| Title of paper:
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Characterization of compact subset of intuitionistic fuzzy sets
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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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| said.melliani@gmail.com
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| R. 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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| M. 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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| Presented at:
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International Conference on Intuitionistic Fuzzy Sets Theory and Applications, 20–22 April 2016, Beni Mellal, Morocco
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| Published in:
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"Notes on IFS", Volume 22, 2016, Number 2, pages 13—21
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| Download:
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 PDF (127 Kb, File info)
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| Abstract:
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In this paper we introduce two classes of metrics for spaces of intuitionistic fuzzy sets IFn. The spaces shown to be complete. We use the support function to embed the metric space (IFn, dp) into Banach space, and we give a sufficient and necessary condition for characterization of compacts and locally compact subsets of space IFn.
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| Keywords:
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Intuitionistic fuzzy sets, support function, compact, locally compact.
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| AMS Classification:
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03E72
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| References:
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- Melliani, S., Elomari, M., Chadli, L. S. & Ettoussi, R. (2015) Intuitionistic fuzzy metric space, Notes on Intuitionistic Fuzzy Sets, 21(1), 43–53.
- Vitale, R. A. (1985) Lp Metrics for Compact, Convex Sets. Journal of Approximation Theory 45(3), 280–287.
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