Artificial Intelligence and Decision Making
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Artificial Intelligence and Decision Making, 2016, Issue 2, Pages 70–77 (Mi iipr286)  
Multi-criteria analysis of decisons

Composed approach to reduce the Pareto set using linear or multiplicative scalarization

V. D. Nogin

Saint Petersburg State University
Full-text PDF (394 kB)
Abstract: A multi-criteria choice problem including a DM’s binary preference relation is considered. Two combined two-stage approaches are proposed. According these methods firstly we have to reveal some information on the DM’s preference relation and then to apply scalarization methods based on linear or multiplicative functions. Justification of both combined two-stage approaches are given.
Keywords: multicriteria choice, axiomatic approach, quant of information, linear scalarization, multiplicative scalarization, Edgeworth–Pareto principle, Pareto set reducing.
English version:
Scientific and Technical Information Processing, 2016, Volume 44, Issue 2, Pages 373–378
DOI: https://doi.org/10.3103/S0147688217050094
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: V. D. Nogin, “Composed approach to reduce the Pareto set using linear or multiplicative scalarization”, Artificial Intelligence and Decision Making, 2016, no. 2, 70–77; Scientific and Technical Information Processing, 44:2 (2016), 373–378
Citation in format AMSBIB
\Bibitem{Nog16}
\by V.~D.~Nogin
\paper Composed approach to reduce the Pareto set using linear or multiplicative scalarization
\jour Artificial Intelligence and Decision Making
\yr 2016
\issue 2
\pages 70--77
\mathnet{http://mi.mathnet.ru/iipr286}
\elib{https://elibrary.ru/item.asp?id=26336705}
\transl
\jour Scientific and Technical Information Processing
\yr 2016
\vol 44
\issue 2
\pages 373--378
\crossref{https://doi.org/10.3103/S0147688217050094}
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