Browsing by UPNA Author "Campión Arrastia, María Jesús"
Now showing items 1-10 of 10
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Assigning numerical scores to linguistic expressions
In this paper, we study different methods of scoring linguistic expressions defined on a finite set, in the search for a linear order that ranks all those possible expressions. Among them, particular attention is paid to ... -
An axiomatic approach to finite means
In this paper we analyze the notion of a finite mean from an axiomatic point of view. We discuss several axiomatic alternatives, with the aim of establishing a universal definition reconciling all of them and exploring ... -
Binary relations coming from solutions of functional equations: orderings and fuzzy subsets
We analyze the main properties of binary relations, defined on a nonempty set, that arise in a natural way when dealing with real-valued functions that satisfy certain classical functional equations on two variables. We ... -
Decomposition and arrow-like aggregation of fuzzy preferences
We analyze the concept of a fuzzy preference on a set of alternatives, and how it can be decomposed in a triplet of new fuzzy binary relations that represent strict preference, weak preference and indifference. In this ... -
Geometrical aggregation of finite fuzzy sets
A fuzzy set on a finite universe can be interpreted as a vector in a unit cube. This gives rise to a huge variety of approaches in order to aggregate finite fuzzy sets or to modify a given one. We analyze several geometrical ... -
New trends on the numerical representability of semiordered structures
We introduce a survey, including the historical background, on di erent techniques that have recently been issued in the search for a characterization of the representability of semiordered structures, in the sense of ... -
Pointwise aggregation of maps: its structural functional equation and some applications to social choice theory
We study a structural functional equation that is directly related to the pointwise aggregation of a finite number of maps from a given nonempty set into another. First we establish links between pointwise aggregation and ... -
Semicontinuous planar total preorders on non-separable metric spaces
We prove that every non-separable connected metric space can be endowed with a total preorder that is order-isomorphic to a nonrepresentable subset of the lexicographic plane and semicontinuous with respect to the metric topology. -
A survey on the mathematical foundations of axiomatic entropy: representability and orderings
Different abstract versions of entropy, encountered in science, are interpreted in the light of numerical representations of several ordered structures, as total-preorders, interval-orders and semiorders. Intransitivities, ... -
Weightable quasi-metrics related to fuzzy sets
We show that the definition of a fuzzy set is directly related to the existence of a weightable quasi-metric on a universe. This relationship is also explored in terms of functional equations coming either from the membership ...