numbers is presented in this article, and we will consider an extension to that of fuzzy sets. An extension of the fuzzy max order as a pseudo order is investigated and defined on a class of fuzzy sets on R-n (n greater than or equal to 1). This order is developed by using a non-empty closed convex cone and characterized by the projection into its dual cone. Especially a structure of the lattice can be illustrated with the class of rectangle-type fuzzy sets.
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页码：138 / 148
页数：11
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