This article is cited in 2 papers

Multi-criteria analysis

An algorithm of Pareto set reducing based on arbitrary finite collection of “quanta” of information

V. D. Nogin

Saint Petersburg State University

Abstract: In this paper, in the framework of the axiomatic approach, developed by the author over the past three decades, four axioms of “reasonable” choice, which outline a sufficiently broad class of multicriteria choice problems, are accepted. To narrow down the Pareto set is used some numerical information on the DM's preference relation. A method to reduce the Pareto set using an arbitrary consistent finite collection of such information is developed. The method is based on an algorithm that generates a new vector criterion with minimal number of components. The Pareto set with respect to new vector criterion gives the desired narrowing of the initial Pareto set.

Keywords: multicriteria choice, the Pareto set, the Pareto set reducing.

 English version: , 2014, 41:5, 309–313

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