Reference : Approximations of the Lovász extension of pseudo-Boolean functions; applications to m...
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Approximations of the Lovász extension of pseudo-Boolean functions; applications to multicriteria decision making
Marichal, Jean-Luc mailto [University of Liège, Belgium > Department of Management (FEGSS)]
Rutcor Seminar
Peter Hammer (Rutcor, NJ, U.S.A.)
Rutgers Center for Operations Research (RUTCOR), Rutgers University, NJ
[en] We investigate the approximation of the Lovász extension of a pseudo-Boolean function by the Lovász extension of a multilinear polynomial of (at most) a specified degree. Certain constrained versions of this approximation problem are also studied. Finally, we apply this theory to the aggregation phase of a multicriteria decision making problem.
University of Liège, Belgium ; NATO (grant CRG 931531)
Researchers ; Professionals ; Students

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