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

Abstract

In this paper, we examine the multicriteria decision-making (MCDM) difficulties for Pythagorean fuzzy hypersoft sets (PFHSSs). The PFHSSs are a suitable extension of the Pythagorean fuzzy soft sets (PFSSs) which deliberates the parametrization of multi-subattributes of considered parameters. It is a most substantial notion for describing fuzzy information in the decision-making (DM) procedure to accommodate more vagueness comparative to existing PFSSs and intuitionistic fuzzy hypersoft sets (IFHSSs). The core objective of this study is to plan some innovative operational laws considering the interaction for Pythagorean fuzzy hypersoft numbers (PFHSNs). Also, based on settled interaction operational laws, two aggregation operators (AOs) i.e., Pythagorean fuzzy hypersoft interaction weighted average (PFHSIWA) and Pythagorean fuzzy hypersoft interaction weighted geometric (PFHSIWG) operators for PFHSSs operators have been presented with their fundamental properties. Furthermore, an MCDM technique has been established using planned interaction AOs. To ensure the strength and practicality of the developed MCDM method, a mathematical illustration has been presented. The usefulness, influence, and versatility of the developed method have been demonstrated via comparative analysis with the help of some conventional studies.

Aggregation Operators for Interval-Valued Pythagorean Fuzzy Hypersoft Set with Their Application to Solve MCDM Problem

“…Table 5 below presents the projected technique and the characteristic analysis of some existing models. × × IVIFWG [42] × × IVPFWA [14] × × IVPFWG [15] × × IFSWA [20] × × IFSWG [20] × × IVIFSWA [22] × IVIFSWG [22] × PFSWA [24] × × PFSWG [24] × × PFSIWA [25] × × PFSIWG [25] × × IVPFSWA [29] × IVPFSWG [29] × IFHSWA [36] × IFHSWG [36] × PFHSWA [43] × PFHSWG [43] × PFHSIWA [44] × (Continued)…”

An innovative approach to passport quality assessment based on the possibility q-rung ortho-pair fuzzy hypersoft set

“…(Pythagorean fuzzy hyper soft set) [36] Let M be a universal set and be a power set of M and , be a attributes set and set a set of corresponding sub-attributes of respectively with for for each and . The pair is referred as PFHSS over M and its mapping is PFHSN can be denoted as , with …”

Aggregation Operators for Decision Making Based on q-Rung Orthopair Fuzzy Hypersoft Sets: An Application in Real Estate Project

“…The induced generalised intuitionistic fuzzy ordered weighted averaging (I-GIFOWA) and induced generalised interval-valued intuitionistic fuzzy ordered weighted averaging (I-GIIFOWA) operators were introduced by Xu et al [21]. For the sake of better decision-making, Zulqarnain et al [22] also explored a variety of aggregation operators in a Pythagorean fuzzy hypersoft environment. Basic aggregation operators, such as the weighted average and weighted geometric operators were designed by Liu et al [23], and they were applied in a scenario based on q-rung orthopair fuzzy information.…”