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Multicriteria decision making under uncertainty

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Abstract.

Formalization for problems of multicriteria decision making under uncertainty is constructed in terms of guaranteed and weak estimates. A relevant definition of the vector maximinimax value is given. Parameterization and approximation of maximum, minimax, and maximinimax values based on the inverse logical convolution are suggested. An application for multicommodity networks is considered.

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Authors and Affiliations

  1. Computing Center of RAS, Vavilov st. 40, 119991 Moscow GSP-1, Russia, e-mail: nnovik@ccas.ru, irina@ccas.ru, , , , , , RU

    Natalia M. Novikova

  2. Faculty of Computational Mathematics and Cybernetics, Moscow State University, Vorobjovy Gory, Moscow, 119899, Russia, e-mail: irina@ccas.ru, , , , , , RU

    Irina I. Pospelova

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  1. Natalia M. Novikova
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  2. Irina I. Pospelova
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Received: December 13, 2000 / Accepted: August 21, 2001¶Published online May 8, 2002

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Novikova, N., Pospelova, I. Multicriteria decision making under uncertainty. Math. Program. 92, 537–554 (2002). https://doi.org/10.1007/s101070100289

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  • DOI: https://doi.org/10.1007/s101070100289

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