Some Convergent Sequence Spaces of Fuzzy Star-Shaped Numbers

Abstract

The intention of this chapter is to survey some recent development of fuzzy star-shaped numbers (FSSN) and its applications. In this chapter, we investigate the notions of convergent, Cauchy, bounded double sequences of FSSN in Rn with regards to (w.r.t.) L?-metric and examine some features of these concepts. Also, we acquire new sequences spaces of FSSN by utilizing ideal for double sequences of FSSN. We examine algebraic and topological features of the obtained new sequence spaces. We also present various examples of the new aforementioned sequences in support of our results and in addition we prove various correlation theorems. © 2023 Elsevier B.V., All rights reserved.