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Neutrosophic ideals of neutrosophic ku-algebras
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In this paper, the concept of a neutrosophic KU-algebra is introduced and some related properties are investigated. Also, neutrosophic KU-ideals of a neutrosophic KU-algebra are studied and a few properties are obtained. Furthermore, a few results of neutrosophic KU-ideals of a neutrosophic KU-algebra under homomorphism are discussed

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Publication Date
Thu Jan 01 2015
Journal Name
J. Math. Comput. Sci.
INTERVAL VALUE FUZZY n-FOLD KU-IDEALS OF KU-ALGEBRAS
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In this paper, we will introduce the concept of interval value fuzzy n-fold KU-ideal in KU-algebras, which is a generalization of interval value fuzzy KU-ideal of KU-algebras and we will obtain few properties that is similar to the properties of interval value fuzzy KU-ideal in KU-algebras, see [8]. Also, we construct some algorithms for folding theory applied to KU-ideals in KU-algebras.

Publication Date
Thu Feb 01 2024
Journal Name
Annals Of Fuzzy Mathematics And Informatics
Γ-KU-algebras
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In this paper, we introduce the concepts of positive implicative [resp. implicative and commutative] Γ-KU-algebras, and obtain their some properties (including characterizations) respectively and some relationships among them. Next, we propose the notions of positive implicative [resp. implicative and commutative] Γ-ideals of a Γ-KU-algebra, and deal with their some properties (including characterizations) respectively and some relationships among them. Finally, we define a topological Γ-KU-algebra and discuss its various topological structures.

Publication Date
Fri Jan 20 2023
Journal Name
Ibn Al-haitham Journal For Pure And Applied Sciences
Cubic Ideals of TM-algebras
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For the generality of fuzzy ideals in TM-algebra, a cubic ideal in this algebra has been studied, such as cubic ideals and cubic T-ideals. Some properties of these ideals are investigated. Also, we show that the cubic T-ideal is a cubic ideal, but the converse is not generally valid. In addition, a cubic sub-algebra is defined, and new relations between the level subset and a cubic sub-algebra are discussed. After that, cubic ideals and cubic T-ideals under homomorphism are studied, and the image (pre-image) of cubic T-ideals is discussed. Finally, the Cartesian product of cubic ideals in Cartesian product TM-algebras is given. We proved that the product of two cubic ideals of the Cartesian product of two TM-algebras is also a cubic ideal.

Publication Date
Wed Jan 01 2014
Journal Name
Mathematica Aeterna
Bipolar fuzzy n-fold KU-ideal of KU-algebras
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In this paper, 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. Also, we give relations between a bipolar fuzzy n- fold KU-ideal and n-fold KU-ideal. The image and the pre-image of bipolar fuzzy n-fold KU-ideals in KU-algebras are defined and how the image and the pre- image of bipolar fuzzy n-fold KU-ideals in KU-algebras become bipolar fuzzy n- fold KU-ideals are studied. Moreover, the product of bipolar fuzzy n-fold KU- ideals in Cartesian product KU-algebras is given.

Publication Date
Wed Jan 01 2014
Journal Name
International Journal Of Algebra
N-Fold Commutative KU-Algebras
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Publication Date
Sun Jan 01 2023
Journal Name
Aip Conference Proceedings
Bipolar fuzzy ideals of TM-algebras
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The concept of bipolar fuzzy ideals in a TM-algebra was introduced and some properties of these ideals are investigated. Also, a few relations between a bipolar fuzzy ideal and T-ideal are discussed. A new bipolar fuzzy set with a homomorphism of TM-algebra is defined. The Cartesian product of bipolar fuzzy T-ideals in Cartesian product TM-algebras is given.

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Publication Date
Sat Oct 21 2017
Journal Name
Journal Of New Theory
Cubic hyper KU-ideals
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It is known that, the concept of hyper KU-algebras is a generalization of KU-algebras. In this paper, we define cubic (strong, weak,s-weak) hyper KU-ideals of hyper KU-algebras and related properties are investigated.

Publication Date
Sat Nov 07 2020
Journal Name
Theory And Practice Of Mathematics And Computer Science
Discussion on Bipolar Fuzzy n-fold KU-ideal of KU-algebras
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Publication Date
Sun Jan 01 2017
Journal Name
Journal Of Hyperstructures
HYPER STRUCTURE THEORY APPLIED TO KU-ALGEBRAS
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In this paper, the concept of a hyper structure KU-algebra is introduced and some related properties are investigated. Also, some types of hyper KU-algebras are studied and the relationship between them is stated. Then a hyper KU-ideal of a hyper structure KU-algebra is studied and a few properties are obtained. Furthermore, the notion of a homomorphism is discussed.

Publication Date
Mon Feb 01 2021
Journal Name
Journal Of Physics: Conference Series
Cubic ideals of semigroup in KU-algebra
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Abstract<p>In this work, we study of the concept of a cubic set of a semigroup in KU-algebra. Firstly, we study a cubic sub KU-semigroup and achieve some results in this notion. And then, we get a relation between a cubic sub KU-semi group and a level set of a cubic set. Moreover, we define some cubic ideals of this structure and we found relationships between these ideals.</p><p>2010 AMS Classification. 08A72, 03G25, 06F35</p>
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