Divergence Measures for Intuitionistic Fuzzy

被引：93

作者：

Montes, Ignacio ^{[1
]}

Pal, Nikhil R. ^{[3
]}

Janis, Vladimir ^{[2
]}

Montes, Susana ^{[1
]}

机构：

[1] Univ Oviedo, Dept Stat & Operat Res, Oviedo 33003, Spain

[2] Matej Bel Univ, Fac Nat Sci, Dept Math, Banska Bystrica 97401, Slovakia

[3] Indian Stat Inst, Elect & Commun Sci Unit, Kolkata 700108, W Bengal, India

来源：

IEEE TRANSACTIONS ON FUZZY SYSTEMS | 2015年 / 23卷 / 02期

关键词：

Dissimilarity measure; distance; divergence measure; intuitionistic fuzzy set (IFS); SIMILARITY MEASURES; VAGUE SETS; DEFINITION; DISTANCES;

D O I：

10.1109/TFUZZ.2014.2315654

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

Characterization of dissimilarity/divergence between intuitionistic fuzzy sets (IFSs) is important as it has applications in different areas including image segmentation and decision making. This study deals with the problem of comparison of intuitionistic fuzzy sets. An axiomatic definition of divergence measures for IFSs is presented, which are particular cases of dissimilarities between IFSs. The relationships among IF-divergences, IF-dissimilarities, and IF-distances are studied. Finally, we propose a very general framework for comparison of IFSs, where depending on the conditions imposed on a particular function, we can realize measures of distance, dissimilarity, and divergence for IFSs. Some methods for building divergence measures for IFSs are also introduced, as well as some examples of IF-divergences. In particular, we have proved some results that can be used to generate measures of divergence for fuzzy sets as well as for intuitionistic fuzzy sets.

引用

页码：444 / 456

页数：13

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