The Best Approximation of Generalized Fuzzy Numbers Based on Scaled Metric

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Jan 2022 Turkey English Publisher:WileyJournal:Journal of Mathematics, volume 2,022 (issn: 2314-4629, eissn: 2314-4785,

Copyright policy )

Authors: Tofigh Allahviranloo; Rasoul Saneifard; Rahim Saneifard; Farzad Kiani; Samad Noeiaghdam; Vediyappan Govindan;

doi: 10.1155/2022/1414415 , 10.60692/3mwnh-kpp71 , 10.60692/7bj4t-03z08

handle: 20.500.12713/3466

The Best Approximation of Generalized Fuzzy Numbers Based on Scaled Metric

- Summary
- Subjects
- Metrics

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.

Country

Turkey

Related Organizations

Texas A&M University System
United States
South Ural State University
Russian Federation
DMI-St. John the Baptist University
Malawi
Islamic Azad University Janah
Iran (Islamic Republic of)
National Research Irkutsk State Technical University
Russian Federation

View all View all

Keywords

Statistics and Probability, Intuitionistic Fuzzy Sets, Artificial intelligence, Metric (unit), Economics, Variety (cybernetics), Social Sciences, Fuzzy Differential Equations and Uncertainty Modeling, Set (abstract data type), Multi-Criteria Decision Making, Management Science and Operations Research, Mathematical analysis, Decision Sciences, Multi-Objective Transportation Problem Optimization, Engineering, Fuzzy Goal Programming, QA1-939, FOS: Mathematics, Fuzzy number, Minimax approximation algorithm, Mathematical optimization, Statistics, Approximation theory, Discrete mathematics, Applied mathematics, Approximation algorithm, Computer science, Programming language, Fuzzy logic, Operations management, Fuzzy Sets, Control and Systems Engineering, Physical Sciences, Fuzzy set, Mathematics

Impact byBIP!

	selected citations These citations are derived from selected sources. This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	1
	popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.	Average
	influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	Average
	impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.	Average