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Determining preference orders based on a majority margin matrix

Bury H., Wagner D.

Operations Research and Decisions

2013

Vol. 23, No. 2

25--41

When determining a group ranking, the information about experts’ opinions may be sometimes incomplete. In such cases, usually only the outranking matrix L or the majority margin matrix ΔL is available. Debord [2] presented a technique for constructing the set of experts’ opinions based on the majority margin matrix. The method proposed – simple and efficient – provides a set of experts’ opinions consistent with the given majority margin matrix.

Methods of determining group opinion using pairwise comparisons. Analysis of properties and application aspects

Bury H., Petriczek G., Wagner D.

Bulletin of the Polish Academy of Sciences. Technical Sciences

2000

Vol. 48, nr 2

145-165

The problem considered in the paper is formulated as follows. Given a finite set of elements called alternatives, set of properties or attributes and a set of experts. Their task is to estimate the importance of alternatives under consideration wit h respect to the chosen criterion, i.e. to evaluate estimates of alternative weights. Experts can be asked to give their judgements on all the alternatives analyzed or to perform pairwise comparisons only. In the paper the latter case is considered only. Moreover, it is assumed that transitivity conditions do not hold. Methods to solve the problem are analysed. Numerical examples illustrating the application of methods investigated are given.