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Issue:An introduction to intuitionistic L-fuzzy semi-primary ideals

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Title of paper: An introduction to intuitionistic L-fuzzy semi-primary ideals
Author(s):
P. Veerammal
Department of Mathematics, Saraswathi Narayanan College, Madurai 625 022, Tamil Nadu, India
chandruruthresh@gmail.com
M. Palanivelrajan
Department of Mathematics, Government Arts College, Paramakudi 623 707, Tamil Nadu, India
palanivelrajan1975@gmail.com
Published in: "Notes on Intuitionistic Fuzzy Sets", Volume 22, 2016, Number 5, pages 84—97
Download:  PDF (123  Kb, File info)
Abstract: Intuitionistic Fuzzy Sets, involving membership,non-membership and hesitancy considerations mathematically present a very general structure. Based on these considerations, we have made an attempt to study some operations on the algebraic nature of an Intuitionistic L-Fuzzy Semi-primary Ideals (ILFSPI).
Keywords: Intuitionistic fuzzy set, Intuitionistic L-fuzzy primary ideals, Intuitionistic L-fuzzy semi-primary ideals
AMS Classification: 03E72, 06B23, 08A72
References:
  1. Atanassov, K. (1986) Intuitionistic fuzzy sets, Fuzzy Sets and Systems, 20(1), 87–96.
  2. Atanassov, K. & Stoeva, S. (1984) Intuitionistic L-fuzzy sets, Cybernetics and Systems Research, 2, 539–540.
  3. Atanassov, K. (1994) New operations defined over the Intuitionistic fuzzy sets, Fuzzy Sets and Systems, 61, 137–142.
  4. Lehmke, S. (1997) Some properties of fuzzy ideals on a lattice, Proc. of the 6th IEEE Int. Conf. on Fuzzy Systems, 2, 813–818.
  5. Atallah, M. M. (2001) On the L-fuzzy prime ideal theorem of distributive lattices, The Journal of Fuzzy Mathematics, 9(4), 825–831.
  6. Palanivelrajan, M. & Nandhakumar, S. (2012) Some properties of Intuitionistic fuzzy primary and semi primary ideals, Proc. of 16th Int. Conf. on IFSs, Sofia, 9–10 Sept, Notes on Intuitionistic Fuzzy Sets, 18(3), 68–74.
  7. Palanivelrajan, M. & Nandhakumar, S. (2012) Some operations of intuitionistic fuzzy primary and semi primary ideals, Asian Journal of Agebra, 5(2), 44–49.
  8. Zadeh, L. A. (1965) Fuzzy sets, Information and Control, 8, 338–353.
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