Designing and Analyzing Fermatean Fuzzy Decision Models: A Comprehensive Decision Making Approach

Authors

  • Krishnan Suvitha Department of Mathematics, Bharathiar University, Coimbatore, India. https://orcid.org/0000-0003-1408-1393 Author
  • Ranganathan Saraswathy Karpagam Medical College and Hospital, Coimbatore, Tamil Nadu, India. https://orcid.org/0009-0009-7919-8868 Author
  • Chakkarapani Sumathi Thilagasree Chakkarapani Sumathi Thilagasree Department of Mathematics, Sri Ramakrishna Mission Vidyalaya College of Arts and Science, Coimbatore, India. https://orcid.org/0009-0001-2670-3009 Author
  • Samayan Kalaiselvan Department of Social Work, SRMV College of Arts and Science, Coimbatore, India. https://orcid.org/0000-0002-7214-7752 Author
  • Samayan Narayanamoorthy Department of Mathematics, Bharathiar University, Coimbatore, India. https://orcid.org/0000-0002-3782-4666 Author

DOI:

https://doi.org/10.59543/jidmis.v2i.12601

Keywords:

Decision making, Fermatean fuzzy set, R-programming , LOPCOW, TOP- SIS

Abstract

In the framework of Multi-Criteria Decision Making (MCDM), this study explores the incorporation of fuzzy set theory with decision-making techniques. It starts by giving a summary of fuzzy set theory and the basic ideas that are necessary to comprehend how decisions are made. The paper presents the Technique for Order of Preference by Similarity to Ideal Solution (TOPSIS) and Logarithmic Percentage Change Driven Objective Weighting (LOPCOW), which are implemented using R programming. The paper illustrates the use of these approaches for alternative ranking and objective weight evaluation with a thorough numerical example. The outcomes demonstrate how well these strategies work together to handle challenging decision-making situations. The paper offers a precise and effective approach for resolving MCDM issues by utilising the computational power of R programming.

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Published

2025-03-05

How to Cite

Krishnan Suvitha, Ranganathan Saraswathy Karpagam, Chakkarapani Sumathi Thilagasree, Samayan Kalaiselvan, & Samayan Narayanamoorthy. (2025). Designing and Analyzing Fermatean Fuzzy Decision Models: A Comprehensive Decision Making Approach. Journal of Intelligent Decision Making and Information Science, 2, 272–286. https://doi.org/10.59543/jidmis.v2i.12601

Issue

Vol. 2 (2025)

Section

Articles

License

Creative Commons License

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JIDMIS is published Open Access under a Creative Commons CC-BY 4.0 license. Authors retain full copyright, with the first publication right granted to the journal.