Title of paper:
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Interval valued intuitionistic fuzzy primary ideal
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Author(s):
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M. Palanivelrajan
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Department of Mathematics, Government Arts College, Paramakudi – 623 707, Tamilnadu, India
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palanivelrajan1975@gmail.com
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K. Gunasekaran
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Ramanujan Research Centre, PG and Research Department of Mathematics, Government Arts College (Autonomous), Kumbakonam-612 001, Tamilnadu, India
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kgunasekaran1963@gmail.com
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S. Nandakumar
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Department of Mathematics, Government Arts College, Ariyalur –621 713, Tamilnadu, India
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udmnanda@gmail.com
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Published in:
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"Notes on Intuitionistic Fuzzy Sets", Volume 19, 2013, Number 4, pages 48—59
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Download:
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PDF (168 Kb, File info)
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Abstract:
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The concept of fuzzy semiprimary ideal is extended by introducing intuitionistic fuzzy primary ideals as well as intuitionistic fuzzy semiprimary ideals in rings. Using this concept, Interval valued intuitionistic fuzzy primary ideal and Interval valued intuitionistic fuzzy semiprimary ideals is defined. Various properties of interval valued intuitionistic fuzzy primary ideals and interval valued intuitionistic fuzzy semiprimary ideals are proved. Finally, interval valued intuitionistic fuzzy Lie primary ideals and interval valued intuitionistic fuzzy lie semi primary ideals are defined, some properties are established
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Keywords:
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Intuitionistic fuzzy set, Intuitionistic fuzzy primary ideal, Intuitionistic fuzzy semi-primary ideal, Interval valued intuitionistic fuzzy primary ideals, Interval valued intuitionistic fuzzy semi primary ideals, Interval valued intuitionistic fuzzy Lie primary ideals, Interval valued intuitionistic fuzzy lie semi primary ideals
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AMS Classification:
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03F55, 20N25, 08A72.
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References:
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- Atanassov, K. T., Intuitionistic fuzzy sets, Fuzzy Sets and Systems, Vol. 20, 1986, No. 1, 87–96.
- Atanassov, K., Operators over interval valued intuitionistic fuzzy sets, Fuzzy Sets and Systems, Vol. 64, 1994, No. 2, 159–174.
- Atanassov, K., Intuitionistic Fuzzy Sets, Springer, Heidelberg, 1999.
- Atanassov, K. T, G. Gargov. Interval valued intuitionistic fuzzy sets, Fuzzy Sets and Systems, Vol. 31, 1989, 343–349.
- Chakrabarty, K., R. Biswas, S. Nanda, A note on union and intersection of intuitionistic fuzzy sets, Notes on Intuitionistic Fuzzy Sets, Vol. 3, 1995, No. 4, 34-39.
- Keyun Qin, Quanxi Qiao, Chaoping Chen, Some properties of fuzzy Lie algebras. The Journal of Fuzzy Mathematics, Vol. 9, 2001, No. 4, 985–989.
- Palanivelrajan, M, S. Nandakumar. Some properties of intuitionistic fuzzy primary and semiprimary ideals, Notes on Intuitionistic Fuzzy Sets, Vol. 18, 2012, No. 3, 68–74.
- Palanivelrajan, M, S. Nandakumar. Some operations of intuitionistic fuzzy primary and semiprimary ideal, Asian Journal of Algebra, Vol. 5, No. 2, 2012, 44–49.
- Rajes, K. Fuzzy semiprimary ideals of rings, Fuzzy Sets and Systems, Vol. 42, 1991, 263–272.
- Zadeh, L. A., Fuzzy sets, Information and Control, Vol. 8, 1965, 338–353.
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