Document Type : Research Paper

Authors

Department of Mathematics, Siksha-Bhavana, Visva-Bharati, Santiniketan-731235, Birbhum, West-Bengal, India.

Abstract

Following the definition of fuzzy normed linear space which was introduced by Bag and Samanta in general t-norm settings, 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.

Keywords

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