Comparison of fuzzy partitions based on their α-cuts

被引：7

作者：

Bodjanova, S ^{[1
]}

机构：

[1] Texas A&M Univ, Dept Math, Kingsville, TX 78363 USA

来源：

FUZZY SETS AND SYSTEMS | 1999年 / 105卷 / 01期

关键词：

fuzzy partitions; alpha-cut; equivalence; partial order; aggregation;

D O I：

10.1016/S0165-0114(97)00240-6

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

This paper proposes a measure of degree of equivalence between two fuzzy partitions. A method which allows one to find values of alpha epsilon [0, 1] at which two or more partitions are considered to be equivalent is introduced. Partial order of fuzzy partitions with respect to their sharpness is discussed. A procedure for constructing a lower alpha-bound and an upper alpha-bound of a family of fuzzy partitions is suggested. This procedure can be used in aggregation of fuzzy partitions. (C) 1999 Elsevier Science B.V. All rights reserved.

引用

页码：99 / 112

页数：14