On the position of intuitionistic fuzzy set theory in the framework of theories modelling imprecision

被引：192

作者：

Deschrijver, Glad ^{[1
]}

Kerre, Etienne E. ^{[1
]}

机构：

[1] Univ Ghent, Dept Math & Comp Sci, B-9000 Ghent, Belgium

来源：

INFORMATION SCIENCES | 2007年 / 177卷 / 08期

关键词：

links between different models; fuzzy set; interval-valued fuzzy set; intuitionistic fuzzy set; L-fuzzy set; intuitionistic L-fuzzy set; interval-valued intuitionistic fuzzy set; probabilistic set; soft set; type 2 fuzzy set;

D O I：

10.1016/j.ins.2006.11.005

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

Intuitionistic fuzzy sets [K.T. Atanassov, Intuitionistic fuzzy sets, VII ITKR's Session, Sofia (deposed in Central Science-Technical Library of Bulgarian Academy of Science, 1697/84), 1983 (in Bulgarian)] are an extension of fuzzy set theory in which not only a membership degree is given, but also a non-membership degree, which is more or less independent. Considering the increasing interest in intuitionistic fuzzy sets, it is useful to determine the position of intuitionistic fuzzy set theory in the framework of the different theories modelling imprecision. In this paper we discuss the mathematical relationship between intuitionistic fuzzy sets and other models of imprecision. (C) 2006 Elsevier Inc. All rights reserved.

引用

页码：1860 / 1866

页数：7

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