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This paper proposes some new distance measures between interval-valued neutrosophic sets (IvNSs) and their similarity measures. Then, some entropy measures of IvNS based on the distances are proposed as the extension of the entropy measures of interval-valued intuitionistic fuzzy sets (IvIFSs). Also, we investigate the relationship between the presented entropy measures and the similarity measures...
In this paper, considered the information carried by the membership, the non-membership and the intuitionistic index in intuitionistic fuzzy sets (IFSs) as probability spaces, a modified cross-entropy measure between two IFSs is proposed to overcome the drawback of the intuitionistic fuzzy cross-entropy measure proposed by Vlachos and Sergiadis and the notion of symmetric discrimination information...
The concept of cross entropy for intuitionistic fuzzy sets, so-called intuitionistic fuzzy cross entropy, is introduced and applied to multicriteria fuzzy decision-making problems. A multicriteria fuzzy decision-making method based on the intuitionistic fuzzy cross-entropy between an alternative and the ideal alternative is established in order to rank the alternatives and select the most desirable...
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