Keywords:-
Keywords:
Intuitionistic fuzzy ring, Intuitionistic fuzzy ring with operators, Intuitionistic fuzzy ideals with operators, Intuitionistic fuzzy quotient ring with operators, Homomorphism
Article Content:-
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 opera- tors, intuitionistic fuzzy quotient ring with operators, etc. while their some elementary properties are discussed.
References:-
References
1. K.T. Atanassov, Intuitionistic fuzzy sets, Fuzzy Sets and Systems, 20(1) (1986) 87-96.
2. K.T. Atanassov, New operations defined over the intuitionistic fuzzy sets, Fuzzy Sets and Systems, 61 (1994) 137- 142.
3. K.T. Atanassov, Intuitionistic Fuzzy Sets Theory and Applications, Studies on Fuzziness and Soft Computing, 35, Physica
Verlag, Heidelberg (1999).
4. B. Banerjee and D.K. Basnet, Intuitionistic Fuzzy Subrings and ideals., J. Fuzzy Math. 11 (2003) 139-155. 2002113-124.
5. D. K. Basnet, Topic in intuitionistic fuzzy algebra, Lambert Academic Publishing,ISBN : 978-3-8443-9147-3, 2011.
6. R. Biswas, Intuitionistic fuzzy subgroup, Mathematical Forum X (1989) 37-46.
7. K. Hur, H. W. Kang, and H. K. Song, Intuitionistic Fuzzy Subgroups and Subrings, Honam Math J. 25(1) (2003) 19-41.
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.
9. K. Meena and K. V. Thomas, Intuitionistic L-fuzzy Subrings, International Mathematical Forum, 6 (2011) 2561- 2572.
10. K. Meena and K. V. Thomas, Intuitionistic L-Fuzzy Rings, Global Journal of Science Fron- tier Research Mathematics and
Decision Sciences, 12 (2012) 16-31.
11. P.K. Sharma, t-intuitionistic fuzzy quotient ring, International Journal of Fuzzy Mathematics and Systems 2 (2012) 207- 216.
12. 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)
13. Wenxiang Gu Shaoquan Sun, Fuzzy subrings with operators and Fuzzy ideals with opera- tors, Fuzzy Systems and
Mathematics, 19 (2005)
14. Q. Y. Xiong, Modern Algebra. Science and Technology Publishment, Shanghai, 1978.
15. 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.
2. K.T. Atanassov, New operations defined over the intuitionistic fuzzy sets, Fuzzy Sets and Systems, 61 (1994) 137- 142.
3. K.T. Atanassov, Intuitionistic Fuzzy Sets Theory and Applications, Studies on Fuzziness and Soft Computing, 35, Physica
Verlag, Heidelberg (1999).
4. B. Banerjee and D.K. Basnet, Intuitionistic Fuzzy Subrings and ideals., J. Fuzzy Math. 11 (2003) 139-155. 2002113-124.
5. D. K. Basnet, Topic in intuitionistic fuzzy algebra, Lambert Academic Publishing,ISBN : 978-3-8443-9147-3, 2011.
6. R. Biswas, Intuitionistic fuzzy subgroup, Mathematical Forum X (1989) 37-46.
7. K. Hur, H. W. Kang, and H. K. Song, Intuitionistic Fuzzy Subgroups and Subrings, Honam Math J. 25(1) (2003) 19-41.
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.
9. K. Meena and K. V. Thomas, Intuitionistic L-fuzzy Subrings, International Mathematical Forum, 6 (2011) 2561- 2572.
10. K. Meena and K. V. Thomas, Intuitionistic L-Fuzzy Rings, Global Journal of Science Fron- tier Research Mathematics and
Decision Sciences, 12 (2012) 16-31.
11. P.K. Sharma, t-intuitionistic fuzzy quotient ring, International Journal of Fuzzy Mathematics and Systems 2 (2012) 207- 216.
12. 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)
13. Wenxiang Gu Shaoquan Sun, Fuzzy subrings with operators and Fuzzy ideals with opera- tors, Fuzzy Systems and
Mathematics, 19 (2005)
14. Q. Y. Xiong, Modern Algebra. Science and Technology Publishment, Shanghai, 1978.
15. 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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Yamin, M., & Sharma, P. (2018). Intuitionistic Fuzzy Rings with Operators. International Journal Of Mathematics And Computer Research, 6(02), 1860-1866. https://doi.org/10.31142/ijmcr.v6i02.1