International Journal For Research In Mathematics And Statistics

Vol. 2 No. 3 (2016): International Journal For Research In Mathematics And Statistics
Articles

Hierarchy of Emergent Properties of Alternatives in Decision-Making Theory

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  • Albert Voronin
Albert Voronin
National Aviation University, Komarova Avenue, Ukraine
DOI: https://doi.org/10.53555/ms.v2i3.500

Published 2016-03-31

Keywords

  • : hierarchy,
  • emergence,
  • nested scalar convolutions,
  • multi-criteria problems, decisionmaking

How to Cite

Voronin, A. (2016). Hierarchy of Emergent Properties of Alternatives in Decision-Making Theory. International Journal For Research In Mathematics And Statistics, 2(3), 01–18. https://doi.org/10.53555/ms.v2i3.500

Copyright (c) 2016 gnpublication@

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Abstract

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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References

  1. [Gubanov at al, 1988] Gubanov V.A., Zakharov V.V., Kovalenko A.N. Introduction to systems analysis [in Russian]. – Leningrad: Leningrad State University, 1988. – 232 p.
  2. [Voronin, 2014] Voronin A.N. Multi-criteria decision-making: Systemic approach. – Lambert Academic Publishing, 2014. – 139 p.
  3. [Fishburne, 1978] Fishburne P. Utility theory for decision making [in Russian]. – Moscow: Nauka, 1978. – 352 p.
  4. [Saaty, 1990] Saaty T.L. Multicriteria Decision Making: The Analytical Hierarchy Process. – N.Y.: McGraw-Hill, 1990. – 380 p.