Listar INARBE - Institute for Advanced Research in Business and Economics por autor UPNA "Induráin Eraso, Esteban"
Mostrando ítems 1-12 de 12
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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 ... -
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 ... -
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 ... -
Open questions in utility theory
Throughout this paper, our main idea is to explore different classical questions arising in Utility Theory, with a particular attention to those that lean on numerical representations of preference orderings. We intend to ... -
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, ... -
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 ... -
Why using topological and analytical methods in aggregation of fuzzy preferences?
The Arrow’s Impossibility Theorem states that there is no function fusing individual preferences into a social one satisfying certain properties of 'common sense'. On the contrary, in some of the fuzzy extensions of the ...