An Extension of Bonferroni Mean under Cubic Pythagorean Fuzzy Environment and Its Applications in Selection-Based Problems

Author:

Rahim Muhammad1ORCID,Amin Fazli1ORCID,Ali Asad1ORCID,Shah Kamal23ORCID

Affiliation:

1. Department of Mathematics and Statistics Hazara, University Mansehra, Khyber, Pakhtunkhwa 21300, Pakistan

2. Department of Mathematics and Sciences, Prince Sultan University, Riyadh 11586, Saudi Arabia

3. Department of Mathematics, University of Malakand, Chakdara Dir (Lower) 18000 Khyber, Pakhtunkhwa, Pakistan

Abstract

Cubic Pythagorean fuzzy (CPF) set (CPFS) is a hybrid set that can describe both interval-valued Pythagorean fuzzy (IVPF) sets (IVPFSs) and Pythagorean fuzzy (PF) sets (PFSs) simultaneously for addressing information ambiguities. Since an aggregation operator (AO) is a significant mathematical approach in decision-making (DM) problems, this article presents some novel Bonferroni mean (BM) and weighted Bonferroni mean averaging operators between CPF-numbers (CPFNs) for aggregating the different preferences of the decision-makers. Then, using the proposed AOs, we develop a DM approach under the CPF environment and demonstrated it with a numerical example. Furthermore, a comparative study between the proposed and existing methods has been performed to demonstrate the practicality and efficiency of the proposed DM approach.

Funder

Prince Sultan University

Publisher

Hindawi Limited

Subject

General Engineering,General Mathematics

Reference50 articles.

1. Information and control;L. A. Zadeh;Fuzzy Sets,1965

2. The concept of a linguistic variable and its application to approximate reasoning—I

3. On Intuitionistic Fuzzy Sets Theory

4. Interval valued intuitionistic fuzzy sets;K. T. Atanassov,1999

5. Pythagorean fuzzy subsets;R. R. Yager

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