A novel accuracy function under interval-valued Pythagorean fuzzy environment for solving multicriteria decision making problem

Article type: Research Article

Authors: Garg, Harish^*

Affiliations: School of Mathematics, Thapar University Patiala, Punjab, India

Correspondence: [*] Corresponding author. H. Garg, School of Mathematics, Thapar University Patiala, Punjab, India. Tel.: +91 8699031147 E-mail: [email protected]. http://sites.google.com/site/harishg58iitr/

Abstract: The objective of the present work is divided into two folds. Firstly, an interval-valued Pythagorean fuzzy set (IVPFS) has been introduced along with their two aggregation operators, namely, interval-valued Pythagorean fuzzy weighted average and weighted geometric operators for different IVPFS. Secondly, an improved accuracy function under IVPFS environment has been developed by taking the account of the unknown hesitation degree. The proposed function has been applied to decision making problems to show the validity, practicality and effectiveness of the new approach. A systematic comparison between the existing work and the proposed work has also been given.

Keywords: Pythagorean fuzzy set, interval-valued Pythagorean fuzzy set, MCDM, accuracy function, aggregated operators

DOI: 10.3233/IFS-162165

Journal: Journal of Intelligent & Fuzzy Systems, vol. 31, no. 1, pp. 529-540, 2016