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Book Synopsis
Numerous formalisms have been designed to model and solve decision-making problems. Some formalisms, such as constraint networks, can express "simple" decision problems, while others take into account uncertainties (probabilities, possibilities...), unfeasible decisions, and utilities (additive or not).

In the first part of this book, we introduce a generic algebraic framework that encompasses and unifies a large number of such formalisms. This formalism, called the Plausibility–Feasibility–Utility (PFU) framework, is based on algebraic structures, graphical models, and sequences of quantifications. This work on knowledge representation is completed by a work on algorithms for answering queries formulated in the PFU framework. The algorithms defined are based on variable elimination or tree search, and work on a new generic architecture for local computations called multi-operator cluster DAGs.

Sequential Decision-Making Problems:

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    A Hardback by Cédric Pralet, Thomas Schiex, Gérard Verfaillie

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      Book details

      Publisher ISTE Ltd and John Wiley & Sons Inc
      Published 6 November 2009
      ISBN-13 9781848211742
      978-1848211742
      ISBN-10 1848211740
      Also in:
      Operational research

      Description

      Book Synopsis
      Numerous formalisms have been designed to model and solve decision-making problems. Some formalisms, such as constraint networks, can express "simple" decision problems, while others take into account uncertainties (probabilities, possibilities...), unfeasible decisions, and utilities (additive or not).

      In the first part of this book, we introduce a generic algebraic framework that encompasses and unifies a large number of such formalisms. This formalism, called the Plausibility–Feasibility–Utility (PFU) framework, is based on algebraic structures, graphical models, and sequences of quantifications. This work on knowledge representation is completed by a work on algorithms for answering queries formulated in the PFU framework. The algorithms defined are based on variable elimination or tree search, and work on a new generic architecture for local computations called multi-operator cluster DAGs.

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