| Title of paper:
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Radical structures of intuitionistic fuzzy polynomial ideals of a ring
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| Author(s):
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| P. K. Sharma
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| Post Graduate Department of Mathematics, D.A.V. College, Jalandhar, Punjab, India
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| pksharma@davjalandhar.com
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| Gagandeep Kaur
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| Research Scholar, IKG PT University, Jalandhar, Punjab, India
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| taktogagan@gmail.com
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| Published in:
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Notes on Intuitionistic Fuzzy Sets, Volume 24 (2018), Number 4, pages 85–96
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| DOI:
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https://doi.org/10.7546/nifs.2018.24.4.85-96
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| Download:
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 PDF (198 Kb Kb, File info)
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| Abstract:
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In this paper we investigate the radical structure of an intuitionistic fuzzy polynomial ideal Ax induced by an intuitionistic fuzzy ideal A of a ring and study its properties. Given an intuitionistic fuzzy ideal B of a ring R′ and a homomorphism f : R → R′, we show that if f(sub>x : R[x] → R′[x] is the induced homomorphism of f, that is, fx (∑i = 0n aixi) = ∑i = 0n (f(ai)) xi, then fx–1 [(√B)x] = (√f–1(B))x.
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| Keywords:
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Complex trapezoidal intuitionistic fuzzy number (CTrIFN), Trapezoidal intuitionistic fuzzy number (TrIFN).
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| AMS Classification:
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03E72, 05C72, 05C65, 47N60.
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| References:
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- Atanassov, K. T. (1999). Intuitionistic Fuzzy Sets: Theory and Applications, Physica-Verlag, Heidelberg.
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- Buckley, J. J. (1989). Fuzzy complex numbers, Fuzzy Sets and Systems, 33, 333–345.
- Beaula, T., & Priyadharsini, M. (2015). Operations on intuitionistic trapezoidal fuzzy numbers using interval arithmetic, Int. J. of Fuzzy Mathematical Archive, 9(1), 125–133.
- Moore, R. E. (1996). Interval Analysis, Prentice Hall, India.
- Burillo, P., Bustince, H., & Mohedano, V. (1994). Some definition of intuitionistic fuzzy number, Fuzzy Based Expert Systems, Sofia, Bulgaria, 1994, 28–30.
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