Hierarchy of Emergent Properties of Alternatives in Decision-Making Theory
DOI:
https://doi.org/10.53555/ms.v2i3.500Keywords:
: hierarchy, emergence, nested scalar convolutions, multi-criteria problems, decisionmakingAbstract
It is shown, that under vector approach a decision-making problem by means of decomposition of alternative’s emergent properties can be presented by a hierarchical system of criteria. At the bottom level estimation of the alternative on separate properties is carried out through a vector of criteria, and at the top level by means of mechanism of composition the estimation of the alternative as a whole turns out. The problem is solved by method of nested scalar convolutions of vector-valued criteria. The methodology of the problem solving is based on complementarity principle by N. Bohr and theorem of incompleteness by K. Gödel.
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[Voronin, 2014] Voronin A.N. Multi-criteria decision-making: Systemic approach. – Lambert Academic Publishing, 2014. – 139 p.
[Fishburne, 1978] Fishburne P. Utility theory for decision making [in Russian]. – Moscow: Nauka, 1978. – 352 p.
[Saaty, 1990] Saaty T.L. Multicriteria Decision Making: The Analytical Hierarchy Process. – N.Y.: McGraw-Hill, 1990. – 380 p.
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