Existence of Order-Preserving Functions for Nontotal Fuzzy Preference Relations under Decisiveness [PDF]
Axioms, 2017 Looking at decisiveness as crucial, we discuss the existence of an order-preserving function for the nontotal crisp preference relation naturally associated to a nontotal fuzzy preference relation.
Paolo Bevilacqua +2 more
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Lifting Theorems for Continuous Order-Preserving Functions and Continuous Multi-Utility [PDF]
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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The arity gap of order-preserving functions and extensions of pseudo-Boolean functions [PDF]
Discrete Applied Mathematics, 2012 The aim of this paper is to classify order-preserving functions according to their arity gap. Noteworthy examples of order-preserving functions are so-called aggregation functions. We first explicitly classify the Lovász extensions of pseudo-Boolean functions according to their arity gap. Then we consider the class of order-preserving functions between
Miguel Couceiro +2 more
exaly +8 more sources
Symmetric 2×2 matrix functions with order preserving property [PDF]
Opuscula MathematicaIt is known that the discrete matrix Riccati equation has the order preserving property under some assumptions. In this paper we formulate and prove the converse statement for the case when the dimensions of the matrices are \(2 \times 2\) and the order ...
Viera Štoudková Růžičková
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Order-Preserving and Order-Reversing Mappings between Consumption Bundles and Utilities [PDF]
Complexity, 2021 Economics and management believe that income and price play decisive roles in consumer demand for commodities. However, there is no analysis of the order-preserving or order-reversing mapping between consumer demand and utility when income and price are ...
Chunhua Jin
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Secure Database Using Order-Preserving Encryption Scheme Based on Arithmetic Coding and Noise Function [PDF]
Lecture Notes in Computer Science, 2015 Part 7: Dependable Systems and ApplicationsInternational audienceOrder-preserving symmetric encryption (OPE) is a deterministic encryption scheme which encryption function preserves numerical order of the plaintexts.
Krendelev, Sergey +5 more
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Separation axioms in topological preordered spaces and the existence of continuous order-preserving functions [PDF]
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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An Objective Function for Order Preserving Hierarchical Clustering [PDF]
Machine LearningAbstract We present a theory and an objective function for similarity-based hierarchical clustering of probabilistic partial orders and directed acyclic graphs (DAGs). Specifically, given elements $$x \le y$$ in the partial order ...
Bakkelund, Daniel
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Multiple order-preserving hash functions for load balancing in P2P networks [PDF]
International Journal of Communication Networks and Distributed Systems, 2018 Hash functions are at the heart of data insertion and retrieval in DHT-based overlays. However, a standard hash function destroys the natural ordering of data. To perform efficient range queries processing, more and more systems opt for an order-preserving hash function to place data.
Maeva Antoine, Fabrice Huet
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Existence of an order-preserving function on normally preordered spaces [PDF]
Bulletin of the Australian Mathematical Society, 1986 The object of this paper is to generalize the classic theorems of Eilenberg and Debreu on the existence of continuous order-preserving transformations on ordered topological spaces and to prove them in a different way. The proof of the theorems is based on Nachbin's generalization to ordered topological spaces of Urysohn's separation theorem in normal ...
Mehta G.
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