Results 21 to 30 of about 589 (143)
The Reticulation of a Universal Algebra [PDF]
Scientific Annals of Computer Science, 2018 The reticulation of an algebra A is a bounded distributive lattice L(A) whose prime spectrum of filters or ideals is homeomorphic to the prime spectrum of congruences of A, endowed with the Stone topologies.
G. Georgescu, C. Mureșan
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The Structure of the Block Code Generated by a BL-Algebra
Mathematics, 2022 Inspired by the concept of BL-algebra as an important part of the ordered algebra, in this paper we investigate the binary block code generated by an arbitrary BL-algebra and study related properties.
Hashem Bordbar
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Discrete Mathematics, 2003 The notion of a BL-algebra was defined and studied by \textit{P. Hájek} [Metamathematics of fuzzy logic. Kluwer, Dordrecht (1998; Zbl 0937.03030)]. A BL-algebra is an algebraic structure \(\mathcal A=(A;\wedge, \vee,\odot, \rightarrow, 0,1)\) of type \((2,2,2,2,0,0)\) satisfying certain axioms; from these it follows that \((A;\wedge,\vee, 0,1)\) is a ...
DI NOLA, Antonio, A. LETTIERI
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Soft Computing, 2010 The concept of a state MV-algebra was firstly introduced by Flaminio and Montagna in \cite{FlMo0} and \cite{FlMo} as an MV-algebra with internal state as a unary operation. Di Nola and Dvure enskij gave a stronger version of a state MV-algebra in \cite{DiDV1}, \cite{DiDV2}.
Ciungu, Lavinia Corina +2 more
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Pseudo General Overlap Functions and Weak Inflationary Pseudo BL-Algebras
Mathematics, 2022 General overlap functions are generalized on the basis of overlap functions, which have better application effects in classification problems, and the (weak) inflationary BL-algebras as the related algebraic structure were also studied.
Rong Liang, Xiaohong Zhang
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Discussiones Mathematicae - General Algebra and Applications, 2011 In this paper, we introduce the notion of a bi-BL-algebra, bi-filter, bideductive system and bi-Boolean elements of a bi-BL-algebra and deal with bi-filters in bi-BL-algebra. We study this structure and construct the quotient of bi-BL-algebra. Also present a classification for examples of proper bi-BL-algebras.
Mahdeieh Abbasloo, Arsham Saeid
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On Fuzzy Ideals of BL-Algebras
The Scientific World Journal, 2014 In this paper we investigate further properties of fuzzy ideals of a BL-algebra. The notions of fuzzy prime ideals, fuzzy irreducible ideals, and fuzzy Gödel ideals of a BL-algebra are introduced and their several properties are investigated.
Biao Long Meng, Xiao Long Xin
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Further Complete Solutions to Four Open Problems on Filter of Logical Algebras
International Journal of Computational Intelligence Systems, 2019 This paper focuses on the investigation of filters of pseudo BCK-algebra and BL-algebra, important and popular generic commutative and non-commutative logical algebras.
Wei Wang, Pengxi Yang, Yang Xu
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Filomat, 2018 We put forth the concept of hyper BL-algebras which is a generalization of BL-algebras. We give some non-trivial examples and properties of hyper BL-algebras. Moreover, we introduce weak filters and weak deductive systems of hyper BL-algebras and study the relationships between them.
Xin, Xiao Long +2 more
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Hyper Rl-Ideals in Hyper Residuated Lattices
Discussiones Mathematicae - General Algebra and Applications, 2022 In this paper, we introduce the notion of a (strong) hyper RL-ideal in hyper residuated lattices and give some properties and characterizations of them.
Bakhshi Mahmood
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