Fuzzy Anti-normed Spaces

Abstract

In this paper the definition of fuzzy anti-norm is modified the authors have studied some properties of convergence and continuity in fuzzy anti-normed spaces. Firstly, the authors have given some definitions and theorems, such as fuzzy anti-normed, fuzzy anti–continuous, and fuzzy anti-convergent sequence and Cauchy sequence on fuzzy anti-normed space and definitions of open ball and closed ball. The authors have presented some examples by using these definitions. Additionally, the authors have given a definition, sequentially fuzzy anti-continuous. and some of their properties are studied.