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Existence of Order-Preserving Functions for Nontotal Fuzzy Preference Relations under Decisiveness [PDF]
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
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]
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]
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
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Order-preserving functions: Applications to majorization and order statistics [PDF]
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
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]
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
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]
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
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Order-preserving minimal perfect hash functions and information retrieval [PDF]
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

