Affiliations: [a] Department of Mathematics, Riphah International University (Lahore Campus), Lahore, Pakistan
| [b] School of Mathematics, Thapar Institute of Engineering & Technology (Deemed University) Patiala, Punjab, India
| [c] Basic Sciences Department, Preparatory Year Deanship, King Faisal University, Al-Ahsa, Saudi Arabia
Correspondence:
[*]
Corresponding author. Kifayat Ullah, Department of Mathematics, Riphah International University (Lahore Campus), 54000, Lahore, Pakistan. E-mail: Kifayat.khan.dr@gmail.com.
Abstract: Multiple-attribute group decision-making (MAGDM) technique is often used to make decisions when several optimal options are under consideration. It can be difficult to select a reasonable optimal option for the decision maker under consideration of insufficient information. The theory of Hamy mean (HM) operators are used to express correlation among different input arguments and provide a smooth approximation during the decision-making process. Recently, Aczel Alsina aggregating expressions gained a lot of attention from numerous mathematicians under different fuzzy circumstances. This article aims to illustrate the notion of a Pythagorean fuzzy (PyF) set (PyFS) with some restricted constraints, such as a sum of the square of truth membership value and falsity membership value. We developed a series of new approaches under consideration of the HM tools, including PyF Aczel Alsina Hamy mean (PyFAAHM), and PyF Aczel Alsina weighted Hamy mean (PyFAAWHM) operators. Further, we also extend the theory of Dual Hamy mean (DHM) operators and derived a series of new methodologies such as PyF Aczel Alsina Dual Hamy mean (PyFAADHM) and PyF Aczel Alsina weighted Dual Hamy mean (PyFAAWDHM) operators. To demonstrate the flexibility of our derived approaches, we illustrate an application of a multinational company considering the MAGDM technique. An experimental case study is also illustrated to evaluate a reasonable option from a group of options. We see the advantages and compatibility of our findings by comparing the results of existing approaches with the results of currently discussed methodologies.
Keywords: Pythagorean fuzzy value, operations of Aczel Alsina aggregation expressions, Hamy mean aggregation models, multi-attribute group decision-making system
