Issue:The homomorphism and anti-homomorphism of lower level subgroups of an intuitionistic antifuzzy subgroup

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Title of paper: The homomorphism and anti-homomorphism of lower level subgroups of an intuitionistic antifuzzy subgroup
Author(s):
N. Palaniappan
Alagappa University, Karaikudi – 630003, Tamilnadu, India
palaniappan1950At sign.pngyahoo.co.in
K. Arjunan
Department of Mathematics, St. Michael College of Engineering & Technology, Kalayarkoil – 630551, Tamilnadu, India
arjunan_1975At sign.pngyahoo.co.in
M. S. Anitha
Department of Mathematics, St. Michael College of Engineering & Technology, Kalayarkoil – 630551, Tamilnadu, India
Published in: "Notes on IFS", Volume 15 (2009) Number 3, pages 14—19
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Abstract: In this paper, we introduce some properties of an intuitionistic antifuzzy subgroup of a group with homomorphism and anti-homomorphism.
Keywords: Anti-homomorphism, Homomorphism, Intuitionistic antifuzzy subgroup, Intuitionistic fuzzy lower level subset, Intuitionistic fuzzy lower level subgroup, Intuitionistic fuzzy subsets
References:
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  2. Choudhury F.P. and Chakraborty A.B. and Khare.S.S., A note on fuzzy subgroups and fuzzy homomorphism. Journal of mathematical analysis and applications 131,537 -553 (1988).
  3. Gopalakrishnamoorthy G., Ph.D Thesis, Alagappa University, Karaikudi Tamilnadu, India, May 2000.
  4. Mohamed Asaad, Groups and fuzzy subgroups, Fuzzy Sets and Systems (1991), North-Holland. 19
  5. Palaniappan N & Muthuraj.R, The homomorphism, anti-homomorphism of a fuzzy and an anti-fuzzy groups, Varahmihir Journal of Mathematical Sciences, Vol.4 No.2 (2004), 387-399.
  6. Palaniappan N & Arjunan. K, The homomorphism, anti homomorphism of a fuzzy and an anti fuzzy ideals, Varahmihir Journal of Mathematical Sciences, Vol.6 No.1 (2006), 181-188.
  7. Palaniappan N & Arjunan. K, Operation on fuzzy and anti fuzzy ideals, Antartica J. Math ., 4(1) (2007) 59-64.
  8. Palaniappan N & Arjunan. K, Some properties of intuitionistic fuzzy subgroups, Acta Ciencia Indica, Vol.XXXIII M.No.2,321-328 (2007).
  9. Palaniappan N, Arjunan. K & VeeramaniV, The homomorphism, anti-homomorphism of intuitionistic fuzzy normal subrings, Acta Ciencia Indica, Vol.XXXIII M.No.2, 219 - 224 (2007).
  10. Vasantha kandasamy .W.B, Smarandache fuzzy algebra, American research press, Rehoboth -2003.
  11. Zadeh.L.A,Fuzzy sets, Information and control, Vol.8, 1965, 338-353.
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