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