Interval-Valued Picture Fuzzy Maclaurin Symmetric Mean Operator with application in Multiple Attribute Decision-Making

  • Ansa Ashraf Department of Mathematics, Riphah Institute of Computing and Applied Sciences, Riphah International University Lahore, Lahore, Pakistan
  • Kifayat Ullah Department of Mathematics, Riphah Institute of Computing and Applied Sciences, Riphah International University Lahore, Lahore, Pakistan
  • Amir Hussain Department of Mathematics, Riphah Institute of Computing and Applied Sciences, Riphah International University Lahore, Lahore, Pakistan
  • Mehwish Bari Riphah International College Bahawalpur Campus, Bahawalpur, Pakistan
Keywords: Maclaurin Symmetric Mean, Picture Fuzzy Set, Aggregation Tools, Decision Making.

Abstract

A lot of fuzzy models have been planned and researched to review the information under uncertainty and ambiguity. Among these, the model of the interval-valued picture fuzzy set (IVPFS) is very important which can explain the information by four possibilities in the opinion of experts using a membership degree (MD), non-membership degree (NMD), abstinence degree (AD), and a refusal degree (RD) in the form of intervals. The gathering of data is difficult all the time, particularly when the difference of opinions is connected. This article aims to explore the idea of a Maclaurin symmetric mean (MSM) operator in the framework of IVPFS. In this article, we have studied MSM in the framework of IVPFSs and discussed their application in picking the most suitable company benefit plan (CBP) using interval-valued picture fuzzy (IVPF) data. The proposed operators IVPF MSM (IVPFMSM), IVPF weighted MSM (IVPFWMSM), IVPF dual MSM (IVPFDMSM), and IVPF dual weighted MSM (IVPFDWMSM) operators are found trustworthy with the basic properties. Finally, to show the proposed method's importance and significance, a numerical example has been provided and results have been compared with some existing operators.

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Published
2022-04-20
How to Cite
Ashraf, A., Ullah, K., Hussain, A., & Bari, M. (2022). Interval-Valued Picture Fuzzy Maclaurin Symmetric Mean Operator with application in Multiple Attribute Decision-Making. Reports in Mechanical Engineering, 3(1), 301-317. https://doi.org/10.31181/rme20020042022a