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Existence of Order-Preserving Functions for Nontotal Fuzzy Preference Relations under Decisiveness [PDF]

open access: yesAxioms, 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
doaj   +8 more sources

Lifting Theorems for Continuous Order-Preserving Functions and Continuous Multi-Utility

open access: yesAxioms, 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
doaj   +6 more sources

The arity gap of order-preserving functions and extensions of pseudo-Boolean functions [PDF]

open access: yesDiscrete 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   +5 more sources

Symmetric 2×2 matrix functions with order preserving property [PDF]

open access: yesOpuscula Mathematica
It 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
doaj   +4 more sources

Order-preserving functions: Applications to majorization and order statistics [PDF]

open access: yesPacific Journal of Mathematics, 1967
Abstract : It has been common in the theory of reliability and its practice to assume that the life of a device is exponentially distributed (i.e. it has constant hazard or failure rate) or intuitively, that the device does not wear in service. This assumption is mathematically convenient, but it should not be employed without verification of its ...
Marshall, A. W.   +2 more
openaire   +3 more sources

Order-Preserving and Order-Reversing Mappings between Consumption Bundles and Utilities

open access: yesComplexity, 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
doaj   +1 more source

Numerical representability of fuzzy total preorders [PDF]

open access: yesInternational Journal of Computational Intelligence Systems, 2012
We introduce the concept of a fuzzy total preorder. Then we analyze its numerical representability through a real-valued order-preserving function defined for each -cut.
L. Agud   +4 more
doaj   +1 more source

Correlation between deformation and total entropy change at the first-order magnetic transition of Fe2P-based magnetocaloric materials

open access: yesResults in Physics, 2023
While there is a growing consensus that lattice is an important source of entropy change at structural or elastic first-order magnetic transitions (FOMT) with finite volume change, the case of volume preserving transitions (ΔV = 0) remains more ...
F. Guillou   +3 more
doaj   +1 more source

From nominal to higher-order rewriting and back again [PDF]

open access: yesLogical Methods in Computer Science, 2015
We present a translation function from nominal rewriting systems (NRSs) to combinatory reduction systems (CRSs), transforming closed nominal rules and ground nominal terms to CRSs rules and terms, respectively, while preserving the rewriting relation. We
Jesús Domínguez, Maribel Fernández
doaj   +1 more source

Order-preserving minimal perfect hash functions and information retrieval [PDF]

open access: yesACM Transactions on Information Systems, 1989
Rapid access to information is essential for a wide variety of retrieval systems and applications. Hashing has long been used when the fastest possible direct search is desired, but is generally not appropriate when sequential or range searches are also required.
Edward A. Fox   +3 more
openaire   +1 more source

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