| Title of paper:
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The homomorphism and anti-homomorphism of lower level subgroups of an intuitionistic antifuzzy subgroup
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| Author(s):
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| N. Palaniappan
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| Alagappa University, Karaikudi – 630003, Tamilnadu, India
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| palaniappan1950@yahoo.co.in
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| K. Arjunan
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| Department of Mathematics, St. Michael College of Engineering & Technology, Kalayarkoil – 630551, Tamilnadu, India
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| arjunan_1975@yahoo.co.in
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| M. S. Anitha
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| Department of Mathematics, St. Michael College of Engineering & Technology, Kalayarkoil – 630551, Tamilnadu, India
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| Published in:
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"Notes on IFS", Volume 15 (2009) Number 3, pages 14—19
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| Download:
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 PDF (131 Kb, Info)
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| Abstract:
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In this paper, we introduce some properties of an intuitionistic antifuzzy subgroup of a group with homomorphism and anti-homomorphism.
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| Keywords:
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Anti-homomorphism, Homomorphism, Intuitionistic antifuzzy subgroup, Intuitionistic fuzzy lower level subset, Intuitionistic fuzzy lower level subgroup, Intuitionistic fuzzy subsets
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| References:
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- Atanassov K.T., Intuitionistic fuzzy sets, Fuzzy Sets and Systems, 20(1), 87-96 (1986).
- 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).
- Gopalakrishnamoorthy G., Ph.D Thesis, Alagappa University, Karaikudi Tamilnadu, India, May 2000.
- Mohamed Asaad, Groups and fuzzy subgroups, Fuzzy Sets and Systems (1991), North-Holland. 19
- 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.
- 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.
- Palaniappan N & Arjunan. K, Operation on fuzzy and anti fuzzy ideals, Antartica J. Math ., 4(1) (2007) 59-64.
- Palaniappan N & Arjunan. K, Some properties of intuitionistic fuzzy subgroups, Acta Ciencia Indica, Vol.XXXIII M.No.2,321-328 (2007).
- 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).
- Vasantha kandasamy .W.B, Smarandache fuzzy algebra, American research press, Rehoboth -2003.
- Zadeh.L.A,Fuzzy sets, Information and control, Vol.8, 1965, 338-353.
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| Citations:
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