文献类型：期刊文献

英文题名：Some new entropy measures for interval-valued intuitionistic fuzzy sets based on distances and their relationships with similarity and inclusion measures

作者：Zhang, Qiansheng[1,2];Xing, Hongyan[3];Liu, Fuchun[4];Ye, Jun[5];Tang, Pan[6]

机构：[1]Guangdong Univ Foreign Studies, Sch Informat, Guangzhou 510420, Guangdong, Peoples R China;[2]Social Sci Key Lab Language Engn & Comp Guangdong, Guangzhou 510420, Guangdong, Peoples R China;[3]Guangdong Univ Technol, Fac Appl Math, Guangzhou 510006, Guangdong, Peoples R China;[4]Guangdong Univ Technol, Fac Comp, Guangzhou 510006, Guangdong, Peoples R China;[5]Shaoxing Univ, Dept Elect & Informat Engn, Shaoxing 312000, Peoples R China;[6]Jinan Univ, Fac Emergency Management, Guangzhou 510632, Guangdong, Peoples R China

年份：2014

卷号：283

起止页码：55

外文期刊名：INFORMATION SCIENCES

收录：SCI-EXPANDED(收录号：WOS:000341548200004)、、EI(收录号：20143418093059)、Scopus(收录号：2-s2.0-84906076738)、WOS

基金：We are indebted to Editor-in-Chief for his invaluable suggestions. This work is supported by the National Social Science Fund of China (13CGL130), the Guangdong Province Natural Science Foundation of China (S2013010013050, S2012040007184, S2012010010570), the National Statistical Science Research Planning Project of China (2012LY159), the National Natural Science Foundation of China (71303093, 61273118, 61202271, 61263014), the Guangdong Province Philosophy and Social Sciences Planning Project (GD13CGL13), the Scientific and Technological Innovation Project of Guangdong Province Colleges Subject Construction Special Fund (2013KJCX0069), and the Humanities and Social Sciences Research Youth Foundation of Ministry of Education of China (12YJCZH281, 13YJC630145, 13YJCZH258).

语种：英文

外文关键词：Interval-valued intuitionistic fuzzy set; Entropy measure; Distance; Similarity; Inclusion measure

外文摘要：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.