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

Palash Dutta ()
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Palash Dutta: Department of Mathematics, Dibrugarh University, Dibrugarh 786004, India

New Mathematics and Natural Computation (NMNC), 2021, vol. 17, issue 02, 303-318

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.

Keywords: Uncertainty/imprecision; fuzzy number; exponential functions; ranking of fuzzy numbers (search for similar items in EconPapers)
Date: 2021
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DOI: 10.1142/S1793005721500162

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