Intuitionistic Fuzzy Ordinal Priority Approach with Grey Relational Analysis

Priyanka Majumder and Valerio Antonio Pamplona Salomon ()
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Priyanka Majumder: Department of Basic Science and Humanities (Mathematics), Techno College of Engineering Agartala, Tripura 799004, India
Valerio Antonio Pamplona Salomon: Department of Production, Universidade Estadual Paulista (UNESP—Sao Paulo State University), Guaratingueta 12516-410, Brazil

Mathematics, 2024, vol. 12, issue 19, 1-15

Abstract: Multi-attribute decision-making (MADM) is a methodology for solving decision problems with a finite set of alternatives. The several methods of MADM require weights for the criteria and the alternatives to provide a solution. The Ordinal Priority Approach (OPA) is a recently proposed method for MADM that innovates; it does not require these inputs, just the rankings of criteria and alternatives. This article introduces a new hybrid method for MADM: the Intuitionistic Fuzzy Ordinal Priority Approach with Grey Relational Analysis (OPA-IF-GRA). OPA-IF-GRA combines GRA with OPA-IF, a newer extension of OPA that includes intuitionistic fuzzy sets to incorporate uncertainty into the decision-making process. The article presents an OPA-IF-GRA application for solving an electronics engineering problem, considering four criteria and six alternatives. The solution of OPA-IF-GRA is compared with the solutions obtained with three other MADM methods.

Keywords: ordinal priority approach; intuitionistic fuzzy sets; grey relational analysis; power dividers (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
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