Fuzzy Anti-norm and Fuzzy $\alpha$-anti-convergence

TL;DR

This paper introduces fuzzy anti-norms and their properties, explores fuzzy alpha-anti-convergence, and studies the structure of fuzzy anti-normed linear spaces, contributing to the mathematical foundation of fuzzy analysis.

Contribution

It defines fuzzy anti-norms and fuzzy alpha-anti-convergence, and investigates properties of finite-dimensional fuzzy anti-normed linear spaces, advancing fuzzy mathematical theory.

Findings

Defined fuzzy anti-norms and alpha-anti-norms.

Studied properties of finite-dimensional fuzzy anti-normed spaces.

Explored fuzzy alpha-anti-convergence and completeness.

Abstract

Fuzzy anti-norm and corresponding $\alpha$-norms are defined. A few properties of finite dimensional fuzzy anti-normed linear space are studied. Fuzzy $\alpha$-anti-convergence and fuzzy $\alpha$-anti-complete linear space are defined and a few of their properties are studied.