I financial risk management, coherent risk measures have been proposed as a way to avoid undesirable properties of measures such as value at risk that discourage diversification and do not account for the magnitude of the largest, and therefore most serious, losses. A coherent risk measure equals the maximum expected loss under several different probability measures, and these measures are anal...

The goal of the Food Safety Research Consortium (FSRC) is to improve how the U.S. food safety system works to reduce the threat of foodborne illness. To achieve this goal, the FSRC is developing decision tools that policymakers need to better identify and prioritize opportunities to reduce food safety risks and allocate government resources accordingly. As a first step, the FSRC is developing a...

It is the primary purpose of this paper to set the goals of ranking in a multiple-class context rigorously, following in the footsteps of recent results in the bipartite framework. Under specific likelihood ratio monotonicity conditions, optimal solutions for this global learning problem are described in the ordinal situation, i.e. when there exists a natural order on the set of labels. Criteri...

Multiple Criteria Decision Making or multi-attribute (MCDM) problems refer to performing preference decisions (e.g. ranking, ordering, prioritization, selection) over several available alternatives or objects that are characterized by multiple, usually conflicting, attributes or criteria. MCDM techniques have been and are still being encountered in a wide range of human activities, from the pro...