Abstract: In this paper, the notion of neutrosophic soft metric space $(NSMS)$ is introduced in terms of neutrosophic soft points and several related properties, structural characteristics have been investigated. Then the convergence of sequence in neutrosophic soft metric space is defined and illustrated by examples. Further, the concept of Cauchy sequence in $NSMS$ is developed and some related theorems have been established, too.
Keywords: Neutrosophic soft set $(NSS)$, Neutrosophic soft metric space, Conver- gence of sequence in $NSMS$ and
How to cite this article:
Tuhin Bera and Nirmal Kumar Mahapatra, On Neutrosophic Soft Metric Space, International Journal of Advances in Mathematics, Volume 2018, Number 1, Pages 180-200, 2018.