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International Journal for Uncertainty Quantification

Impact factor: 1.000

ISSN Print: 2152-5080
ISSN Online: 2152-5099

Open Access

International Journal for Uncertainty Quantification

DOI: 10.1615/Int.J.UncertaintyQuantification.2017020197
pages 463-474

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

Harish Garg
School of Mathematics, Thapar Institute of Engineering and Technology (Deemed University) Patiala 147004, Punjab, India

ABSTRACT

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.