An Advanced Arithmetic Approach to GTIFNs and Its Application in Medical Analysis

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

New Mathematics and Natural Computation (NMNC), 2021, vol. 17, issue 01, 105-143

Abstract: Intuitionistic fuzzy set (IFS) is the straight simplification of fuzzy set theory (FST). Nevertheless, estimation of the arithmetic operation on generalized intuitionistic fuzzy number (GIFNs) is a critical apprehension. This paper presents an attempt to set up a novel method for effectively resolving the drawbacks of conform arithmetic operations on generalized triangular intuitionistic fuzzy numbers (GTIFNs). For this purpose, decomposition theorems for generalized trapezoidal intuitionistic fuzzy numbers (GTrFNs) are studied. Numerical examples are illustrated herewith. Finally, to validate the requirement of a novel elucidation, an application in medical analysis has been carried out under this setting.

Keywords: Uncertainty/imprecision; intuitionistic fuzzy number; generalized intuitionistic fuzzy number; decomposition theorem; fuzzy arithmetic; medical analysis (search for similar items in EconPapers)
Date: 2021
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DOI: 10.1142/S179300572150006X

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