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
paarvathisAt sign.pngrediffmail.com
S. P. Geetha
Department of Mathematics, Vellalar College for Women, Erode – 638 012,Tamilnadu, India
geetha_samsAt sign.pngrediffmail.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
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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, G_{{\alpha ,\beta }}^{*}, P_{{\alpha ,\beta }} and Q_{{\alpha ,\beta }}.
References:
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  2. 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.
  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.
  4. 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.
  5. L.Vila, A Survey on Temporal Reasoning in Artificial Intelligence, AICON (Artificial Intelligence Communications) 7(1994), pp.4-28.
  6. 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.
  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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