In this paper we first use the semiconormed fuzzy integrals in order to extend the definition of the fuzzy expected value (F.E.V.) (Kandel, 1979). We generalize some of the properties due to Kandel with a criticism about his purpose of constraining the F.E.V. to be linear. Finally, a necessary and sufficient condition is given in order to guarantee some linearity properties for any semiconormed fuzzy integral.
@article{urn:eudml:doc:40423,
title = {El valor difuso esperado con integrales semiconormadas.},
journal = {Trabajos de Estad\'\i stica},
volume = {1},
year = {1986},
pages = {127-139},
zbl = {0659.60005},
language = {es},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:40423}
}
Suárez, Fermín; Gil, Pedro. El valor difuso esperado con integrales semiconormadas.. Trabajos de Estadística, Tome 1 (1986) pp. 127-139. http://gdmltest.u-ga.fr/item/urn:eudml:doc:40423/