Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

On Fuzzy Near Best Approximation

Version 1 : Received: 16 September 2023 / Approved: 18 September 2023 / Online: 19 September 2023 (08:15:15 CEST)

How to cite: Tourani, R.; Khoddami, A.R. On Fuzzy Near Best Approximation. Preprints 2023, 2023091205. https://doi.org/10.20944/preprints202309.1205.v1 Tourani, R.; Khoddami, A.R. On Fuzzy Near Best Approximation. Preprints 2023, 2023091205. https://doi.org/10.20944/preprints202309.1205.v1

Abstract

Given a fuzzy normed space $ \left( X,N \right) $‎, ‎we will introduce the notion of fuzzy near best approximation within a relative distance $ \rho \geq 0 $‎. ‎Some basic properties are characterized and also many examples for illustration are presented‎.

Keywords

Fuzzy near best approximation; Direct sum; Tensor product; Fuzzy norm

Subject

Computer Science and Mathematics, Analysis

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