Multi-criteria analysis of decisons

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

V. D. Nogin

Saint Petersburg State University

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: , 2016, 44:2, 373–378

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