Results 11 to 20 of about 589 (143)
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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Boolean Products of BL-Algebras
Journal of Mathematical Analysis and Applications, 2000 BL algebras are the Lindenbaum algebras of Hájek's Basic Logic. As shown in \textit{P. Hájek}'s book [Metamathematics of fuzzy logic, Kluwer, Dordrecht, Trends in Logic, Studia Logica Library, Vol. 4 (1998; Zbl 0937.03030)], BL algebras generalize Chang's MV-algebras, symmetric Heyting algebras, and product algebras.
DI NOLA, Antonio +2 more
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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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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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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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Compact representations of BL-algebras
Archive for Mathematical Logic, 2002 In this paper we define sheaf spaces of BL-algebras (or BL-sheaf spaces), we study completely regular and compact BL-sheaf spaces and compact representations of BL-algebras and, finally, we prove that the category of non-trivial BL-algebras is equivalent with the category of compact local BL-sheaf spaces.
DI NOLA, Antonio, L. LEUSTEAN
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CLOSURE OPERATORS ON BL-ALGEBRAS [PDF]
Communications of the Korean Mathematical Society, 2004 Summary: We study relationships between closure operators and BL-algebras. We investigate the properties of closure operators and BL-homomorphisms on BL-algebras. We show that the image of a closure operator on a BL-algebra is isomorphic to a quotient BL-algebra.
Ko, Jung Mi, Kim, Yong Chan
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Demonstratio Mathematica, 2010 AbstractThe class of bipartite pseudo-BL algebras (denoted ...
Andrzej Walendziak +1 more
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Folding Theory of Implicative and Obstinate Ideals in Bl-Algebras
Discussiones Mathematicae - General Algebra and Applications, 2018 In this paper, the concepts of n-fold implicative ideals and n-fold obstinate ideals in BL-algebras are introduced. With respect to this concepts, some related results are given. In particular, it is proved that an ideal is an n-fold implicative ideal if
Paad Akbar
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