| Title of paper:
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Intuitionistic fuzzy metric space
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| Author(s):
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| Said Melliani
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| Laboratoire de Mathématiques Appliquées & Calcul Scientifique, Sultan Moulay Slimane University, BP 523, 23000 Beni Mellal, Morocco
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| melliani@fstbm.ac.ma
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| M'hamed Elomari
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| Laboratoire de Mathématiques Appliquées & Calcul Scientifique, Sultan Moulay Slimane University, BP 523, 23000 Beni Mellal, Morocco
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| Lalla Saadia Chadli
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| Laboratoire de Mathématiques Appliquées & Calcul Scientifique, Sultan Moulay Slimane University, BP 523, 23000 Beni Mellal, Morocco
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| Razika Ettoussi
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| Laboratoire de Mathématiques Appliquées & Calcul Scientifique, Sultan Moulay Slimane University, BP 523, 23000 Beni Mellal, Morocco
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| Published in:
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"Notes on IFS", Volume 21, 2015, Number 1, pages 43—53
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| Download:
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 PDF (187 Kb, Info)
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| Abstract:
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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.
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| Keywords:
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Intuitionistic fuzzy sets, Intuitionistic fuzzy metric space, Intuitionistic fuzzy number.
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| AMS Classification:
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03E72, 08A72.
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| References:
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- Atanassov, K. (1986) Intuitionistic fuzzy sets, Fuzzy Sets and Systems, 20, 87–96.
- Atanassov, K. (1999) Intuitionistic Fuzzy Sets: Theory and Applications, Springer Physica-Verlag, Heidelberg.
- Atanassov, K., Vassilev, P., & Tsvetkov, R. (2013) Intuitionistic Fuzzy Sets, Measures and integrals Bulgarian Academic Monographs (12), Professor Marin Drinov Academic Publishing House, Sofia.
- Brezis, H. (2010) Functional Analysis, Sobolev Spaces and Partial Differential Equations, Springer.
- Chadli, L. S., & Melliani, S. (2002) On distance between intuitionistic fuzzy sets, Notes on Intuitionistic fuzzy sets, 8(3), 34–36.
- 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.
- Puri, M. L., & Ralescu, D. A. (1986) Fuzzy random variables, J. Math. Anal. Appl., 114, 409–422.
- Saadati, R., & Park, J. H. (2006) On the intuitionistic fuzzy topological spaces, Chaos Solitons Fractals, 27 331–344.
- Szmidt, E., & Kacprzyk, J. (2000) Distances between intuitionistic fuzzy sets, Fuzzy Sets and Systems, 114, 505–518.
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