Titlebook: Recent Advances and Historical Development of Vector Optimization; Proceedings of an In Johannes Jahn,Werner Krabs Conference proceedings 1

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On Some Applications of Stochastic Dominance in Multiobjective Decision-Makinged by binary relation of stochastic dominance. As an example can be mentioned the problem of attaining of a compromise between two goals, namely the increase of average wellbeing of a population and the reduction of living standards differentiation between individuals. The quantitative indicator is

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Some Considerations about Computational Complexity for Multi Objective Combinatorial Problemsring the 70’s just a few papers have been published on multi objective (m.o.) integer linear programming. However no special emphasis was put on the important aspect of computational complexity. This can be certainly ascribed to the fact that the theory of NP—completeness was developing at a fast pa

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Conference proceedings 1987 scientific discipline is closely related to multi-objective optimization and multi-criteria decision making. This book contains refereed contributions to the "International Conference on Vector Optimization" held at the Technical University of Darmstadt from August 4-7, 1986. This meeting was an in

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Sets of Efficiency in a Normed Space and Inner Product James’ characterizations of inner product spaces and a description of each set of efficiency which looks like the description of the convex hull of A..The same machinery allows to study polyhedral spaces where only partial results are obtained. Some characterizations of strictly convex spaces are also given.

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On Some Applications of Stochastic Dominance in Multiobjective Decision-Making related to decision-making under uncertainty, when on a level with the conventionally interpreted efficiency the high reliability of plans is to be ensured. The necessary and sufficient conditions for the effectiveness of solutions in the similar problems are obtained. Some properties and methods of construction of these solutions are considered.

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On the Existence of Cone-Efficient Points [7,14] provide an extensive bibliography on this topic. We quote only the papers which are explicitly used in this note. For a study of the existence of efficient alternatives with respect to other preference relations the reader is referred, for example, to [4, 13. 15].