Intuitionistic Fuzzy F-Normed Space

Bivas Dinda, Santanu Kumar Ghosh, Tapas Kumar Samanta

Abstract

In this paper, we introduce intuitionistic fuzzy F-norm as a gener-alization of intuitionistic fuzzy pseudo norm and study decomposition theorem ofintuitionistic fuzzy F-norm into two family of norms. We also study topologicalvector space and metrizable topological vector space in terms of intuitionistic fuzzyF-norm.