Some Subspaces of Generalized Entire Sequences of Fuzzy Numbers

T. Balasubramanian, A. Padiarani

Abstract


The object of the present paper is to introduce the sequence spaces $\lambda_{0} (F, p)$ defined by the sequence of fuzzy numbers and $p=(p_{k})$ be any bounded sequence of positive real numbers. We study their different algebraic and topological properties. We also obtain some inclusion relations between these spaces.

Keywords


Fuzzy number; Entire sequence spaces; Completeness; Bounded sequence; Cauchy sequence

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DOI: http://dx.doi.org/10.26713%2Fjims.v3i2.47

eISSN 0975-5748; pISSN 0974-875X