Journal of Algebraic Hyperstructures and Logical Algebras
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ارسال های اخیر
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Similarity operations on equality algebras
(University of Hatef, 2025-06-01)In this paper, we apply the concept of similarity operations to equality algebras and introduce similarity equality algebras. We investigate some related properties of them. In particular, we prove that there is a one to ...
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Note on quotient structures of CKL-algebras
(University of Hatef, 2025-06-01)In this paper, we consider properties of quotient CKL-algebras by three types of ideals such as positive implicative, commutative and implicative. We show that (1) the class of all positive implicative ideals is identical ...
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Linear Diophantine fuzzy BE-algebras
(University of Hatef, 2025-06-01)With the intention of applying linear Diophantine fuzzy sets to (logical) algebraic structures, in particular BE-algebra, the concept of weak linear Diophantine fuzzy BE-algebras is introduced, and its related properties ...
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Structure and order: A concise overview of ordered semi(hyper)groups
(University of Hatef, 2025-06-01)This paper explores a hierarchy of algebraic structures beginning with ordered semigroups and extending through their generalizations and fuzzifications. An ordered semigroup is a semigroup equipped with a partial order ...
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Topology on Hoop algebras
(University of Hatef, 2025-06-01)In this paper, we construct a topology using the concept of Hoop algebras and investigate its topological properties. These include examining specific types of topological spaces, such as Hausdorff, $T_0$-spaces, and ...
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m and n-systems in BCI-algebras
(University of Hatef, 2025-06-01)The aim of this paper is to introduce the concepts of m-systems and n-systems in BCI-algebras. These concepts are related to the concepts of prime ideals and ∧-closed systems play an important role in studying the structure ...
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MBJ-Neutrosophic Sets: Expanding on Internal and External Relations
(University of Hatef, 2025-06-01)This paper presents a comprehensive study of internal and external MBJ-neutrosophic sets, detailing their definitions, properties, and potential applications. By Initially introducing foundational concepts, including ...
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A generalization of Z◦ -ideals in MV -algebras
(University of Hatef, 2025-06-01)This paper introduces Z◦J -ideals in MV -algebras, extending the concept of Z◦ -ideals. Additionally, a broader class of Z◦J -ideals, known as Z◦NJ -ideals, is defined. We then proceed to explore the relationships between ...
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A new approach to approximations in lattices
(University of Hatef, 2025-06-01)In this paper, we combine the notions of near sets and lattices. We initiate the study of near approximation in a lattice. Then we investigate nearness approximation space in upper rough ideals and lower rough ideals. In ...
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Filter theory in equality algebras based on fuzzy points
(University of Hatef, 2025-06-01)Using the fuzzy points, the concept of (∈, ∈)-fuzzy filters of equality algebras is introduced, and related properties are investigated. Characterizations of (∈, ∈)-fuzzy filters are explored, and the conditions under which ...
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Implicative filters of equality algebras treated as fuzzy points
(University of Hatef, 2025-06-01)The notion of fuzzy points is used to study implicative filters in equality algebras. The concept of implicative (∈, ∈)-fuzzy filters is introduced, and its properties are investigated. The relationship between (∈, ∈)-fuzzy ...
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Classification of states on certain orthomodular structures
(University of Hatef, 2025-06-01)We define various types of states on implicative involutive BE-algebras (Jauch-Piron state, (P)-state, (B)-state, subadditive state, valuation), and we investigate the relationships between these states. Moreover, we ...
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On Kreb Algebras
(University of Hatef, 2024-10-01)In this paper, kreb algebras are introduced. It is shown that that the class of kreb algebras is a wider class than the class of BCI algebras. Properties of kreb algebras are presented. A new binary relation different from ...
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State radical ideals in state MV-algebras
(University of Hatef, 2024-10-01)In this paper, the notions of prime state ideals and state semi-maximal ideals of state MV -algebras are introduced. We prove prime state ideal theorem and we show that a state MV -algebra A is semi-simple if and only if ...
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An algorithm to calculate the members of the relation $\beta$ in hypergroupoids
(University of Hatef, 2024-10-01)In this paper, we generalize the definition of the relation $\beta$ for hypergroupoids. Also, we presents new theorems for calculating the members of the relation $\beta$ and by using new theorems, we provide algorithms ...
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Structure and Behavior of Graph Automata Based on the Monopoly-Forcing Set
(University of Hatef, 2024-10-01)In this note, we show that automata theory is a suitable tool for analyzing monopoly-forcing processes. Also, we present the notion of mono-forcing automata by using the monopoly-forcing set for graphs. Moreover, we prove ...
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Intuitionistic soft (positive) implicative L-prefilters of EQ-algebras
(University of Hatef, 2024-10-01)In this paper, by considering soft set theory, lattice theory and filter theory of EQ-algebras, we introduce the concepts of intuitionistic soft positive implicative L-prefilter and intuitionistic soft implicative L-prefilter. ...
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A study of BL-algebras by co-zero divisors
(University of Hatef, 2024-10-01)In this paper, we delve into the set of co-zero divisors in a BL−algebra and explore their properties. We used these elements for a new classification of BL−algebras. The main result establishes that the set of all co-zero ...
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Flexible RM-algebras
(University of Hatef, 2024-10-01)We introduce and investigate the concept of flexibility in a groupoid, and extend it to RM-algebras, and present several examples and these properties. We observe that condition flexibility is strong, and most known algebras ...
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Helix-hyperproduct on n × (n + 1) matrices
(University of Hatef, 2024-10-01)The helix-hyperoperations, hyper-sum and hyperproduct, are defined on any type of ordinary matrices. Thus, they overcome restrictions which ordinary sum and product on matrices have. We focus on the representation theory ...
