A new dissimilarity measure between intuitionistic fuzzy sets and its application in multiple attribute decision making

被引:9
|
作者
Li, Junhong [1 ,2 ]
Zeng, Wenyi [1 ]
机构
[1] Beijing Normal Univ, Coll Informat Sci & Technol, Beijing 100875, Peoples R China
[2] Hebei Normal Univ, Coll Math & Informat Sci, Shijiazhuang, Hebei, Peoples R China
基金
中国国家自然科学基金;
关键词
Intuitionistic fuzzy set; distance; dissimilarity measure; fuzzy number; multiple attribute decision making; PREFERENCE RELATIONS; PATTERN-RECOGNITION; SIMILARITY MEASURES; OPERATORS; DISTANCES; NUMBERS; VALUES; SCORE;
D O I
10.3233/IFS-141440
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
In this paper, we propose a new dissimilarity measure between intuitionistic fuzzy sets (IFSs), which takes into account the membership degree, non-membership degree, degree difference between membership and non-membership functions of intuitionistic fuzzy sets, as well as the exponential dissimilarity measure to avoid information loss and prove that the proposed dissimilarity measure satisfies the properties of the axiomatic definition of dissimilarity measure. And we compare our proposed dissimilarity measure with some existing distances through some numerical examples which show that our proposed dissimilarity measure is more robust and efficient. Finally, we apply our proposed dissimilarity measure in multiple attribute decision making(MADM) and the conclusion shows our proposed dissimilarity measure is available.
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页码:1311 / 1320
页数:10
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