Results 51 to 60 of about 662 (160)
Mp- and purified residuated lattices
Soft Computing, 2022 Abstract In this paper, a combination of algebraic and topological methods is applied to obtain new and structural results on mp and purified residuated lattices. It is demonstrated that mp-residuated lattices strongly tied up with the dual hull-kernel topology.
Saeed Rasouli, Amin Dehghani
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Neutrosophic Pseudo-t-Norm and Its Derived Neutrosophic Residual Implication [PDF]
Neutrosophic Sets and Systems, 2023 First of all, on the basis of complete lattice, the concept of neutrosophic pseudo-t-norm (NPT) is given. Definitions and examples of representable neutrosophic pseudo-t-norms (RNPTs) are given, while unrepresentable neutrosophic pseudo-t-norms (UNPTs ...
Hongru Bu, Qingqing Hu, Xiaohong Zhang
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Archimedean Residuated Lattices
Annals of the Alexandru Ioan Cuza University - Mathematics, 2010 Summary: For a residuated lattice \(A\) we denote by \(D_s(A)\) the lattice of all deductive systems (congruence filters) of \(A\). The aim of this paper is to put in evidence new characterizations for maximal and prime elements of \(D_s(A)\) and to characterize Archimedean and hyperarchimedean residuated lattices; so we prove some theorems of Nachbin ...
Buşneag, Dumitru +2 more
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The sheaf representation of residuated lattices
, 2023 The residuated lattices form one of the most important algebras of fuzzylogics and have been heavily studied by people from various different points ofview. Sheaf presentations provide a topological approach to many algebraicstructures. In this paper, we
Zhao, Dongsheng, Zhang, Huarong
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Some decompositions of filters in residuated lattices
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2019 In this paper we introduce a new class of residuated lattice: residuated lattice with (C∧&→) property and we prove that (C∧&→) ⇔ (C→) + (C∧).Also, we introduce and characterize C→, C∨, C∧ and C∧ & → filters in residuated lattices (i.e., we characterize ...
Piciu Dana +2 more
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Interior and Closure Operators on Commutative Bounded Residuated Lattices [PDF]
, 2013 summary:Commutative bounded integral residuated lattices form a large class of algebras containing some classes of algebras behind many valued and fuzzy logics.
Rachůnek, Jiří, Svoboda, Zdeněk
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Kernels of Residuated Maps as Complete Congruences in Lattices
International Journal of Computational Intelligence Systems, 2020 In a context of lattice-valued functions (also called lattice-valued fuzzy sets), where the codomain is a complete lattice L, an equivalence relation defined on L by the equality of related cuts is investigated.
Branimir Šešelja, Andreja Tepavčević
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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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, 2023 We characterize all residuated lattices that have height equal to 3 and show that the variety they generate has continuum-many subvarieties. More generally, we study unilinear residuated lattices: their lattice is a union of disjoint incomparable chains,
Zhuang, Xiao
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Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2019 In this paper, we define residuated skew lattice as non-commutative generalization of residuated lattice and investigate its properties. We show that Green’s relation 𝔻 is a congruence relation on residuated skew lattice and its quotient algebra is a ...
Saeid Arsham Borumand +1 more
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