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Issue:Characterization of compact subset of intuitionistic fuzzy sets

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Title of paper: Characterization of compact subset of intuitionistic fuzzy sets
Author(s):
Said Melliani
Laboratoire de Mathématiques Appliquées & Calcul Scientifique, Sultan Moulay Slimane University, BP 523, 23000 Beni Mellal, Morocco
said.melliani@gmail.com
R. Ettoussi
Laboratoire de Mathématiques Appliquées & Calcul Scientifique, Sultan Moulay Slimane University, BP 523, 23000 Beni Mellal, Morocco
M. 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
Presented at: International Conference on Intuitionistic Fuzzy Sets Theory and Applications, 20–22 April 2016, Beni Mellal, Morocco
Published in: "Notes on IFS", Volume 22, 2016, Number 2, pages 13—21
Download:  PDF (127  Kb, Info)
Abstract: 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.
Keywords: Intuitionistic fuzzy sets, support function, compact, locally compact.
AMS Classification: 03E72
References:
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