Results 11 to 20 of about 831 (158)
Kuwait Journal of Science, 2016 This article will introduce K-modal BL-algebra and investigate some properties ofthis new algebra. Consequently, K-modal filters and □-tautology filters as filters ofK-modal BL-algebras will be dealt with.
O Yousefi Kia +2 more
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Inverse topology in BL-algebras
پژوهشهای ریاضی, 2020 In this paper, we introduce Inverse topology in a BL-algebra A and prove the set of all minimal prime filters of A, namely Min(A) with the Inverse topology is a compact space, Hausdorff, T0 and T1-Space.
Fereshteh Forouzesh +2 more
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BL-Algebras with Permuting Tri-Derivations
Journal of New Theory, 2023 Basic logic algebras (BL-algebras) were introduced by Hajek. Multi-value algebras (MV-algebras), Gödel algebras, and product algebras are particular cases of BL-algebras.
Damla Yılmaz
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Tense Operators on BL-algebras and Their Applications
Bulletin of the Section of Logic, 2021 In this paper, the notions of tense operators and tense filters in BL-algebras are introduced and several characterizations of them are obtained. Also, the relation among tense BL-algebras, tense MV-algebras and tense Boolean algebras are investigated ...
Akbar Paad
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Weak Inflationary BL-Algebras and Filters of Inflationary (Pseudo) General Residuated Lattices
Mathematics, 2022 After the research on naBL-algebras gained by the non-associative t-norms and overlap functions, inflationary BL-algebras were also studied as a recent kind of non-associative generalization of BL-algebras, which can be obtained by general overlap ...
Xiaohong Zhang +2 more
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Some Examples of BL-Algebras Using Commutative Rings
Mathematics, 2022 BL-algebras are algebraic structures corresponding to Hajek’s basic fuzzy logic. The aim of this paper is to analyze the structure of BL-algebras using commutative rings. Due to computational considerations, we are interested in the finite case.
Cristina Flaut, Dana Piciu
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On Neutrosophic Filter of BL-algebras
Ratio Mathematica, 2023 The aim of this paper is to introduce the notion of neutrosophic filter in BL- algebras , and several key characteristics are investigated with illustrations.
Ibrahim Abdul, Karunya Helen Gunaseeli S
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Kites and pseudo BL-algebras [PDF]
Algebra universalis, 2014 We investigate a construction of a pseudo BL-algebra out of an $\ell$-group called a kite. We show that many well-known examples of algebras related to fuzzy logics can be obtained in that way. We describe subdirectly irreducible kites. As another application, we exhibit a new countably infinite family of varieties of pseudo BL-algebras covering the ...
Dvurečenskij, Anatolij +1 more
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ON SEMI MAXIMAL FILTERS IN BL-ALGEBRAS [PDF]
Journal of Algebraic Systems, 2019 In this paper, first we study the semi maximal filters in linear $BL$-algebras and we prove that any semi maximal filter is a primary filter. Then, we investigate the radical of semi maximal filters in $BL$-algebras.
Akbar Paad, R. A. Borzooei
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Lifting Elements in Coherent Quantales [PDF]
Transactions on Fuzzy Sets and Systems, 2022 An ideal I of a ring R is a lifting ideal if the idempotents of R can be lifted modulo I. A rich literature has been dedicated to lifting ideals. Recently, new algebraic and topological results on lifting ideals have been discovered.
George Georgescu
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