Extension of fuzzy measures through the monotone expectation.

Manuel Jorge Bolaños Carmona; María Teresa Lamata Jiménez; Serafín Moral Callejón

Stochastica (1987)

  • Volume: 11, Issue: 2-3, page 75-92
  • ISSN: 0210-7821

Abstract

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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.

How to cite

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Bolaños Carmona, Manuel Jorge, Lamata Jiménez, María Teresa, and Moral Callejón, Serafín. "Extensión de medidas difusas usando la esperanza monótona.." Stochastica 11.2-3 (1987): 75-92. <http://eudml.org/doc/38980>.

@article{BolañosCarmona1987,
author = {Bolaños Carmona, Manuel Jorge, Lamata Jiménez, María Teresa, Moral Callejón, Serafín},
journal = {Stochastica},
keywords = {Medidas difusas; Esperanza matemática; Esperanza monótona; monotone expectation; fuzzy measures; Choquet functional; Sugeno integral},
language = {spa},
number = {2-3},
pages = {75-92},
title = {Extensión de medidas difusas usando la esperanza monótona.},
url = {http://eudml.org/doc/38980},
volume = {11},
year = {1987},
}

TY - JOUR
AU - Bolaños Carmona, Manuel Jorge
AU - Lamata Jiménez, María Teresa
AU - Moral Callejón, Serafín
TI - Extensión de medidas difusas usando la esperanza monótona.
JO - Stochastica
PY - 1987
VL - 11
IS - 2-3
SP - 75
EP - 92
LA - spa
KW - Medidas difusas; Esperanza matemática; Esperanza monótona; monotone expectation; fuzzy measures; Choquet functional; Sugeno integral
UR - http://eudml.org/doc/38980
ER -

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