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Dynamic method of forming classes in solving the problem "rough" ranking

Abstract

Dynamic method of forming classes in solving the problem "rough" ranking

Ivanov I.I., Petrov P.P.

Incoming article date: 20.03.2015

"Often in decision-making objective functions are not represented in the form of explicit functional dependencies on the set of valid alternatives (objects), and is given preference relation on this set, ie it is possible only pairwise comparisons of objects. This raises the problem of selecting a subset of the original set, elements of which are said to be preferred, or select multiple subsets (classes) with further ordering. In this paper we consider the principle of ""rough"" ranking, which consists in the selection of classes of objects and their linear ordering for the case when the original relation is linear and non-transitive It is proposed a method of forming a dynamic classes in solving the problem ""rough"" ranking. It is based on the introduction of the interval representation of a Boolean matrix."

Keywords: diversification of management, production diversification, financial and economic purposes of a diversification, technological purposes of ensuring flexibility of production