Hyper Fuzzy AT-ideals of AT-algebra
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Publication Date
Fri May 01 2020
Journal Name
Journal Of Physics: Conference Series
Hyper AT-ideal on AT-algebra
Abstract<p>In this paper is to introduce the concept of hyper AT-algebras is a generalization of AT-algebras and study a hyper structure AT-algebra and investigate some of its properties. “Also, hyper AT-subalgebras and hyper AT-ideal of hyper AT-algebras are studied. We study on the fuzzy theory of hyper AT-ideal of hyper AT-algebras hyper AT-algebra”. “We study homomorphism of hyper AT-algebras which are a common generalization of AT-algebras.</p>
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Publication Date
Sat May 01 2021
Journal Name
Journal Of Physics: Conference Series
Interval value fuzzy hyper AT-algebras
Abstract<p>The aim of this work is to a connection between two concepts which are an interval value fuzzy set and a hyper AT-algebra. Also, some properties of these concepts are found. The notions of IVF hyper AT-subalgebras, IVF hyper ideals and IVF hyper AT-ideals are defined. Then IVF (weak, strong) hyper ideals and IVF (weak, strong) hyper AT-ideals are discussed. After that, some relations among these ideals are presented and some interesting theorems are proved.</p>
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Publication Date
Wed Nov 01 2023
Journal Name
Journal Of Interdisciplinary Mathematics
Interval valued fuzzy ideals of TM-algebra
TM-algebra
Fuzzy T-ideal
Interval value fuzzy T-ideal.
We introduce the notion of interval value fuzzy ideal of TM-algebra as a generalization of a fuzzy ideal of TM-algebra and investigate some basic properties. Interval value fuzzy ideals and T-ideals are defined and several examples are presented. The relation between interval value fuzzy ideal and fuzzy T-ideal is studied. Abstract We introduce the notion of interval value fuzzy ideal of TM-algebra as a generalization of a fuzzy ideal of TM-algebra and investigate some basic properties. Interval value fuzzy ideals and T- ideals are defined and several examples are presented. The relation between interval value fuzzy ideal and fuzzy T-ideal is studied.
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Publication Date
Sat May 01 2021
Journal Name
Journal Of Physics: Conference Series
Generalizations of Fuzzy k-ideals in a KU-algebra with Semigroup
Abstract<p>We present the notion of bipolar fuzzy k-ideals with thresholds (<italic>θ, λ</italic>) of a KU-algebra with semigroup and give some basic properties of this ideal. Also, we study some relations about a bipolar fuzzy k-ideal with thresholds (<italic>θ, λ</italic>) and a k-ideal of a KU-semigroup.</p>
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Publication Date
Sat Oct 21 2017
Journal Name
Journal Of New Theory
Cubic hyper KU-ideals
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
Wed Apr 20 2022
Journal Name
Ibn Al Haitham Journal For Pure And Applied Sciences
Cubic Bipolar Fuzzy Ideals with Thresholds ($α$, $β$), ( 𝛚 ,𝛝) of a Semigroup in KU-algebra
In this paper, we introduce the concept of cubic bipolar-fuzzy ideals with thresholds (α,β),(ω,ϑ) of a semigroup in KU-algebra as a generalization of sets and in short (CBF). Firstly, a (CBF) sub-KU-semigroup with a threshold (α,β),(ω,ϑ) and some results in this notion are achieved. Also, (cubic bipolar fuzzy ideals and cubic bipolar fuzzy k-ideals) with thresholds (α,β),(ω ,ϑ) are defined and some properties of these ideals are given. Relations between a (CBF).sub algebra and-a (CBF) ideal are proved. A few characterizations of a (CBF) k-ideal with thresholds (α, β), (ω,ϑ) are discussed. Finally, we proved that a (CBF) k-ideal and a (CBF) ideal with thresholds (α, β), (ω,ϑ) of a KU-semi group are equivalent relations.
Publication Date
Wed Jan 01 2025
Journal Name
Journal Of Discrete Mathematical Sciences And Cryptography
Cubic intuitionistic ideals of a TM-algebra
This study investigated the cubic intuitionistic fuzzy set of TM-algebra as a generalization of the cubic set. First, a cubic intuitionistic ideal and a cubic intuitionistic T-ideal are defined, followed by a discussion of their properties. Furthermore, the level set of a cubic intuitionistic TM-algebra is defined, and the relationship between a cubic intuitionistic level set and the cubic intuitionistic T-ideal is established. A novel definition of a cubic intuitionistic set under homomorphism is proposed, and several significant results are demonstrated.
Publication Date
Mon Feb 01 2021
Journal Name
Journal Of Physics: Conference Series
Cubic ideals of semigroup in KU-algebra
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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Publication Date
Wed Jan 01 2025
Journal Name
Journal Of Discrete Mathematical Sciences And Cryptography
Cubic bipolar ideals of a TM-algebra
This paper refers to studying some types of ideals, specifically cubic bipolar ideals and cubic bipolar T-ideals of TM algebra. It also introduces a cubic bipolar sub-TM-algebra and several important properties of these concepts. The relationships between these ideals and characterizations of cubic bipolar T-ideals are investigated.
Publication Date
Thu Apr 03 2025
Journal Name
Aip Conference Proceedings
The left-right derivation of an AT-algebra
an AT-algebra
a derivation
a fuzzy derivation
a level derivation.
This work aims to introduce the concepts of left and right derivations in an AT-algebra and discuss some interesting theorems of these concepts. Also, a fuzzy derivation of an AT-subalgebra, a fuzzy right (left) derivation ideal, a fuzzy derivation of AT-subalgebra, and a fuzzy right (left) derivation ideal are studied. Finally, a level derivation of AT-algebras is defined and some propositions are achieved.