| Title of paper:
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A note on properties of temporal intuitionistic fuzzy sets
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| Author(s):
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| Parvathi Rangasamy
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| Department of Mathematics, Vellalar College for Women, Erode – 638 012,Tamilnadu, India
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| paarvathis@rediffmail.com
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| S. P. Geetha
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| Department of Mathematics, Vellalar College for Women, Erode – 638 012,Tamilnadu, India
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| geetha_sams@rediffmail.com
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| Presented at:
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13th ICIFS, Sofia, 9-10 May 2009
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| Published in:
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Conference proceedings, "Notes on IFS", Volume 15 (2009) Number 1, pages 42—48
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| Download:
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 PDF (93 Kb, Info)
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| Abstract:
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Fuzzy Sets (FSs) are generalized from the notion of classical (crisp) sets (Zadeh 1965) [8]. A fuzzy subset A of E can be characterized with a membership function µA : E → [0, 1]. Krassimir T. Atanassov further generalized fuzzy sets into Intuitionistic Fuzzy Sets (IFSs) in which non-membership function νA : E → [0, 1] is also considered [7]. Further he extended IFSs into Temporal Intuitionistic Fuzzy Sets (TIFSs) in which time-moments are also taken into consideration. TIFSs are useful in time-based mathematical modeling. In this paper, some properties of TIFSs are discussed.
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| Keywords:
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IFS, TIFS, Closure, Interior, Tautological sets, Max-min implications, Level sets, [math]\displaystyle{ G^*_{\alpha, \beta} }[/math], [math]\displaystyle{ P_{\alpha, \beta} }[/math] and [math]\displaystyle{ Q_{\alpha, \beta} }[/math].
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| References:
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- G. Langran, Time in Geographic Information Systems, Ph.D., Dissertation, University of Washington, 1989.
- Floris Geerts, Sofie Haesevoets, and Bart Kuijpers, A Theory of Spatio-temporal Database Queries, DBPL 2001, Lecture Notes in Computer Science 2397, 2002, pp.198-212.
- C.S.Jensen, C.E.Dyreson, M.Bohlen, and J.Clifford, etal., The consensus glossary of temporal database concepts, February 1998 version. Lecture Notes in Computer Science 1399, 1998, pp.367-405.
- O.Etzion, S.Jajodia, and S.Sripada, eds., Temporal databases : research and practice, Lecture Notes in Computer Science 1399, New York, NY, USA, Springer-Verlag Inc., 1998.
- L.Vila, A Survey on Temporal Reasoning in Artificial Intelligence, AICON (Artificial Intelligence Communications) 7(1994), pp.4-28.
- Gabor Nagypal and Boris Motik, A Fuzzy Model for Representing Uncertain, Subjective, and Vague Temporal Knowledge in Ontologies, Coopis/Doa/ODBASE 2003, Lecture Notes in Computer Science 2888, 2003, pp.906-923.
- Krassimir T. Atanassov, Intuitionistic Fuzzy Sets: Theory and Applications, ISBN 3-7908-1228-5, Physica-Verlag, New York, 1999, pp.38-45 and 186-190.
- L.A.Zadeh, Fuzzy Sets, Information and Control, Vol.8, 1965, pp.338-353.
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| Citations:
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