Title of paper:
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More on fuzzy compactness in intuitionistic fuzzy topological spaces
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Author(s):
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A. Haydar Eş
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Hacettepe University, Department of Mathematics, Department of Mathematics Education, Beytepe, 06532 - Ankara, Turkey
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Doğan Çoker
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Hacettepe University, Department of Mathematics, Department of Mathematics Education, Beytepe, 06532 - Ankara, Turkey
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Published in:
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"Notes on IFS", Volume 2 (1996) Number 1, pages 4—10
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Download:
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PDF (4642 Kb, File info)
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Abstract:
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Fuzzy compactness in fuzzy topological spaces was first introduced by Chang [5], and fuzzy compactness in intuicionistic fuzzy topological spaces was given by Coker [6,8]. In this paper we shall discuss fuzzy *-compactness and Lo-fuzzy compactness in these spaces.
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Keywords:
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Intuitionistic fuzzy set; Intuitionistic fuzzy topology; Intuitionistic fuzzy topo-logical space; Fuzzy continuity; Fuzzy compactness; Fuzzy *-compactness; Lo-fuzzy compactness; Lo-fuzzy almost compactness; Lo-fuzzy near compactness.
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AMS Classification:
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ОЗЕ72
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References:
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- K. Atanassov, Intuitionistic fuzzy sets, VII ITKR/s Session, Sofia (June, 1983)(in Bulgarian).
- K. Atanassov and S. Stoeva, Intuitionistic fuzzy sets, Polish Symp. on Interval &: Fuzzy Mathematics, Poznan (August, 1983), Proceedings: 23-26.
- K. Atanassov, Intuitionistic fuzzy sets, Fuzzy Sets and Systems 20, (1986), 87-96.
- K. Atanassov, Review and new results on intuitionistic fuzzy sets, Preprint IM-MFAIS, 1-88 (1988) 1-8.
- C. Ghang, Fuzzy topological spaces, J.Math.Anal.Appl. 24 (1968) 182-190.
- D. Cocer, An introduction to intuitionistic fuzzy topological spaces, submitted to Fuzzy Sets and Systems.
- D. Coker and M. Demirci, On intuitionistic fuzzy points, Notes on IFS, Vol. 1 (1995), No.2, 79-84.
- D.Coker and A.H.Es, On fuzzy compactness in intuitionistic fuzzy topological spaces, to appear in Journal of Fuzzy Mathematics.
- R. Lowen, Fuzzy topological spaces and fuzzy compactness, J.Matb.Anal.Appl. 56 (1976) 621-633.
- L.A.Zadeh, Fuzzy sets, Information and Control, 8 (1965) 338-353.
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