Open Access

ARTICLE

Aggregation Operators for Interval-Valued Pythagorean Fuzzy So Set with Their Application to Solve Multi-Attribute Group Decision Making Problem

Rana Muhammad Zulqarnain¹, Imran Siddique², Aiyared Iampan³, Dumitru Baleanu^4,5,6,*
1 Department of Mathematics, University of Management and Technology, Sialkot Campus, Lahore, 54770, Pakistan
2 Department of Mathematics, University of Management and Technology, Lahore, 54000, Pakistan
3 Department of Mathematics, School of Science, University of Phayao, Mae Ka, Mueang, Phayao, 56000, Thailand
4 Department of Mathematics, Cankaya University, Balgat Ankara, 06530, Turkey
5 Institute of Space Sciences, Magurele-Bucharest, 077125, Romania
6 Department of Medical Research, China Medical University Hospital, China Medical University, Taichung, 40447, Taiwan
* Corresponding Author: Dumitru Baleanu. Email:
(This article belongs to this Special Issue: Extension, Modeling and Applications of Fuzzy Set Theory in Engineering and Science)

Computer Modeling in Engineering & Sciences 2022, 131(3), 1717-1750. https://doi.org/10.32604/cmes.2022.019408

Received 23 September 2021; Accepted 15 November 2021; Issue published 19 April 2022

Abstract

Interval-valued Pythagorean fuzzy so set (IVPFSS) is a generalization of the interval-valued intuitionistic fuzzy so set (IVIFSS) and interval-valued Pythagorean fuzzy set (IVPFS). The IVPFSS handled more uncertainty comparative to IVIFSS; it is the most signicant technique for explaining fuzzy information in the decision-making process. In this work, some novel operational laws for IVPFSS have been proposed. Based on presented operational laws, two innovative aggregation operators (AOs) have been developed such as interval-valued Pythagorean fuzzy so weighted average (IVPFSWA) and interval-valued Pythagorean fuzzy so weighted geometric (IVPFSWG) operators with their fundamental properties. A multi-attribute group decision-making (MAGDM) approach has been established utilizing our developed operators. A numerical example has been presented to ensure the validity of the proposed MAGDM technique. Finally, comparative studies have been given between the proposed approach and some existing studies. The obtained results through comparative studies show that the proposed technique is more credible and reliable than existing approaches.

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Keywords

Interval-valued Pythagorean fuzzy so set; IVPFSWA operator; IVPFSWG operator; MAGDM

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