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Issue:On intuitionistic fuzzy ideals in Γ-near-rings

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Title of paper: On intuitionistic fuzzy ideals in Γ-near-rings
Author(s):
N. Palaniappan
Alagappa University, Karaikudi – 630 003, Tamilnadu, India
palaniappan.nallappan@yahoo.com
P. S. Veerappan
Department of Mathematics, K. S. R. College of Technology, Tiruchengode-637215, Tamilnadu, India
peeyesvee@yahoo.co.in
D. Ezhilmaran
Department of Mathematics, K. S. R. College of Technology, Tiruchengode-637215, Tamilnadu, India
ezhil.devarasan@yahoo.com
Published in: "Notes on IFS", Volume 17 (2011) Number 3, pages 15—24
Download:  PDF (179  Kb, File info)
Abstract: In this paper, we study some properties of intuitionistic fuzzy ideals of a Γ-near-ring and prove some results on these.
Keywords: Γ-near-ring, Intuitionistic fuzzy set, Intuitionistic fuzzy ideal.
AMS Classification: 16D25, 03E72, 03G25
References:
  1. Atanassov, K. Intuitionistic fuzzy sets, Fuzzy Sets and Systems, 20 (1), (1986), 87–96.
  2. Booth, G. L. A note on Γ-near-rings Stud. Sci. Math. Hung. 23 (1988), 471–475.
  3. Booth, G. L. Jacobson radicals of Γ-near-rings. Proceedings of the Hobart Conference, Longman Sci. & Technical (1987), 1–12.
  4. Jun, Y. B., M. Sapanci, M. A. Ozturk, Fuzzy ideals in Gamma near rings, Tr. J. of Mathematics 22(1998), 449–459.
  5. Jun, B., K. H. Kim, M. A. Ozturk, On fuzzy ideals of gamma near-rings, J. Fuzzy Math. 9(1) (2001), 51–58.
  6. Jun, Y. B., K. H. Kim, M. A. Ozturk. Fuzzy Maximal ideals in gamma near-rings, Tr. J. of Mathematics, 25 (2001), 457–463.
  7. Liu, W. Fuzzy invariant subgroups and fuzzy ideals, Fuzzy Sets and Systems, 8(1982), 133–139.
  8. Palaniappan, N., P. S. Veerappan, D. Ezhilmaran, Some properties of intuitionistic fuzzy ideals in Γ-near-rings, Journal of Indian Acad. Maths, 31(2) (2009), 617–624.
  9. Satyanarayana, Bh. Contributions to near-ring theory, Doctoral Thesis, Nagarjuna Univ. 1984.
  10. Zadeh, L. A. Fuzzy sets, Information and Control, 8 (1965), 338–353.
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