Decision Making in the Environment of Heterogeneous Uncertainty

Chapter
Part of the Studies in Computational Intelligence book series (SCI, volume 502)

Abstract

The environment of heterogeneous uncertainty is characterized by the presence of variables in multiple uncertainty formalisms. This paper provides an overview of decision models under several uncertainty frameworks including probability theory, Dempster-Shafer belief function theory and possibility theory. It explores the challenges in pulling them together for decision making. We show that the information of sequence of variable resolution, which was often neglected, actually plays a key role in decision making under heterogeneous uncertainty. A novel approach, based on the well-known folding-back principle, to find the certainty equivalent of acts under heterogeneous uncertainty is proposed.

Keywords

Decision making Possibility theory Dempster-Shafer belief function Ignorance 

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Copyright information

© Springer-Verlag Berlin Heidelberg 2014

Authors and Affiliations

  1. 1.George Mason UniversityFairfax, VAUSA

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