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Continuity in Partially Ordered Sets [PDF]
International Journal of Mathematics and Mathematical Sciences, 2008 The notion of a continuous domain is generalized to include posets which are not dcpos and in which the set of elements way below an element is not necessarily directed. We show that several of the pleasing algebraic and topological properties of domains
Venu G. Menon
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Model selection over partially ordered sets. [PDF]
Proc Natl Acad Sci U S AIn problems such as variable selection and graph estimation, models are characterized by Boolean logical structure such as the presence or absence of a variable or an edge. Consequently, false-positive error or false-negative error can be specified as the number of variables/edges that are incorrectly included or excluded in an estimated model. However,
Taeb A, Bühlmann P, Chandrasekaran V.
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The Fuzzy Prime Spectrum of Partially Ordered Sets
International Journal of Mathematics and Mathematical Sciences, 2023 We study the space of prime fuzzy ideals (and the space of maximal fuzzy ideals as a subspace) equipped with the hull-kernel topology in partially ordered sets.
Derso Abeje Engidaw +5 more
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An Efficient Algorithm for Decomposition of Partially Ordered Sets
Journal of Mathematics, 2023 Efficient time complexities for partial ordered sets or posets are well-researched field. Hopcroft and Karp introduced an algorithm that solves the minimal chain decomposition in O (n2.5) time. Felsner et al.
Elsayed Badr +3 more
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An Integer Linear Programming Model for Partially Ordered Sets
Journal of Mathematics, 2022 Linear programming is an important approach that is used to represent a large class of combinatorial optimization problems. The simplex algorithm is one of the algorithms for solving linear programming problems with exponential time complexity ...
Elsayed Badr +3 more
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A Notion of Convergence in Fuzzy Partially Ordered Sets
Mathematics, 2020 The notion of sequential convergence in fuzzy partially ordered sets, under the name oF-convergence, is well known. Our aim in this paper is to introduce and study a notion of net convergence, with respect to the fuzzy order relation, named o-convergence,
Dimitrios Georgiou +2 more
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Orthomodular Lattices Induced by the Concurrency Relation [PDF]
Electronic Proceedings in Theoretical Computer Science, 2009 We apply to locally finite partially ordered sets a construction which associates a complete lattice to a given poset; the elements of the lattice are the closed subsets of a closure operator, defined starting from the concurrency relation. We show that,
Luca Bernardinello +2 more
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On the cardinality of layers in some partially ordered sets
Учёные записки Казанского университета: Серия Физико-математические науки, 2020 In this paper, we explicitly calculated additional terms of cardinality asymptotics of layers in the n-dimensional k-valued lattice Enk for odd k as n → ∞. The main term had been previously determined by V.B.
T.V. Andreeva, Yu.S. Semenov
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Some Common Fixed Point Theorems in Partially Ordered Sets
Journal of Applied Mathematics, 2020 The purpose of this paper is to prove some new fixed point theorem and common fixed point theorems of a commuting family of order-preserving mappings defined on an ordered set, which unify and generalize some relevant fixed point theorems.
Khadija Bouzkoura, Said Benkaddour
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Representations of bornologies
Applied General Topology, 2022 Bornologies abstract the properties of bounded sets of a metric space. But there are unbounded bornologies on a metric space like $\mathcal{P}(\RR)$ with the Euclidean metric.
Homeira Pajoohesh
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