RT info:eu-repo/semantics/article
T1 Shapley values and tolerance indices of the operators obtained with the Crescent Method
A1 Llamazares Rodríguez, Bonifacio
K1 The Crescent Method, Semi-SUOWA operators, SUOWA operators, Shapley values, Tolerance indices, Winsorized weighted means
AB Several operators have emerged in the framework of Choquet integral with the purpose of simultaneously generalizing weighted means and ordered weighted averaging (OWA) operators. However, on many occasions, not enough attention has been paid to whether the constructed operators behaved similarly to the weighted means and OWA operators that have been generalized.In this sense, it seems necessary that these new operators preserve the weights assigned to the information sources (which are established through the weighting vector associated with the weighted mean) and that they are able to rule out extreme values (which is an important characteristic of OWA operators).In this paper we analyze a family of operators recently introduced in the literature through the Crescent Method. First, we introduce a broad class of weighting vectors that allow us to guarantee that the games generated with the Crescent Method are capacities. Next we analyze the conjunctive/disjuntive character of the Choquet integrals associated with these capacities and we also give closed-form expressions of some tolerance and importance indices such as $k$-conjunctiveness/disjunctiveness indices, the veto and favor indices, and the Shapley values. Finally, we give two examples to show the usefulness of the results obtained.
PB Elsevier
SN 0165-0114
YR 2022
FD 2022
LK https://uvadoc.uva.es/handle/10324/83791
UL https://uvadoc.uva.es/handle/10324/83791
LA eng
NO Fuzzy Sets and Systems, Agosto 2022, vol. 441, p.196-214
NO Producción Científica
DS UVaDOC
RD 25-mar-2026