The Best Approximation of Generalized Fuzzy Numbers Based on Scaled Metric

Tofigh Allahviranloo, Rasoul Saneifard, Rahim Saneifard, Farzad Kiani, Samad Noeiaghdam, Vediyappan Govindan and Mehdi Ghatee

Journal of Mathematics, 2022, vol. 2022, 1-8

Abstract: The ongoing study has been vehemently allocated to propound an ameliorated α-weighted generalized approximation of an arbitrary fuzzy number. This method sets out to lessen the distance between the original fuzzy set and its approximation. In an effort to elaborate the study, formulas are designed for computing the ameliorated approximation by using a multitude of examples. The numerical samples will be exemplified to illuminate the improvement of the nearest triangular approximation (Abbasbandy et al., Triangular approximation of fuzzy numbers using α-weighted valuations, Soft Computing, 2019). A variety of features of the ameliorated approximation are then proved.

Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:1414415

DOI: 10.1155/2022/1414415

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