Picture fuzzy cross-entropy for multiple attribute decision making problems
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TLDR
TheCross entropy of picture fuzzy sets, called picture fuzzy cross entropy, is proposed as an extension of the cross entropy of fuzzy sets to solve the multiple attribute decision making problems with picture fuzzy information.Abstract:
In this paper, we investigate the multiple attribute decision making problems with picture fuzzy information. The advantage of picture fuzzy set is easily reflecting the ambiguous nature of subjective judgments because the picture fuzzy sets are suitable for capturing imprecise, uncertain, and inconsistent information in the multiple attribute decision making analysis. Thus, the cross entropy of picture fuzzy sets, called picture fuzzy cross entropy, is proposed as an extension of the cross entropy of fuzzy sets. Then, a multiple attribute decision making method based on the proposed picture fuzzy cross entropy is established in which attribute values for alternatives are picture fuzzy numbers. In decision making process, we utilize the picture fuzzy weighted cross entropy between the ideal alternative and an alternative to rank the alternatives corresponding to the cross entropy values and to select the most desirable one(s). Finally, a practical example for enterprise resource planning system se...read more
Citations
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Pythagorean fuzzy power aggregation operators in multiple attribute decision making
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TL;DR: The prominent characteristic of these proposed operators are studied and some approaches to solve the Pythagorean fuzzy multiple attribute decision‐making problems are developed.
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Some Picture Fuzzy Aggregation Operators and Their Applications to Multicriteria Decision-Making
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Similarity measures of Pythagorean fuzzy sets based on the cosine function and their applications
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TL;DR: Ten similarity measures between Pythagorean fuzzy sets (PFSs) based on the cosine function are presented by considering the degree of membership, degree of nonmembership and degree of hesitation in PFSs and applied to pattern recognition and medical diagnosis.
References
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