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

共 50 条

[41] Similarity measures between intuitionistic fuzzy (vague) sets: A comparative analysis
Li, Yanhong
Olson, David L.
Qin, Zheng
PATTERN RECOGNITION LETTERS, 2007, 28 (02) : 278 - 285
[42] New similarity measures between intuitionistic fuzzy sets and between elements
Liu, HW
MATHEMATICAL AND COMPUTER MODELLING, 2005, 42 (1-2) : 61 - 70
[43] A New Similarity Measures of Intuitionistic Fuzzy Sets and Application to Pattern Recognitions
Gong, Yanbing
ADVANCED RESEARCH ON INFORMATION SCIENCE, AUTOMATION AND MATERIAL SYSTEM, PTS 1-6, 2011, 219-220 : 160 - 164
[44] Dynamic Similarity Measures between Intuitionistic Fuzzy Sets and Its Application
Tan, Chunqiao
Chen, Xiaohong
INTERNATIONAL JOURNAL OF FUZZY SYSTEMS, 2014, 16 (04) : 511 - 519
[45] Some information measures for interval-valued intuitionistic fuzzy sets
Zhang, Qian-sheng
Jiang, Shengyi
Jia, Baoguo
Luo, Shihua
INFORMATION SCIENCES, 2010, 180 (24) : 5130 - 5145
[46] Segmentation of farmland obstacle images based on intuitionistic fuzzy divergence
Liu, Qiong
Yang, Fuzeng
Pu, Yingjun
Zhang, Mengyun
Pan, Guanting
JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2016, 31 (01) : 163 - 172
[47] ENTROPY FOR INTUITIONISTIC FUZZY SETS BASED ON DISTANCE AND INTUITIONISTIC INDEX
Zhang, Huimin
INTERNATIONAL JOURNAL OF UNCERTAINTY FUZZINESS AND KNOWLEDGE-BASED SYSTEMS, 2013, 21 (01) : 139 - 155
[48] Divergence-based cross entropy and uncertainty measures of Atanassov's intuitionistic fuzzy sets with their application in decision making
Song, Yafei
Fu, Qiang
Wang, Yi-Fei
Wang, Xiaodan
APPLIED SOFT COMPUTING, 2019, 84
[49] A Divergence-Based Distance Measure for Intuitionistic Fuzzy Sets and Its Application in the Decision-Making of Innovation Management
Ju, Fei
Yuan, Yongzhi
Yuan, Ye
Quan, Wen
IEEE ACCESS, 2020, 8 : 1105 - 1117
[50] Biparametric Information Measures-Based TODIM Technique for Interval-Valued Intuitionistic Fuzzy Environment
Mishra, Arunodaya Raj
Rani, Pratibha
ARABIAN JOURNAL FOR SCIENCE AND ENGINEERING, 2018, 43 (06) : 3291 - 3309

← 1 2 3 4 5 →