Abstract
This chapter considers in brief the aspects of decision-making by humans and then presents the axiomatic approach to Pareto set (domain of compromise) reduction based on information quanta about the DM’s preference relation. The corresponding theoretical background can be found in the previous chapters, and here we describe the axiomatic approach without mathematical details, as well as give some recommendations on usage. In addition, possible ways to combine this approach with some multicriteria scalarization methods and some potential extensions are discussed.
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Notes
- 1.
See, for example, [55].
- 2.
This assumption is true if the vector function \(f\) has componentwise concavity on the convex set \(X\).
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Noghin, V.D. (2018). Decision-Making Based on Information Quanta: Methodology and Practice. In: Reduction of the Pareto Set. Studies in Systems, Decision and Control, vol 126. Springer, Cham. https://doi.org/10.1007/978-3-319-67873-3_8
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DOI: https://doi.org/10.1007/978-3-319-67873-3_8
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