On strong intuitionistic fuzzy metrics

Abstract

In this paper we give some properties of a class of intuitionistic fuzzy metrics which is called strong. This new class includes the class of stationary intuitionistic fuzzy metrics. So we examine the relationship between strong intuitionistic fuzzy metric and stationary intuitionistic fuzzy metric.

On the intuitionistic fuzzy metric spaces and the intuitionistic fuzzy normed spaces

“…He showed that for each intuitionistic fuzzy metric space (X, M, N, * , ♦), the topology generated by the intuitionistic fuzzy metric (M, N ) coincides with the topology generated by the fuzzy metric M . For more details on intuitionistic fuzzy metric space and related results we refer the reader to [2,7,9,13,19,[21][22][23]27]. In 2006, Saadati and Park introduced the notion of intuitionistic fuzzy normed space [25].…”

“…for any a, b ∈ [0, 1]. Now we recall the definitions of intuitionistic fuzzy metric space which was introduced by Park [21] in 2004 (see also [9]).…”