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Issue:Intuitionistic fuzzy metric space

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http://ifigenia.org/wiki/issue:nifs/21/1/43-53
Title of paper: Intuitionistic fuzzy metric space
Author(s):
Said Melliani
Laboratoire de Mathématiques Appliquées & Calcul Scientifique, Sultan Moulay Slimane University, BP 523, 23000 Beni Mellal, Morocco
melliani@fstbm.ac.ma
M'hamed Elomari
Laboratoire de Mathématiques Appliquées & Calcul Scientifique, Sultan Moulay Slimane University, BP 523, 23000 Beni Mellal, Morocco
Lalla Saadia Chadli
Laboratoire de Mathématiques Appliquées & Calcul Scientifique, Sultan Moulay Slimane University, BP 523, 23000 Beni Mellal, Morocco
Razika Ettoussi
Laboratoire de Mathématiques Appliquées & Calcul Scientifique, Sultan Moulay Slimane University, BP 523, 23000 Beni Mellal, Morocco
Published in: "Notes on Intuitionistic Fuzzy Sets", Volume 21, 2015, Number 1, pages 43—53
Download:  PDF (187  Kb, File info)
Abstract: We propose a method for constructing a Hausdorff intuitionistic fuzzy metric on the set of the nonempty compact subsets of a given intuitionistic fuzzy metric space. We discuss several important properties as completeness, completion and separability.
Keywords: Intuitionistic fuzzy sets, Intuitionistic fuzzy metric space, Intuitionistic fuzzy number.
AMS Classification: 03E72, 08A72.
References:
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  2. Atanassov, K. (1999) Intuitionistic Fuzzy Sets: Theory and Applications, Springer Physica-Verlag, Heidelberg.
  3. Atanassov, K., Vassilev, P., & Tsvetkov, R. (2013) Intuitionistic Fuzzy Sets, Measures and integrals Bulgarian Academic Monographs (12), Professor Marin Drinov Academic Publishing House, Sofia.
  4. Brezis, H. (2010) Functional Analysis, Sobolev Spaces and Partial Differential Equations, Springer.
  5. Chadli, L. S., & Melliani, S. (2002) On distance between intuitionistic fuzzy sets, Notes on Intuitionistic fuzzy sets, 8(3), 34–36.
  6. Grzegorzewski, P. (2004) Distances between intuitionistic fuzzy sets and/or interval-valued fuzzy sets based on the Hausdorff metric, Fuzzy Sets and Systems, 148, 148–319.
  7. Puri, M. L., & Ralescu, D. A. (1986) Fuzzy random variables, J. Math. Anal. Appl., 114, 409–422.
  8. Saadati, R., & Park, J. H. (2006) On the intuitionistic fuzzy topological spaces, Chaos Solitons Fractals, 27 331–344.
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