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Issue:Some operations on intuitionistic fuzzy sets of root type

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Title of paper: Some operations on intuitionistic fuzzy sets of root type
Author(s):
N. Palaniapan
Professor of Mathematics, Alagappa University, Karaikudi - 3
npalaniappanl950@yahoo.co.in
R. Srinivasan
Department of Mathematics, Islamiah College, Vaniampadi
srinivasanmaths@yahoo.com
R. Parvathi
Department of Mathematics, Vellalar College for Women, Erode- 9, Tamilnadu, INDIA.
paarvathis@rediffmail.com
Published in: "Notes on IFS", Volume 12, 2006, Number 3, pages 20–29
Download:  PDF (131  Kb, Info)
Abstract: Following the definitions of Intuitionistic Fuzzy Set (IFS), Intuitionistic Fuzzy Set of Second Types (IFSST) introduced by Krassimir T Atanassov, we define Intuitionistic Fuzzy Set of Root Type (IFSRT) and some operations on IFSRT. Further, we have defined concentration and dilation of an IFSRT. We have also proved some properties along with suitable examples.
Keywords: Intuitionistic Fuzzy Sets (IFSs), IFSST, IFSRT, CONRT, DILRT.
References:
  1. Atanassov K.T, Intuitionistic Fuzzy Sets (Theory and Applications), 1999, Springer Verlag, Newyork.
  2. Coker D A, Note on Intuitionistic Sets and Intuitionistic Points, Transaction of Mathematics, 1996, Vol.20, p343 - 351.
  3. De S K, Ranjit Biswas, Roy A R, Some Operations on Intuitionistic Fuzzy sets, Fuzzy sets and systems, 2000, 114, p477 - 484.
  4. Parvathi R, Palaniappan N, Some Operations on Intuitionistic Fuzzy set of Second Type, Notes on Intuitionistic Fuzzy Sets, 2004, 10(2), p 1-19.
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