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

Authors

  • Masoumeh Vali Department of Mathematics, Islamic Azad University, Najafabad Branch, Najafabad, Isfahan, Iran

DOI:

https://doi.org/10.26713/jims.v4i2.84

Keywords:

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

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.
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Issue

Vol. 4 No. 2 (2012)

Section

Research Article

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How to Cite

Vali, M. (2012). Intuitionistic Fuzzy $D^*$-Metric Spaceand Some Topological Properties. Journal of Informatics and Mathematical Sciences, 4(2), 205-218. https://doi.org/10.26713/jims.v4i2.84