Qualitative integrals and desintegrals as lower and upper possibilistic expectations

DOI

10.2991/eusflat.2013.51How to use a DOI?

Keywords

fuzzy measure Sugeno integral possibility theory

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.

Copyright

© 2013, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - CONF
AU  - Didier Dubois
AU  - Henri Prade
AU  - Agnès Rico
PY  - 2013/08
DA  - 2013/08
TI  - Qualitative integrals and desintegrals as lower and upper possibilistic expectations
BT  - Proceedings of the 8th conference of the European Society for Fuzzy Logic and Technology (EUSFLAT-13)
PB  - Atlantis Press
SP  - 358
EP  - 365
SN  - 1951-6851
UR  - https://doi.org/10.2991/eusflat.2013.51
DO  - 10.2991/eusflat.2013.51
ID  - Dubois2013/08
ER  -