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A Separating Choice Hyperplane Algorithm for Evaluating Multiattribute Decisions

Ted Dintersmith

Operations Research · 1984 · Volume 32 · Issue 6

DOI: 10.1287/opre.32.6.1328

Abstract

This paper presents an iterative algorithm for optimizing multiattribute decisions. It develops a separating choice hyperplane algorithm, which allows decision-makers to identify their most preferred point from a nonlinear convex set of feasible outcomes. In this interactive algorithm, the decision-maker reveals information about preferences by solving a series of elementary resource allocations. The resulting structure integrates a theoretically rigorous optimization procedure with intuitive assessment tasks. A practical application of the approach is presented.

Keywords

91 decision analysis: multiattribute, 641 multiple criteria programming: interactive algorithms, 644 nonlinear programming using cutting planes: interactive multiattribute

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