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Intuitionistic Fuzzy Rings with Operators

Profile image of Poonam K U M A R SharmaPoonam K U M A R Sharma

2018, International Journal of Mathematics and Computer Science

https://doi.org/10.31142/IJMCR/V6I2.01
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7 pages

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Abstract

In this paper, we further study the theory of intuitionistic fuzzy rings and give some new concepts such as intuitionistic fuzzy ring with operators, intuitionistic fuzzy ideal with operators , intuitionistic fuzzy quotient ring with operators, etc. while their some elementary properties are discussed.

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References (16)

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  2. K.T. Atanassov, New operations defined over the intuitionistic fuzzy sets, Fuzzy Sets and Systems, 61 (1994) 137-142.
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  8. Mourad Oqla Massadeh, The M-Homomorphism and M-Anti Homomorphism on M-Fuzzy Subrings over M-Ring, Advances in Theoretical and Applied Mathematics., 7, 2012.
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  11. Poonam Kumar Sharma 2 , IJMCR Volume 6 Issue 02 February 2018
  12. P.K. Sharma, t-intuitionistic fuzzy quotient ring, International Journal of Fuzzy Mathematics and Systems 2 (2012) 207-216.
  13. Chunxiang Liu Shaoquan Sun, (λ, µ)-fuzzy Subrings and (λ, µ)-fuzzy Quotient Subrings with Operators, International Journal of Mathematical, Computational, Physical, Electrical and Computer Engineering, 10 (2016)
  14. Wenxiang Gu Shaoquan Sun, Fuzzy subrings with operators and Fuzzy ideals with opera-tors, Fuzzy Systems and Mathematics, 19 (2005)
  15. Q. Y. Xiong, Modern Algebra. Science and Technology Publishment, Shanghai, 1978.
  16. M. A. Ozturk Y. B. Jun and C. H. Par, Intuitionistic nil radicals of intuitionistic fuzzy ideals and Euclidean intuitionistic fuzzy ideals in rings, Information Sciences. 177 (2007) 4662-4677.

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