Mostafa, Samy M. and Kareem, Fatema F.
(2020)
*Discussion on Bipolar Fuzzy n-fold KU-ideal of KU-algebras.*
In:
Theory and Practice of Mathematics and Computer Science Vol. 3.
B P International, pp. 18-32.
ISBN 978-93-90431-35-9

## Abstract

There are several kinds of fuzzy sets extensions in the fuzzy set theory, for example, intuitionistic fuzzy sets,

interval valued fuzzy sets, vague sets etc. In this Chapter, we apply the notion of a bipolar fuzzy n-fold KU-ideal

of KU-algebras. We introduce the concept of a bipolar fuzzy n-fold KU-ideal and investigate several properties.

Bipolar-valued fuzzy sets are an extension of fuzzy sets whose membership degree range is enlarged from the

interval [0, 1] to [-1, 1]. Also, we give relations between a bipolar fuzzy n-fold KU-ideal and an n-fold KUideal.

The image and the inverse image of bipolar fuzzy n-fold KU-ideals in KU-algebras are defined and how

the image and the inverse image of bipolar fuzzy n-fold KU-ideals in KU-algebras become bipolar fuzzy n-fold

KU-ideals are studied. Moreover, the Cartesian product of bipolar fuzzy n-fold KU-ideals in Cartesian product

KU-algebras is given.

Item Type: | Book Section |
---|---|

Subjects: | Eprint Open STM Press > Computer Science |

Depositing User: | Unnamed user with email admin@eprint.openstmpress.com |

Date Deposited: | 17 Nov 2023 04:22 |

Last Modified: | 17 Nov 2023 04:22 |

URI: | http://library.go4manusub.com/id/eprint/1652 |