Decision-making analysis based on Fermatean fuzzy Yager aggregation operators with application in COVID-19 testing facility
type: Item
instance of: scholarly article
title: Decision-making analysis based on Fermatean fuzzy Yager aggregation operators with application in COVID-19 testing facility
zbMATH Open document ID: 1459.90112
DOI: 10.1155/2020/7279027
author: Harish Garg
author: Gulfam Shahzadi
author: Muhammad Akram
published in: Mathematical Problems in Engineering
publication date: 2020-10-12T00:00:00Z
review text: Summary: This research article is devoted to establish some general aggregation operators, based on Yager's t-norm and t-conorm, to cumulate the Fermatean fuzzy data in decision-making environments. The Fermatean fuzzy sets (FFSs), an extension of the orthopair fuzzy sets, are characterized by both membership degree (MD) and nonmembership degree (NMD) that enable them to serve as an excellent tool to represent inexact human opinions in the decision-making process. In this article, the valuable properties of the FFS are merged with the Yager operator to propose six new operators, namely, Fermatean fuzzy Yager weighted average (FFYWA), Fermatean fuzzy Yager ordered weighted average (FFYOWA), Fermatean fuzzy Yager hybrid weighted average (FFYHWA), Fermatean fuzzy Yager weighted geometric (FFYWG), Fermatean fuzzy Yager ordered weighted geometric (FFYOWG), and Fermatean fuzzy Yager hybrid weighted geometric (FFYHWG) operators. A comprehensive discussion is made to elaborate the dominant properties of the proposed operators. To verify the importance of the proposed operators, an MADM strategy is presented along with an application for selecting an authentic lab for the COVID-19 test. The superiorities of the proposed operators and limitations of the existing operators are discussed with the help of a comparative study. Moreover, we have explained comparison between the proposed theory and the Fermatean fuzzy TOPSIS method to check the accuracy and validity of the proposed operators. The influence of various values of the parameter in the Yager operator on decision-making results is also examined.
Mathematics Subject Classification ID: 90B50
Mathematics Subject Classification ID: 90C70
Mathematics Subject Classification ID: 68T37
Mathematics Subject Classification ID: 91B06
Mathematics Subject Classification ID: 92C60
zbMATH DE Number: 7259655
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2020/7279027
OpenAlex ID: W3061903604
cites work: Fuzzy sets
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description: scientific article; zbMATH DE number 7259655