期刊
INFORMATION SCIENCES
卷 283, 期 -, 页码 55-69出版社
ELSEVIER SCIENCE INC
DOI: 10.1016/j.ins.2014.06.012
关键词
Interval-valued intuitionistic fuzzy set; Entropy measure; Distance; Similarity; Inclusion measure
资金
- National Social Science Fund of China [13CGL130]
- Guangdong Province Natural Science Foundation of China [S2013010013050, S2012040007184, S2012010010570]
- National Statistical Science Research Planning Project of China [2012LY159]
- National Natural Science Foundation of China [71303093, 61273118, 61202271, 61263014]
- Guangdong Province Philosophy and Social Sciences Planning Project [GD13CGL13]
- Scientific and Technological Innovation Project of Guangdong Province Colleges Subject Construction Special Fund [2013KJCX0069]
- Humanities and Social Sciences Research Youth Foundation of Ministry of Education of China [12YJCZH281, 13YJC630145, 13YJCZH258]
A new axiomatical definition of entropy measure for interval-valued intuitionistic fuzzy set based on distance is firstly proposed, which is consistent with the axiomatical definition of fuzzy entropy introduced by De Luca and Termini. Then, we present some new entropy measures for interval-valued intuitionistic fuzzy sets (IvIFSs) and discuss their relationships with similarity measures and inclusion measures for IvIFSs. Also, we prove that the presented entropy measures, the similarity measures and the inclusion measures of IvIFSs can be transformed into each other by their axiomatical definitions. Finally, several numerical examples are given to demonstrate that the proposed new entropy measures for IvIFSs are more intelligible in representing the degree of fuzziness of IvIFSs than the existing ones. (C) 2014 Elsevier Inc. All rights reserved.
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