Distributional efficiency in multiobjective stochastic linear programming

Distributional efficiency in multiobjective stochastic linear programming

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Article ID: iaor19981929
Country: Netherlands
Volume: 85
Issue: 2
Start Page Number: 399
End Page Number: 415
Publication Date: Sep 1995
Journal: European Journal of Operational Research
Authors: , ,
Keywords: decision theory: multiple criteria
Abstract:

Several concepts of distributional efficiency are proposed for the Multiobjective Stochastic Linear Programming problem, in contexts where the probability distribution of random parameters is known and the decision maker (DM) has an unknown multi-attribute utility function belonging to a given class 𝕌. We present a general efficient set, the 𝕌-admissible solutions, and two subsets, the 𝕌-unanimous and 𝕌-advocated solutions, the latter being particularly relevant to the case of a single DM. We show how advocated solutions can be generated and/or tested when 𝕌 is the class of non-decreasing additive concave functions.

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