Results 1 to 10 of about 74 (74)
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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On (⊙, ∨)-derivation for BL-algebras [PDF]
Journal of Hyperstructures, 2013 In this paper, we define the concept of (⊙, ∨)-derivations for BL-algebras and discuss some related results. We study this derivation on boolean center B(A) of a BL-algebra A.
L. Torkzadeh, L. Abbasian
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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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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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Gődel filters in residuated lattices
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2021 In this paper, in the spirit of [4], we study a new type of filters in residuated lattices : Gődel filters. So, we characterize the filters for which the quotient algebra that is constructed via these filters is a Gődel algebra and we establish the ...
Piciu Dana +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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Properties of an anti vague filter in BL-algebras
Ratio Mathematica, 2021 In this paper, we introduce the notion of an anti vague filter of a BL-algebra with illustration, and obtain some related properties. Further, we investigate some equivalent conditions of anti vague filter.
Yahya Mohamed
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WEAKLY PRIME AND SUPER-MAX FILTERS IN BL-ALGEBRAS [PDF]
Journal of Algebraic Systems, 2023 In this paper, the concepts of weakly prime filters and super-max filters in $\mathrm{BL}$-algebras are introduced, and the relationships between them are discussed.
Javad Moghaderi, Somayeh Motamed
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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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Semitopological BL-Algebras and MV -Algebras
Demonstratio Mathematica, 2014 In this paper, by considering the notion of upsets, for any element x of a BL-algebra L, we construct a topology Tx on L and show that L-algebras with this topology formes a semitopological BL-algebras.
Zahiri O., Borzooei R. A.
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