Methods for Multiple Attribute Group Decision Making Based on Picture Fuzzy Dombi Hamy Mean Operator

Authors

  • Muhammad Saad Department of Applied Mathematics and Statistics, Institute of Space Technology, Pakistan
  • Ayesha Rafiq Department of Applied Mathematics and Statistics, Institute of Space Technology, Pakistan
  • Luis Perez-Dominguez Department of Industrial Engineering and Manufacturing, Autonomous University of Ciudad Juárez, Mexico

DOI:

https://doi.org/10.47852/bonviewJCCE2202206

Keywords:

picture fuzzy sets, PFDHM operator, PFDDHM operator, PFWDDHM operator, MAGDM

Abstract

In this work, ambiguity and unclarity are coped with the effective tools of picture fuzzy sets (PFSs), especially where the conditions demand simulation of various dimensions for evaluation, for example, decision making. PFS requires operators to measure the coordination of two PFSs. As far as this paper is concerned, we bring new operators to PFSs with an application, validating this as the generalization of the concept of Fuzzy Sets (FSs) and Intuitionistic Fuzzy Sets (IFSs). The hybrid structure of PFSs has been incorporated with other operators to develop picture fuzzy Dombi Hamy mean (PFDHM) operator, picture fuzzy weighted Dombi Hamy mean (PFWDHM) operator, picture fuzzy Dombi dual Hamy mean (PFDDHM) operator, and PF weighted Dombi dual Hamy mean (PFWDDHM) operator. Further, the properties such as Idempotency, Monotonicity, Boundedness, and Commutativity related to each proposed operator have been discussed. By using these operators the multiple attribute group decision-making (MAGDM) methods are proposed. Moreover, we have explained the application by providing an example of a car supplier. The results are concluded by selecting the best car on the basis of attributes such as quality, production, service efficiency, and risk factors using operators defined on PFSs. A comparative study is also conducted to study the significance of the developed work.

 

Received: 4 April 2022 | Revised: 16 May 2022 | Accepted: 25 May 2022

 

Conflicts of Interest

The authors declare that they have no conflicts of interest to this work.

 

Data Availability Statement
Data sharing is not applicable to this article as no new data were created or analyzed in this study.

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Published

2022-05-27

How to Cite

Saad, M., Rafiq, A., & Perez-Dominguez, L. (2022). Methods for Multiple Attribute Group Decision Making Based on Picture Fuzzy Dombi Hamy Mean Operator. Journal of Computational and Cognitive Engineering, 3(3), 252–264. https://doi.org/10.47852/bonviewJCCE2202206

Issue

Section

Research Articles