Fuzzy Metric on Fuzzy Linear Spaces

Gebru Gebray, B. Krishna Reddy

Abstract: In this paper; we introduce metric on a subset of a fuzzy linear space and some of its properties are discussed. In the sequel; we proved that a norm on a fuzzy linear space (in sense of C. P. Santhosh and T. V. Ramakrishna [1]) induces a metric of fuzzy linear spaces (in our sense).

Keywords: Fuzzy field, fuzzy linear space, fuzzy metric space linear space, norm on a fuzzy linear space