| Title of paper:
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Norms over intuitionistic fuzzy subrings and ideals of a ring
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| Author(s):
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| Rasul Rasuli
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| Mathematics Department, Faculty of Science, Payame Noor University (PNU), Tehran, Iran
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| rasulirasul@yahoo.com
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| Published in:
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"Notes on IFS", Volume 22, 2016, Number 5, pages 72—83
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| Download:
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 PDF (123 Kb, Info)
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| Abstract:
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In this paper, we apply norms over intuitionistic fuzzy subrings and ideals of a ring. We introduce the notions of intuitionistic
fuzzy subrings and ideals of a ring with respect a t-norm T and a t-conorm C and investigate some related properties under homomorphism.
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| Keywords:
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Ring theory, Norms, Fuzzy set theory, Intuitionistic fuzzy subrings, Intuitionistic fuzzy ideals, Homomorphisms, Direct products.
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| AMS Classification:
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13Axx, 03B45, 03E72, 20K30, 20K25
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| References:
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- Abu Osman, M. T. (1987) On some products of fuzzy subgroups, Fuzzy Sets and Systems, 24, 79–86.
- Ajmal, N. & Thomas, K. V. (1995) The lattice of fuzzy ideals of a ring, Fuzzy Sets and Systems, 74, 371–379.
- Atanassov, K. T. (1986) Intuitionistic fuzzy sets, Fuzzy Sets and Systems, 20, 87–96.
- Atanassov, K. T. (1994) New operations defined over the intuitionistic fuzzy sets, Fuzzy Sets and Systems, 61, 137–142.
- Banejee, B. & Basnet, D. Kr. (2003) Intuitionistic fuzzy subrings and ideals, J. Fuzzy Math., 11(1), 139–155.
- Biswas, R. (1989) Intuitionistic fuzzy subrings, Mathematical Forum, 10, 37–46.
- Buckley, J. J. & Eslami, E. (2002) An introduction to fuzzy logic and fuzzy sets, Springer-Verlag, Berlin Heidelberg GmbH.
- Coker, D. (1997) An introduction to intuitionistic fuzzy topological spaces, Fuzzy Sets and Systems, 88, 81–99.
- Coker, D. & Es, A. H. (1995) On fuzzy compactness in intuitionistic fuzzy topological spaces, J. Fuzzy Math., 3(4), 899–909.
- Gurcay, H., Coker, D. & Es, A. H. (1997) On fuzzy continuity in intuitionistic fuzzy topological spaces, J. Fuzzy Math., 5(2), 355–378.
- Hur, K. , Jang, S. Y. & Kang, H. W. (2003) Intuitionistic fuzzy subgroupoids, International Journal of Fuzzy Logic and Intelligent Systems, 3(1), 72–77.
- Hur, K., Kang, H. W. & Song, H. K. (2003) Intuitionistic fuzzy subgroups and subrings, Honam Math. J. , 25(1), 19–41.
- Lee, S. J. & Lee, E. P. (2000) The category of intuitionistic fuzzy topological spaces, Bull. Korean Math. Soc., 37(1), 63–76.
- Majumdar, S.& Sultana, Q. S. (1996) The lattice of fuzzy ideals of a ring, Fuzzy Sets and Systems, 81, 271–273.
- Malik, D. S., Mordeson, J. N. & Sen, M. K. (1997) Fundamentals of Abstract Algebra, McGraw Hill.
- Zadeh, L. A. (1965) Fuzzy sets, Inform. and Control, 8, 338–353.
- Zhang, Q. & Meng, G. (2000) On the lattice of fuzzy ideals of a ring, Fuzzy Sets and Systems, 112, 349–353.
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