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

paarvathisrediffmail.com

S. P. Geetha

Department of Mathematics, Vellalar College for Women, Erode – 638 012,Tamilnadu, India

geetha_samsrediffmail.com


Presented at:

13^{th} ICIFS, Sofia, 910 May 2009

Published in:

Conference proceedings, "Notes on IFS", Volume 15 (2009) Number 1, pages 42—48

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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 µ_{A} : E → [0, 1]. Krassimir T. Atanassov further generalized fuzzy sets into Intuitionistic Fuzzy Sets (IFSs) in which nonmembership function ν_{A} : E → [0, 1] is also considered [7]. Further he extended IFSs into Temporal Intuitionistic Fuzzy Sets (TIFSs) in which timemoments are also taken into consideration. TIFSs are useful in timebased mathematical modeling. In this paper, some properties of TIFSs are discussed.

Keywords:

IFS, TIFS, Closure, Interior, Tautological sets, Maxmin implications, Level sets, , and .

References:

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