Journal
INFORMATION SCIENCES
Volume 188, Issue -, Pages 314-321Publisher
ELSEVIER SCIENCE INC
DOI: 10.1016/j.ins.2011.11.021
Keywords
Intuitionistic fuzzy set; Fuzzy set; Similarity measure; Entropy; Uncertainty measure
Categories
Funding
- National 973 Fundamental Research Project of China [2002CB312200, 2009CB320602]
- National Natural Science Foundation of China [10971243, 90818025, 60774049, 60834004]
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In this paper, we introduce an axiomatic definition of the similarity measure of intuitionistic fuzzy sets (IFS) that differs from the definition of Li [15]. The relationship between the similarity measure and the entropy of IFS is investigated in detail. Six theorems on how the similarity measure could be transformed into the entropy for IFS and vice versa are proposed based on their axiomatic definitions. Some formulas have been proposed to calculate the similarity measure and the entropy of IFS. Finally, sufficient conditions to transform the similarity measures to the entropy for IFS and vice versa are given. (C) 2011 Elsevier Inc. All rights reserved.
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