Sequences of fuzzy star-shaped numbers

Volume 23, Issue 4, pp 321--327 http://dx.doi.org/10.22436/jmcs.023.04.05

Publication Date: November 24, 2020 Submission Date: September 08, 2020 Revision Date: October 19, 2020 Accteptance Date: November 03, 2020

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Authors

Vakeel A. Khan - Department of Mathematics, Aligarh Muslim University, Aligarh 202002, India. Emrah Evren Kara - Department of Mathematics, Duzce University, Duzce 602002, Turkey. Umme Tuba - Department of Mathematics, Aligarh Muslim University, Aligarh 202002, India. Kamal M. A. S. Alshlool - Department of Mathematics, Aligarh Muslim University, Aligarh 202002, India. Ayaz Ahmad - Department of Mathematics, National Institute of Technology, Patna 800005, India.

Abstract

The concept of fuzzy star-shaped numbers was initially introduced by Diamond [P. Diamond, Fuzzy Sets and Systems, \(\bf 37\) (1990), 193--199]. In this paper, we define the concepts of convergent, Cauchy, and bounded sequences of fuzzy star-shaped numbers in \(\mathbb{R}^{n}\) with respect to \(L_{p}\)-metric and study some properties of these new notions.

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Keywords

• Fuzzy star-shaped number
• sequences of fuzzy star-shaped number
• \(L_{p}\)-metric

MSC

•  40A35
•  40A05
•  03E72
•  40D25

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