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Intuitionistic Fuzzy Ordinal Priority Approach with Grey Relational Analysis

Author

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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)

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.

Suggested Citation

  • Priyanka Majumder & Valerio Antonio Pamplona Salomon, 2024. "Intuitionistic Fuzzy Ordinal Priority Approach with Grey Relational Analysis," Mathematics, MDPI, vol. 12(19), pages 1-15, October.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:19:p:3156-:d:1494868
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    References listed on IDEAS

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    1. Chung, Shu-Hsing & Lee, Amy H. I. & Pearn, W. L., 2005. "Analytic network process (ANP) approach for product mix planning in semiconductor fabricator," International Journal of Production Economics, Elsevier, vol. 96(1), pages 15-36, April.
    2. Jyrki Wallenius & James S. Dyer & Peter C. Fishburn & Ralph E. Steuer & Stanley Zionts & Kalyanmoy Deb, 2008. "Multiple Criteria Decision Making, Multiattribute Utility Theory: Recent Accomplishments and What Lies Ahead," Management Science, INFORMS, vol. 54(7), pages 1336-1349, July.
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