Bipolar Fuzzy Pseudo-UP Ideal Of Pseudo-UP Algebra [version 1; peer review: 2 approved, 1 approved with reservations]

Bipolar Fuzzy Pseudo-UP Ideal Of Pseudo-UP Algebra [version 1; peer review: 2 approved, 1 approved with reservations]

In this paper, we apply the concept of bipolar fuzzy sets to pseudo-UP ideals in pseudo-UP algebras. We prove that the intersection of two bipolar fuzzy pseudo-UP ideals is also a bipolar fuzzy pseudo-UP ideal, while the union of two such ideals does not always result in a bipolar fuzzy pseudo-UP id...

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Bibliographic Details
Main Authors: Berhanu Assaye Alaba, Alachew Amaneh Mechderso, Teferi Getachew Alemayhu, Tilahun Mekonnen Munie
Format: Article
Language:English
Published: F1000 Research Ltd 2024-11-01
Series:F1000Research
Subjects:
Pseudo-UP algebra
pseudo-UP ideal
Fuzzy pseudo-UP ideal
bipolar Fuzzy pseudo- UP ideal
eng
Online Access:https://f1000research.com/articles/13-1386/v1
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Summary:In this paper, we apply the concept of bipolar fuzzy sets to pseudo-UP ideals in pseudo-UP algebras. We prove that the intersection of two bipolar fuzzy pseudo-UP ideals is also a bipolar fuzzy pseudo-UP ideal, while the union of two such ideals does not always result in a bipolar fuzzy pseudo-UP ideal. Additionally, we discuss the concepts of bipolar fuzzy pseudo-UP ideals under homomorphism and explore several related properties. The homomorphic image and inverse image of bipolar fuzzy pseudo-UP ideals in a pseudo-UP algebra are also examined in detail. Furthermore, we study the notion of a bipolar fuzzy pseudo-UP ideal under the Cartesian product of pseudo-UP algebra. The Cartesian product of any two bipolar fuzzy pseudo-UP ideals is also the bipolar fuzzy pseudo-UP ideal of pseudo-UP algebra, and then some related results are obtained. MSC: 03G25, 06D30.
ISSN:2046-1402

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