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A Sophisticated Ranking Method of Fuzzy Numbers Based on the Concept of Exponential Area

Author

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  • Palash Dutta

    (Department of Mathematics, Dibrugarh University, Dibrugarh 786004, India)

Abstract

Uncertainty is an unavoidable components of decision making process. The ranking of fuzzy numbers which deals with such uncertainties play again a significant role in the process. Fuzzy numbers must be ranked in order to take the appropriate action by a decision maker in any real life situation. A few numbers of ranking techniques have been encountered in last few decades. However, existing techniques are situation-dependent which have drawbacks/shortcomings. In this regard, this paper presents a sophisticated ranking method based on the concept of the exponential area of the fuzzy numbers. The outputs obtained from this approach are obtained to be more efficient in comparison to the other ranking methods and outperform in all situations. The novelty and validity have been established through comparison with existing works. Furthermore, the ranking approach has been applied in medical decision making problem and the results obtained by the approach absolutely conform with analytical results and human intuitions as well.

Suggested Citation

  • Palash Dutta, 2021. "A Sophisticated Ranking Method of Fuzzy Numbers Based on the Concept of Exponential Area," New Mathematics and Natural Computation (NMNC), World Scientific Publishing Co. Pte. Ltd., vol. 17(02), pages 303-318, July.
    • Handle: RePEc:wsi:nmncxx:v:17:y:2021:i:02:n:s1793005721500162
    DOI: 10.1142/S1793005721500162
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    Cited by:

    1. Dževdet Halilović & Miloš Gligorić & Zoran Gligorić & Dragan Pamučar, 2023. "An Underground Mine Ore Pass System Optimization via Fuzzy 0–1 Linear Programming with Novel Torricelli–Simpson Ranking Function," Mathematics, MDPI, vol. 11(13), pages 1-35, June.

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