| Title of paper:
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Characterization of level sets of intuitionistic L-fuzzy semi filter of lattices
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| Author(s):
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| A. Maheswari
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| Department of Mathematics, Velammal College of Engineering and Technology, Madurai, Tamil Nadu, India
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| mahes_sathya@yahoo.com
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| S. Karthikeyan
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| Department of Mathematics, Velammal College of Engineering and Technology, Madurai, Tamil Nadu, India
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| karthikeyan19732002@yahoo.com
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| M. Palanivelrajan
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| Department of Mathematics, Govt. Arts College, Paramakudi, Tamil Nadu, India
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| palanivelrajan1975@gmail.com
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| Published in:
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"Notes on IFS", Volume 18 (2012) Number 2, pages 21—25
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| Download:
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 PDF (382 Kb, Info)
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| Abstract:
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As an extension of intuitionistic L-fuzzy semi filter (ILFSF) [3] we develop some new concepts of an ILFSF. In this paper, we characterize the level sets of ILFSF.
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| Keywords:
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Fuzzy subset, L-fuzzy subset, Intuitionistic L-fuzzy subset, Intuitionistic L-fuzzy semi filter, Intuitionistic L-fuzzy semi ideal, Level sets of ILFSF.
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| AMS Classification:
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03F55, 08A72.
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| References:
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- Atanassov, K. T., Intuitionistic Fuzzy sets, Fuzzy Sets and Systems, Vol. 20, 1986, Issue 1, 87–96.
- Atanassov K., Stoeva S., Intuitionistic L-fuzzy sets, in R. Trappl (Ed.), Cybernetics and Systems Research 2 (Elsevier Sci. Publ., Amsterdam, 1984), 539–540.
- Atanassov, K. Intuitionistic Fuzzy Sets. Springer Physica-Verlag, Heidelberg, 1999.
- Kog, A., E. Balkanay, θ-Euclidean L-fuzzy ideals of rings, Turkish Journal Of Mathematics, Vol. 26, 2002, 149–158.
- Maheswari. A, M. Palanivelrajan, Introduction to Intuitionistic L-fuzzy Semi Filter, ICMLC, Vol. 5, 2011, 275–277.
- Atallah, M. M. On the L-fuzzy prime ideal theorem of distributive lattices, The Journal of Fuzzy Mathematics, Vol. 9, 2001, No. 4, 825–831.
- Palaniappan. N, M. Palanivelrajan, K. Arjunan, On Intuitionistic L-fuzzy ideal of Lattices, Antarctica J. Math., Vol. 5, 2008, Issue 2, 53–57.
- Zadeh, L. A. Fuzzy sets, Inform. Control, Vol. 8, 1965, 338–353.
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