Listar INAMAT2 - Institute for Advanced Materials and Mathematics por autor UPNA "Raventós Pujol, Armajac"
Mostrando ítems 1-6 de 6
-
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 ... -
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 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, ... -
Topologies for semicontinuous Richter–Peleg multi-utilities
The present paper gives a topological solution to representability problems related to multi-utility, in the field of Decision Theory. Necessary and sufficient topologies for the existence of a semicontinuous and finite ... -
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 ...