Multicriteria Decision-Making Approach for Aggregation Operators of Pythagorean Fuzzy Hypersoft Sets

Imran Siddique; Rana Muhammad Zulqarnain; Rifaqat Ali; Fahd Jarad; Aiyared Iampan

doi:10.1155/2021/2036506

Multicriteria Decision-Making Approach for Aggregation Operators of Pythagorean Fuzzy Hypersoft Sets

Comput Intell Neurosci. 2021 Sep 22:2021:2036506. doi: 10.1155/2021/2036506. eCollection 2021.

Authors

Imran Siddique¹, Rana Muhammad Zulqarnain², Rifaqat Ali³, Fahd Jarad^{4

5}, Aiyared Iampan⁶

Affiliations

¹ Department of Mathematics, School of Science, University of Management and Technology, Lahore 54770, Pakistan.
² Department of Mathematics, School of Science, University of Management and Technology, Sialkot Campus, Lahore, Pakistan.
³ Department of Mathematics, College of Science and Arts, King Khalid University, Muhayil, Abha 61413, Saudi Arabia.
⁴ Department of Mathematics, Cankaya University, Etimesgut, Ankara, Turkey.
⁵ Department of Medical Research, China Medical University Hospital, China Medical University, Taichung, Taiwan.
⁶ Department of Mathematics, School of Science, University of Phayao, Mae Ka, Mueang, Phayao 56000, Thailand.

Abstract

The Pythagorean fuzzy hypersoft set (PFHSS) is the most advanced extension of the intuitionistic fuzzy hypersoft set (IFHSS) and a suitable extension of the Pythagorean fuzzy soft set. In it, we discuss the parameterized family that contracts with the multi-subattributes of the parameters. The PFHSS is used to correctly assess insufficiencies, anxiety, and hesitancy in decision-making (DM). It is the most substantial notion for relating fuzzy data in the DM procedure, which can accommodate more uncertainty compared to available techniques considering membership and nonmembership values of each subattribute of given parameters. In this paper, we will present the operational laws for Pythagorean fuzzy hypersoft numbers (PFHSNs) and also some fundamental properties such as idempotency, boundedness, shift-invariance, and homogeneity for Pythagorean fuzzy hypersoft weighted average (PFHSWA) and Pythagorean fuzzy hypersoft weighted geometric (PFHSWG) operators. Furthermore, a novel multicriteria decision-making (MCDM) approach has been established utilizing presented aggregation operators (AOs) to resolve decision-making complications. To validate the useability and pragmatism of the settled technique, a brief comparative analysis has been conducted with some existing approaches.

MeSH terms

Anxiety*
Uncertainty