Qualitative integrals and desintegrals as lower and upper possibilistic expectations

Abstract : Any capacity (i.e., an increasing set function) has been proved to be a lower possibility measure and an upper necessity measure. Similarly, it is shown that any anti-capacity (i.e., a decreasing set function) can be viewed both as an upper guaranteed possibility measure and as a lower weak necessity measure. These results are the basis for establishing that qualitative integrals (including Sugeno integrals) are lower and /or upper possibilistic expectations wrt a possibility measure, while qualitative desintegrals are upper or lower possibilistic expectations wrt a guaranteed possibility measure. The results are presented in a qualitative finite setting, the one of multiple criteria aggregation.
Complete list of metadatas

Cited literature [15 references]  Display  Hide  Download

https://hal.archives-ouvertes.fr/hal-01212931
Contributor : Open Archive Toulouse Archive Ouverte (oatao) <>
Submitted on : Wednesday, October 7, 2015 - 3:05:28 PM
Last modification on : Tuesday, November 19, 2019 - 2:40:49 AM
Long-term archiving on: Friday, January 8, 2016 - 10:46:56 AM

File

dubois_12777.pdf
Files produced by the author(s)

Identifiers

  • HAL Id : hal-01212931, version 1
  • OATAO : 12777

Citation

Didier Dubois, Henri Prade, Agnés Rico. Qualitative integrals and desintegrals as lower and upper possibilistic expectations. 8th European Society For Fuzzy Logic And Technology Conference (EUSFLAT 2013), Sep 2013, Milan, Italy. pp. 318-325. ⟨hal-01212931⟩

Share

Metrics

Record views

189

Files downloads

158