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A NEW IMPROVED SCORE FUNCTION OF AN INTERVAL-VALUED PYTHAGOREAN FUZZY SET BASED TOPSIS METHOD

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BEGELL HOUSE INC
DOI: 10.1615/Int.J.UncertaintyQuantification.2017020197

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Pythagorean fuzzy set; multicriteria decision-making; TOPSIS; score function; interval-valued numbers

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In the present study, an improved score function for the ranking order of interval-valued Pythagorean fuzzy sets (IVPFSs) has been proposed. Based on it, a Pythagorean fuzzy technique for order of preference by similarity to ideal solution (TOPSIS) method by taking the preferences of the experts in the form of interval-valued intuitionistic Pythagorean fuzzy decision matrices has been presented. A positive and negative ideal separation measures solution has been computed based on the proposed score function to determine the relative closeness coefficient and hence the most desirable one/s is/are selected. Finally, an illustrative example for a multicriteria decision-making (MCDM) problem has been taken to demonstrate the proposed approach.

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