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Issue:A note on properties of temporal intuitionistic fuzzy sets

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Title of paper: A note on properties of temporal intuitionistic fuzzy sets
Author(s):
Parvathi Rangasamy
Department of Mathematics, Vellalar College for Women, Erode – 638 012,Tamilnadu, India
paarvathis@rediffmail.com
S. P. Geetha
Department of Mathematics, Vellalar College for Women, Erode – 638 012,Tamilnadu, India
geetha_sams@rediffmail.com
Presented at: 13th ICIFS, Sofia, 9-10 May 2009
Published in: Conference proceedings, "Notes on IFS", Volume 15 (2009) Number 1, pages 42—48
Download:  PDF (93  Kb, Info)
Abstract: 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.
Keywords: 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].
References:
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  3. 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.
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  7. 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.
  8. L.A.Zadeh, Fuzzy Sets, Information and Control, Vol.8, 1965, pp.338-353.
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