This article is cited in 2 papers

The method of medians in the problem of ranking interval objects specified by three points

I. F. Shakhnov

Dorodnicyn Computing Center, Russian Academy of Sciences, ul. Vavilova 40, Moscow, 119333 Russia

Abstract: A method for ranking interval objects is proposed and analyzed; the characteristics of those objects are represented by pessimistic, optimistic, and most probable estimates. The method is based on the approximation of the binary probability preference relation by the binary median preference relation. The method is verified using statistical modeling (the Monte Carlo method). The proposed approach can be used for ranking nonreusable and reusable objects.

Key words: ranking, interval objects, binary preference relation, mathematical expectation, median, probability, triangular distribution, superiority relation.

UDC: 519.676

Received: 09.11.2010
Revised: 11.03.2011

 English version: Computational Mathematics and Mathematical Physics, 2011, 51:8, 1299–1306

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