Fuzzy Foldness of BCI-Commutative Ideals in BCI - Algebras

Authors

  • M. A. Ahmed

BCK/BCI algebras, BCI commutative ideals of BCI-algebras

Abstract

This paper aims to introduce new notions of (fuzzy) n-fold BCI-commutative ideals, and (fuzzy) n-fold weak BCI-commutative ideals in BCI -algebras, and investigate several properties of foldness theory of BCI-commutative ideals in BCI -algebras. Finally, we construct some algorithms for studying the foldness theory of BCI-commutative ideals in BCI -algebras.

Downloads

How to Cite

Fuzzy Foldness of BCI-Commutative Ideals in BCI - Algebras. (2020). Global Journal of Science Frontier Research, 20(F4), 33-56. https://www.journalofscience.org/index.php/GJSFR/article/view/2727

References

Y Huang, Z Chen (1999) On ideals in BCK-algebra. 50, 211-226.

K Iséki (1975) On ideals in BCK-algebras. 3, 1-12.

K Iséki, S Tanaka (1978) An Introduction to the theory of BCK-algebra. 23, 935-942.

Young Jun (2001) On n‐fold fuzzy implicative/commutative ideals of BCK‐algebras. 27(7), 419-424.

Y Jun (2017) Neutrosophic subalgebras of several types In BCK /BCIalgebras. 14(1), 75-86.

C Lele, Congxin Wu (2001) Generalization of some fuzzy ideals in BCK-algebras. 2, 835-839.

Yong Liu, Jie Meng (2001) Fuzzy ideals in BCI-algebras. 123(2), 227-237.

G Muhiuddin, Seon Kim, Young Jun (2019) Implicative -ideals of BCK-algebras based on neutrosophic -structures. 11(01), 1950011.

G Muhiuddin, Y Jun (2020) Further Results of Neutrosophic subalgebras in BCK/BCI -algebras based on Neutrosophic points. 10(2), 232-240.

J Meng, Y Jun, H Kim (1997) Fuzzy implicative ideals of BCK-algebras. 89, 243-248.

O Xi (1991) Fuzzy BCK-algebras. 36, 935-942.

L Zadeh (1965) Fuzzy sets. 8(3), 338-353.

Fuzzy Foldness of BCI-Commutative Ideals in BCI - Algebras

Published

2020-07-13

How to Cite

Fuzzy Foldness of BCI-Commutative Ideals in BCI - Algebras. (2020). Global Journal of Science Frontier Research, 20(F4), 33-56. https://www.journalofscience.org/index.php/GJSFR/article/view/2727