Listar Artículos de revista - Aldizkari artikuluak por autor UPNA "Campión Arrastia, María Jesús"
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Aggregation of individual rankings through fusion functions: criticism and optimality analysis
Throughout this paper, our main idea is to analyze from a theoretical and normative point of view different methods to aggregate individual rankings. To do so, first we introduce the concept of a general mean on an abstract ... -
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 ... -
A mathematical approach to law and deal modelling: legislation and agreements
Social norms are a set of rules to be followed by the people of a community in order to have a better coexistence, to which the behaviors, tasks, and activities of the human being must be adjusted. The set or system of ... -
Multidistances and inequality measures on abstract sets: an axiomatic approach
Starting from the notion of a multidistance, we formalize, through a suitable system of axioms, the concept of an inequality measure defined on a nonempty set with no additional structure implemented a priori. Among ... -
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 ... -
On the structure of acyclic binary relations
We investigate the structure of acyclic binary relations from different points of view. On the one hand, given a nonempty set we study real-valued bivariate maps that satisfy suitable functional equations, in a way that ... -
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 ... -
Scores of hesitant fuzzy elements revisited: "Was sind und was sollen"
(Elsevier, 2023) Artículo / ArtikuluaThis paper revolves around the notion of score for hesitant fuzzy elements, the constituent parts of hesitant fuzzy sets. Scores allow us to reduce the level of uncertainty of hesitant fuzzy sets to classical fuzzy sets, ... -
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. -
Strong negations and restricted equivalence functions revisited: an analytical and topological approach
Throughout this paper, our main idea is to analyze the concepts of a strong negation and a restricted equivalence function, that appear in a natural way when dealing with theory and applications of fuzzy sets and fuzzy ... -
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 ... -
What do law and mathematics have in common? The sustainable development goals as a transversal substrate of numbers and laws
This paper presents two experiences of innovative teaching at the Public University of Navarra that have as a fundamental common link: the mainstreaming of the Sustainable Development Goals in the curriculum. With this ...