VOCAL 2024
Abstract Submission

80. Allocations based on pairwise comparisons

Invited abstract in session FB-2: Decision theory, stream Decision theory.

Friday, 10:15 - 11:45
Room: C 103

Authors (first author is the speaker)

1. Zsombor Szádoczki
Research Laboratory on Engineering & Management Intelligence, HUN-REN Institute for Computer Science and Control (SZTAKI);, Department of Operations Research and Actuarial Sciences, Corvinus University of Budapest
2. Sándor Bozóki
Research Group of Operations Research and Decision Systems, Institute for Computer Science and Control, Hungarian Academy of Sciences (MTA SZTAKI)

Abstract

The allocation of financial or other scarce resources is a common optimization problem connected to group decision making. This paper aims to suggest a reasonable approach to these issues based on pairwise comparisons. In the proposed model, each decision maker provides the pairwise comparisons (or the direct evaluation if possible) of a subset of the alternatives. The union of all comparisons can result in a complete, an incomplete or a multigraph, i.e., some of the elements have never been compared, while others have been compared several times. If there are multiple comparisons between two alternatives, then we use their geometric mean in the evaluations. Finally, the weight calculation techniques connected to incomplete pairwise comparison matrices are used to determine the allocated ratio of each alternative.

Keywords

Status: accepted


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