On the Use of Divergences for Defining Entropies for Atanassov Intuitionistic Fuzzy Sets

被引：2
作者：
Montes, Ignacio [1 ]
Montes, Susana [1 ]
Pal, Nikhil [2 ]
机构：
[1] Univ Oviedo, Dept Stat & OR, Oviedo, Spain
[2] Indian Stat Inst, Elect & Commun Sci Unit, Kolkata, India
来源：
ADVANCES IN FUZZY LOGIC AND TECHNOLOGY 2017, VOL 2 | 2018年 / 642卷
关键词：
Atanassov Intuitionistic Fuzzy Sets; Divergence measures; Entropies; SIMILARITY MEASURES; VAGUE SETS; DECISION-MAKING; KNOWLEDGE; DISTANCES; ELEMENTS;
D O I：
10.1007/978-3-319-66824-6_49
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
In the literature we find two different approaches to define entropies of AIFSs. On the one hand, Szmidt and Kacprzyk's entropy measures how far is an AIFS from a crisp set; on the other hand, Burrillo and Bustince's approach measures how far is an AIFS from a fuzzy set. In this work we use divergence measures to define both types of entropies. We also show the conditions that we must impose on the divergence to define entropy measures of AIFSs and use our results to build several examples.
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页码：554 / 565
页数：12
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