Results 21 to 30 of about 612 (145)
Central extensions of preordered groups
, 2023 We prove that the category of preordered groups contains two full reflective subcategories that give rise to some interesting Galois theories. The first one is the category of the so-called commutative objects, which are precisely the preordered groups ...
Michel, Aline, Gran, Marino
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Order compatibility for Cauchy spaces and convergence spaces
International Journal of Mathematics and Mathematical Sciences, 1987 A Cauchy structure and a preorder on the same set are said to be compatible if both arise from the same quasi-uniform convergence structure on X. Howover, there are two natural ways to derive the former structures from the latter, leading to strong and
D. C. Kent, Reino Vainio
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Normally preordered spaces and continuous multi-utilities
Applied General Topology, 2016 We study regular, normal and perfectly normal preorders by referring to suitable assumptions concerning the preorder and the topology of the space. We also present conditions for the existence of a countable continuous multi-utility representation, hence
Gianni Bosi +2 more
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Preorders in Simple Games [PDF]
, 2017 Any power index defines a total preorder in a simple game and, thus, induces a hierarchy among its players. The desirability relation, which is also a preorder, induces the same hierarchy as the Banzhaf and the Shapley indices on linear games, i.e., games in which the desirability relation is total.
Freixas Bosch, Josep +1 more
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Toward a theory of monomial preorders [PDF]
Mathematics of Computation, 2017 In this paper we develop a theory of monomial preorders, which differ from the classical notion of monomial orders in that they allow ties between monomials. Since for monomial preorders, the leading ideal is less degenerate than for monomial orders, our results can be used to study problems where monomial orders fail to give a solution.
Gregor Kemper +2 more
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Preordered forests, packed words and contraction algebras
, 2013 42 pagesWe introduce the notions of preordered and heap-preordered forests, generalizing the construction of ordered and heap-ordered forests. We prove that the algebras of preordered and heap-preordered forests are Hopf for the cut coproduct, and we ...
Mansuy, Anthony
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Lifting Theorems for Continuous Order-Preserving Functions and Continuous Multi-Utility
Axioms, 2023 We present some lifting theorems for continuous order-preserving functions on locally and σ-compact Hausdorff preordered topological spaces. In particular, we show that a preorder on a locally and σ-compact Hausdorff topological space has a continuous ...
Gianni Bosi, Magalì Zuanon
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Applied General Topology, 2000 We characterize the existence of a real continuous order-preserving function on a topological preordered space, under the hypotheses that the topological space is normal and the preorder satisfies a strong continuity assumption, called IC-continuity ...
Gianni Bosi, R. Isler
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On Interval-Valued Fuzzy Soft Preordered Sets and Associated Applications in Decision-Making
Mathematics, 2021 Recently, using interval-valued fuzzy soft sets to rank alternatives has become an important research area in decision-making because it provides decision-makers with the best option in a vague and uncertain environment. The present study aims to give an
Mabruka Ali, Adem Kılıçman
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Exact Unification and Admissibility [PDF]
Logical Methods in Computer Science, 2015 A new hierarchy of "exact" unification types is introduced, motivated by the study of admissible rules for equational classes and non-classical logics.
George Metcalfe, Leonardo Cabrer
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