A possibilistic graphical model for handling decision problems under uncertainty

DOI

10.2991/eusflat.2013.110How to use a DOI?

Keywords

Possibilistic decision theory min-based possibilistic networks junction trees

Abstract

Possibilistic networks are important and efficient tools for reasoning under uncertainty. This paper proposes a new graphical model for decision making under uncertainty based on possibilistic networks. In possibilistic decision problems under uncertainty, available knowledge are expressed by means of possibility distributions and preferences are encoded by means another possibility distribution representing the qualitative utility. The first part of the paper proposes a new graphical way to represent such problem, where agent's knowledge and preferences are encoded separately by two distinct possibilistic networks. The first one encodes agent's beliefs and the second one represents the qualitative utility. The second part of the paper proposes a new algorithm for computing optimistic optimal decisions based on merging these two possibilistic networks. In fact, the qualitative possibilistic decision is viewed as a data fusion problem of these two particular possibilistic networks. We show that the computation of optimal decisions comes down to compute a normalization degree of the junction tree associated with the graph representing the fusion of agent's beliefs and preferences.

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  - Salem Benferhat
AU  - Faiza Khellaf
AU  - Ismahane Zeddigha
PY  - 2013/08
DA  - 2013/08
TI  - A possibilistic graphical model for handling decision problems under uncertainty
BT  - Proceedings of the 8th conference of the European Society for Fuzzy Logic and Technology (EUSFLAT-13)
PB  - Atlantis Press
SP  - 776
EP  - 783
SN  - 1951-6851
UR  - https://doi.org/10.2991/eusflat.2013.110
DO  - 10.2991/eusflat.2013.110
ID  - Benferhat2013/08
ER  -