The aim of this paper is to completely classify all aggregation functions based on the notion of arity gap. We first establish explicit descriptions of the arity gap of the Lovász extensions of pseudo-Boolean functions and, in particular, of the Choquet integrals. Then we consider the wider class of order-preserving functions between arbitrary, possibly different, posets, and show that similar ...

In this paper we summarize some of our results on aggregation of individual fuzzy preferences. We focus on aggregation functions that preserve some types of transitivity, by giving complete characterization and representation of two main aggregation classes. These are closely related to the weighted maximum and minimum operations. We also establish full characterization of these weighted forms ...

This paper proposes a simplified solution procedure to the model presented by Akinc and Roodman. The Benders’ decomposition procedure for analyzing this model has been developed, and its shortcomings have been highlighted. Here, the special nature of the problem is exploited which allowed us to develop a new algorithm through surrogating method. The two methods are compared by several numerical...

the theoretical base of this paper is the economic growth model that completed with capital stocks (private and public) and human capital. at the first, hypothesis test about constant returns to scale is studied, and then the related variables with macroeconomic policies are added to the model. the results show that 1) the aggregate production function exhibits increasing returns to scale, 2) p...