α-Discounting Multi-Criteria Decision Making (α-D MCDM)

Details α-Discounting Multi-Criteria Decision Making (α-D MCDM) α-Discounting Multi-Criteria Decision Making (α-D MCDM)

2010-01-31

arxiv.org/abs/1002.0102v4

Proceedings of Fusion 2010 International Conference, Edinburgh, Scotland, 26-29 July, 2010

Computer Science

Artificial Intelligence

27 pages

Scientific paper

In this paper we introduce a new method called \alpha-Discounting Multi-Criteria Decision Making (\alpha-D MCDM), which is an aletrnative and extension of Saaty's Analytical Hierarchy Process (AHP). It works for any set of preferences that can be transformed into a system of homogeneous linear equations. A degree of consistency (and implicitly a degree of inconsistency) of a decision-making problem are defined. \alpha-D MCDM is then generalized to a set of preferences that can be transformed into a system of linear and/or non-linear equations and/or inequalities. Many consistent, weak inconsistent, and strong inconsistent examples are given.

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