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Journal of Automation and Information Sciences
SJR: 0.232 SNIP: 0.464 CiteScore™: 0.27

ISSN Imprimir: 1064-2315
ISSN En Línea: 2163-9337

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Journal of Automation and Information Sciences

DOI: 10.1615/JAutomatInfScien.v48.i11.20
pages 7-22

The Concept of Nonlinear Trade-Off Schemes in Multicriteria Problems

Albert N. Voronin
National Aviation University, Kiev, Ukraine

SINOPSIS

Consideration is given to theoretical foundations of concept of nonlinear trade-off scheme in multicriteria problems of estimation and optimization. The optimality principle "out of limits" is proposed where those decisions are regarded as the preferable in which the partial criteria are the farthest from their maximum permissible values. On this basis the selection problem of traditional schemes of compromise is transformed into the task of building a single universal scalar convolution of criteria which is appropriate to the given situation.

REFERENCIAS

  1. Gubanov V.A., Zakharov V.V., Kovalenko A.N., et.al., Introduction to systems analysis (in Russian), Izdatelstvo Leningradskogo universiteta, Leningrad, 1988.

  2. Fishbern P.S., Utility theory for decision making (in Russian), Nauka, Moscow, 1979.

  3. Larichev O.I., Science and art of decision making (in Russian), Nauka, Moscow, 1979.

  4. Charnes A., Cooper W., Management models and industrial applications of linear programming, Wiley, New York, 1961.

  5. Voronin A.N., Ziatdinov Yu.K., Theory and practice of multicriteria solutions: models, methods, implementation, Lambert Academic Publishing, 2013.

  6. Voronin A.N., Hierarchy of emergent properties of alternatives in decision-making theory, International Journal for Research in Mathematics and Mathematical Sciences, 2016, 2, No. 3, 1–18.

  7. Litvak B.G., Expert technologoes in control (in Russian), Delo, Moscow, 2004.

  8. Zadeh L., The concept of a linguistic variable and its application to approximate reasoning (Russian translation), Mir, Moscow, 1976.


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