Finite dimensional fuzzy normed linear spaces.(English)Zbl 1045.46048

Summary: Following the concept of fuzzy norm introduced by S. C. Cheng and J. N. Mordeson [Bull. Calcutta Math. Soc. 86, 429-436 (1994; Zbl 0829.47063)], a definition of fuzzy norm is given on a linear space. A decomposition theorem for the fuzzy norm is established, and the properties of finite-dimensional fuzzy normed linear spaces are studied.

MSC:

 46S40 Fuzzy functional analysis

Zbl 0829.47063