Research Article
Year 2019,
Issue: 29, 71 - 78, 30.12.2019
Abstract
We have studied some types of ideals in a KU-semigroup by using the concept of a bipolar fuzzy set. Bipolar fuzzy S-ideals and bipolar fuzzy k-ideals are introduced, and some properties are investigated. Also, some relations between a bipolar fuzzy k-ideal and k-ideal are discussed. Moreover, a bipolar fuzzy k-ideal under homomorphism and the product of two bipolar fuzzy k-ideals are studied.
References
- L. A. Zadeh, Fuzzy Sets, Information and Control 8 (1965) 338-353.
- S. M. Mostafa, F. F. Kareem, Fuzzy N-fold KU-ideals of KU-algebras, Annals of Fuzzy Mathematics and Informatics 8(6) (2014) 987-1000.
- S. M. Mostafa, M. A. Abd-Elnaby and M. M. M. Yousef, Fuzzy Ideals of KU-Algebras, International Mathematical Forum 6(63) (2011) 3139-3149.
- K. M. Lee, Bipolar-Valued Fuzzy Sets and Their Operations, Proceeding of International Conference on Intelligent Technologies, Bangkok, Thailand, (2000) 307-312.
- K. M. Lee, Comparison of Interval-Valued Fuzzy Sets, Intuitionistic Fuzzy Sets, and Bipolar-Valued Fuzzy sets, Journal of Fuzzy Logic and Intelligent Systems 14 (2004) 125-129.
- S. M. Mostafa, F. F. Kareem, Bipolar Fuzzy N-fold KU-Ideals of KU-Algebras, Mathematica Eterna 4 (2014) 633-650.
- G. Muhiuddin, Bipolar Fuzzy KU-Subalgebras\Ideals of KU-Algebras, Annals of Fuzzy Mathematics and Informatics 8(3) (2014) 409-418.
- A. B. Saeid, Bipolar-Valued Fuzzy BCK\BCI-Algebras, World Applied Sciences Journal 7(11) (2009) 1404-1411.
- C. Prabpayak, U. Leerawat, On Ideals and Congruence in KU-Algebras, Scientia Magna Journal 5(1) (2009) 54-57.
- C. Prabpayak, U. Leerawat, On Isomorphisms of KU-Algebras, Scientia Magna Journal 5(3) (2009) 25-31.
- F. F. Kareem, E. R. Hasan, On KU-Semigroups, International Journal of Science and Nature 9(1) (2018) 79-84.
- E. R. Hasan, F. F. Kareem, Fuzzy KU-Semi-Groups and Investigate Some Basic Properties, Journal of Engineering and Applied Science 13(18) (2018) 7739-7744.
Year 2019,
Issue: 29, 71 - 78, 30.12.2019
Abstract
References
- L. A. Zadeh, Fuzzy Sets, Information and Control 8 (1965) 338-353.
- S. M. Mostafa, F. F. Kareem, Fuzzy N-fold KU-ideals of KU-algebras, Annals of Fuzzy Mathematics and Informatics 8(6) (2014) 987-1000.
- S. M. Mostafa, M. A. Abd-Elnaby and M. M. M. Yousef, Fuzzy Ideals of KU-Algebras, International Mathematical Forum 6(63) (2011) 3139-3149.
- K. M. Lee, Bipolar-Valued Fuzzy Sets and Their Operations, Proceeding of International Conference on Intelligent Technologies, Bangkok, Thailand, (2000) 307-312.
- K. M. Lee, Comparison of Interval-Valued Fuzzy Sets, Intuitionistic Fuzzy Sets, and Bipolar-Valued Fuzzy sets, Journal of Fuzzy Logic and Intelligent Systems 14 (2004) 125-129.
- S. M. Mostafa, F. F. Kareem, Bipolar Fuzzy N-fold KU-Ideals of KU-Algebras, Mathematica Eterna 4 (2014) 633-650.
- G. Muhiuddin, Bipolar Fuzzy KU-Subalgebras\Ideals of KU-Algebras, Annals of Fuzzy Mathematics and Informatics 8(3) (2014) 409-418.
- A. B. Saeid, Bipolar-Valued Fuzzy BCK\BCI-Algebras, World Applied Sciences Journal 7(11) (2009) 1404-1411.
- C. Prabpayak, U. Leerawat, On Ideals and Congruence in KU-Algebras, Scientia Magna Journal 5(1) (2009) 54-57.
- C. Prabpayak, U. Leerawat, On Isomorphisms of KU-Algebras, Scientia Magna Journal 5(3) (2009) 25-31.
- F. F. Kareem, E. R. Hasan, On KU-Semigroups, International Journal of Science and Nature 9(1) (2018) 79-84.
- E. R. Hasan, F. F. Kareem, Fuzzy KU-Semi-Groups and Investigate Some Basic Properties, Journal of Engineering and Applied Science 13(18) (2018) 7739-7744.
There are 12 citations in total.
Details
| Primary Language | English |
|---|---|
| Subjects | Mathematical Sciences |
| Journal Section | Research Article |
| Authors | |
| Publication Date | December 30, 2019 |
| Submission Date | June 27, 2019 |
| Published in Issue | Year 2019 Issue: 29 |
Cite
|