Extensión de medidas difusas usando la esperanza monótona.
Stochastica, Tome 11 (1987) no. 2-3, p. 75.
Voir la notice de l'article dans European Digital Mathematics Library
The monotone expectation is defined as a functional over fuzzy measures on finite sets. The functional is based on Choquet functional over capacities and its more relevant properties are proved, including the generalization of classical mathematical expectation and Dempster's upper and lower expectations of an evidence. In second place, the monotone expectation is used to define measures of fuzzy sets. Such measures are compared with the ones based on Sugeno integral. Finally, we prove a generalization of the Sugeno bound for probabilities to the whole body of fuzzy measures.
Classification :
60A99, 28A99, 03E72
Mots-clés : Medidas difusas, Esperanza matemática, Esperanza monótona, monotone expectation, fuzzy measures, Choquet functional, Sugeno integral
Mots-clés : Medidas difusas, Esperanza matemática, Esperanza monótona, monotone expectation, fuzzy measures, Choquet functional, Sugeno integral
@article{STO_1987__11_2-3_38980, author = {Manuel Jorge Bola\~nos Carmona and Mar{\'\i}a Teresa Lamata Jim\'enez and Seraf{\'\i}n Moral Callej\'on}, title = {Extensi\'on de medidas difusas usando la esperanza mon\'otona.}, journal = {Stochastica}, pages = {75}, publisher = {mathdoc}, volume = {11}, number = {2-3}, year = {1987}, mrnumber = {MR0990878}, zbl = {0669.60006}, language = {sp}, url = {https://geodesic-test.mathdoc.fr/item/STO_1987__11_2-3_38980/} }
TY - JOUR AU - Manuel Jorge Bolaños Carmona AU - María Teresa Lamata Jiménez AU - Serafín Moral Callejón TI - Extensión de medidas difusas usando la esperanza monótona. JO - Stochastica PY - 1987 SP - 75 VL - 11 IS - 2-3 PB - mathdoc UR - https://geodesic-test.mathdoc.fr/item/STO_1987__11_2-3_38980/ LA - sp ID - STO_1987__11_2-3_38980 ER -
%0 Journal Article %A Manuel Jorge Bolaños Carmona %A María Teresa Lamata Jiménez %A Serafín Moral Callejón %T Extensión de medidas difusas usando la esperanza monótona. %J Stochastica %D 1987 %P 75 %V 11 %N 2-3 %I mathdoc %U https://geodesic-test.mathdoc.fr/item/STO_1987__11_2-3_38980/ %G sp %F STO_1987__11_2-3_38980
Manuel Jorge Bolaños Carmona; María Teresa Lamata Jiménez; Serafín Moral Callejón. Extensión de medidas difusas usando la esperanza monótona.. Stochastica, Tome 11 (1987) no. 2-3, p. 75. https://geodesic-test.mathdoc.fr/item/STO_1987__11_2-3_38980/