Bipolar Fuzzy k-Ideals in KU-Semigroups

Fatema Kareem; Elaf Raad Hasan

EN

Bipolar Fuzzy k-Ideals in KU-Semigroups

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.

Keywords

KU-algebra,KU-semigroup,fuzzy S-ideal,bipolar fuzzy S-ideal,bipolar fuzzy k-ideal

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.

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

Fatema Kareem ^*
Iraq

Elaf Raad Hasan This is me
Iraq

Publication Date

December 30, 2019

Submission Date

June 27, 2019

Acceptance Date

October 16, 2019

Published in Issue

Year 2019 Number: 29

IZ

https://izlik.org/JA75FT69ZZ

Cite

RIS / Bibtex

APA

Kareem, F., & Hasan, E. R. (2019). Bipolar Fuzzy k-Ideals in KU-Semigroups. Journal of New Theory, 29, 71-78. https://izlik.org/JA75FT69ZZ

AMA

1.Kareem F, Hasan ER. Bipolar Fuzzy k-Ideals in KU-Semigroups. JNT. 2019;(29):71-78. https://izlik.org/JA75FT69ZZ

Chicago

Kareem, Fatema, and Elaf Raad Hasan. 2019. “Bipolar Fuzzy K-Ideals in KU-Semigroups”. Journal of New Theory, nos. 29: 71-78. https://izlik.org/JA75FT69ZZ.

EndNote

Kareem F, Hasan ER (December 1, 2019) Bipolar Fuzzy k-Ideals in KU-Semigroups. Journal of New Theory 29 71–78.

IEEE

[1]F. Kareem and E. R. Hasan, “Bipolar Fuzzy k-Ideals in KU-Semigroups”, JNT, no. 29, pp. 71–78, Dec. 2019, [Online]. Available: https://izlik.org/JA75FT69ZZ

ISNAD

Kareem, Fatema - Hasan, Elaf Raad. “Bipolar Fuzzy K-Ideals in KU-Semigroups”. Journal of New Theory. 29 (December 1, 2019): 71-78. https://izlik.org/JA75FT69ZZ.

JAMA

1.Kareem F, Hasan ER. Bipolar Fuzzy k-Ideals in KU-Semigroups. JNT. 2019;:71–78.

MLA

Kareem, Fatema, and Elaf Raad Hasan. “Bipolar Fuzzy K-Ideals in KU-Semigroups”. Journal of New Theory, no. 29, Dec. 2019, pp. 71-78, https://izlik.org/JA75FT69ZZ.

Vancouver

1.Fatema Kareem, Elaf Raad Hasan. Bipolar Fuzzy k-Ideals in KU-Semigroups. JNT [Internet]. 2019 Dec. 1;(29):71-8. Available from: https://izlik.org/JA75FT69ZZ