Generalizations of weighted means and OWA operators by using unimodal weighting vectors

Producción CientíficaWeighted means and OWA operators are two families of functions well known in the literature. Given that both are specific cases of the Choquet integral, several procedures for constructing capacities that generalize simultaneously those of the weighted means and the OWA operators have been suggested in recent years. In this paper we propose two methods that allow us to address the previous issue and that provide us with a wide variety of capacities when the weighting vector associated with the OWA operator is unimodal.Este trabajo forma parte del proyecto de investigación: MEC-FEDER Grant ECO2016-77900-P

On the relationship between the Crescent Method and SUOWA operators

Producción CientíficaDifferent families of functions have been proposed in the literature with the purpose of simultaneously generalizing weighted means and OWA operators (see, for instance, WOWA and SUOWA operators). Recently, Jin, Mesiar, and Yager [L. Jin, R. Mesiar, and R. R. Yager, Melting probability measure with OWA operator to generate fuzzy measure: the Crescent Method, IEEE Transactions on Fuzzy Systems, in press] have introduced in the literature a new procedure called The Crescent Method to melt additive capacities with those of OWA operators. The main aim of this paper is to establish a relationship between the Crescent Method and SUOWA operators. From this relationship we give closed-form expressions for some well-known indices such as the Shapley values, the veto and favor indices, and the k-conjunctiveness and k-disjunctiveness indices.Este trabajo forma parte del proyecto de investigación: MEC-FEDER Grant ECO2016-77900-P

Journal of Telecommunications and Information Technology, 2009, nr 3

kwartalni

Journal of Telecommunications and Information Technology, 2008, nr 4

kwartalni