Some basic results on fuzzy strong $\phi$-b-normed linear spaces

TL;DR

This paper introduces fuzzy strong φ-b-normed linear spaces, generalizing the scalar norm function with a new function φ, and explores fundamental properties of finite-dimensional spaces within this framework.

Contribution

It defines fuzzy strong φ-b-normed linear spaces with a generalized scalar function and studies their basic properties, expanding the theoretical understanding of such spaces.

Findings

Defined fuzzy strong φ-b-normed linear spaces.

Established fundamental properties of finite-dimensional spaces.

Generalized scalar functions in normed spaces.

Abstract

In this paper, definition of fuzzy strong $\phi$-b-normed linear space is given. Here the scalar function |c| is replaced by a general function $\phi$(c) where {\phi} satisfies some properties. Some basic results on finite dimensional fuzzy strong $\phi$-b-normed linear space are studied.