Q-Rung Orthopair Dual Hesitant Fuzzy Bonferron Mean Operators

Nausheen Ayub,Aslam Malik

doi:10.17485/ijst/v14i6.1838

Abstract

Objectives/Methods: Taking into account the impreciseness and subjectiveness of decision makers (DMs) in complex decision-making situations, the assessment datum over alternatives given by DMs is consistently vague and uncertain. In meantime, to evaluate human’s hesitance, the q-rung orthopair dual hesitant fuzzy sets (q-RODHFSs) are defined which are more accurate for manipulation real MADM matters. To merge the datum in q-RODHFSs more precisely, in this research script, some Bonferroni mean (BM) operators in light of q-RODHFSs datum, which includes arbitrary number of being merged arguments, are developed and examined. Findings: Obviously, the novel defined operators can produce much accurate results than already existing methods. Additionally, some important measures of said BM operators are talked about and all the peculiar cases of them are studied which expresses that the BM operator is more dominant than others. Eventually, the MADM algorithm is furnished and the operators are utilized to choose the best alternative under q-rung orthopair dual hesitant fuzzy numbers (q-RODHFNs). Taking advantage of the novel operators and constructed algorithm, the developed operators are utilized in the MADM problems. Keywords: : Bonferroni mean; Dual BM; q-rung orthopair dual hesitant fuzzy sets; q-rung orthopair dual hesitant fuzzy weighted Bonferroni mean; q-rung orthopair dual hesitant fuzzy weighted dual Bonferroni mean

Highlights

Atanassov (1) conferred the concept of intuitionistic fuzzy set (IFS), as an advance form of fuzzy set (FS) (2)
4.2 Comparative analysis compared with existing magdm methods To demonstrate the superiorities of the proposed method, we have compared our method with that (1) developed by Wang et al.’s (26) based on the dual hesitant fuzzy weighted averaging (DHFWA) operator, (2) presented by Tu et al.’s (27), based on the dual hesitant fuzzy weighted Bonferroni mean (DHFWBM) operator, (3) putforwarded by Tang(24), based on the dual hesitant Pythagorean fuzzy Heronian weighted averaging (DHPFHWA) operator, (4) proposed by, Xu et al.’s(23) based on the Methods Wang et al.’ (26) method based on the DHFWA operator
If an attribute value provided by decision makers (DMs) is {{0.1, 0.2, 0.6, 0.7}, {0.1, 0.4, 0.5}}, obviously, the pair {{0.1, 0.2, 0.6, 0.7}, {0.1, 0.4, 0.5}} is not valid for dual hesitant fuzzy sets (DHFSs) and DHPFSs

Summary

Introduction

Atanassov (1) conferred the concept of intuitionistic fuzzy set (IFS), as an advance form of fuzzy set (FS) (2). Every element enclosed in IFS was interpreted with the degree of membership γ and non-membership η, and their sum is restricted to 1, in mathematical form can be labeled as γ + η ≤ 1. The IFS and hesitant fuzzy sets (HFSs) (3) has appealed many scholars’s consideration since its evolution. As an impressive MADM technique, Pythagorean fuzzy sets (PFSs)(4) has appeared to outline the uncertainty and fuzziness of the assessment datum. It is observed that, all the intuitionistic fuzzy decision-making problems are the special case of Pythagorean fuzzy decisionmaking problems, which means that the PFS is more powerful to handle the MADM problems. Wu and Wei (5) developed few Hamacher aggregation operators under PFSs environment to amass PFSs datum.

Methods

Results

Conclusion