Intuitionistic Fuzzy $D^*$-Metric Spaceand Some Topological Properties

Masoumeh Vali

Abstract


The notion of intuitionistic fuzzy metric space was introduced by Park [Chaos Solitons and Fractals 22(2004), 1039--1046] and the concept of $D^*$-metric space by Sedghi, Shobe and Zhou [Fixed Point Theory and Applications 2007, {Article ID 27906, 13 pages]. In this paper, we define intuitionistic fuzzy $D^*$-metric space and study precompactness and metrizability in this new setup.

Keywords


$t$-norm; $t$-conorm; Intuitionistic fuzzy metric space; $D^*$-metric space; Intuitionistic fuzzy $D^*$-metric space

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DOI: http://dx.doi.org/10.26713%2Fjims.v4i2.84

eISSN 0975-5748; pISSN 0974-875X