In this work we introduce a method for constructing linear orders between pairs of intervals
by using aggregation functions. We adapt this method to the case of interval-valued …

We analyze different separability conditions that characterize the numerical representability
of semiorders through a real-valued function and a strictly positive threshold. Any necessary …

Traditionally, a preference on a set A of alternatives is modeled by a binary relation R on A
satisfying suitable axioms of pseudo-transitivity, such as the Ferrers condition (a R b and c R …

A NaP-preference (necessary and possible preference) on a set A is a pair
\left(\succsim^^_N\!,\,\succsim^^_P\!\right) of binary relations on A such that its necessary …

Aggregation of intuitionistic fuzzy sets is studied from the point of view of preserving various
kinds of convexity. We focus on aggregation functions for intuitionistic fuzzy sets. These …

Numerical Representation of Semiorders Page 1 Order (2013) 30:455–462 DOI 10.1007/s11083-012-9255-3
Numerical Representation of Semiorders Asier Estevan·Javier Gutiérrez García· Esteban …

We provide an extension of the notion of chain-valued frame introduced by Pultr and
Rodabaugh in [Category theoretic aspects of chain-valued frames: parts I and II, Fuzzy Sets …

The paper deals with the valued comparison of intervals for decision making. Interval orders
are classical preference structures where the comparison of intervals is done in an ordinal …

We show that the classical definition of a fuzzy subset carries additional structures of a
topological nature. We look at the concept of a fuzzy subset and its corresponding α-cuts …

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 …