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Erschienen in:
2011 | OriginalPaper | Buchkapitel
10. Comparison of Partial, Linear, and Weak Orders
verfasst von : Rainer Brüggemann, Ganapati P. Patil
Erschienen in: Ranking and Prioritization for Multi-indicator Systems
Verlag: Springer New York
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Abstract
There are two reasons to compare different orders:
1. From (X, IB), a linear or weak order, called O
poset, can be derived, applying methods rendered in Chapter 9. By calculation of an index (Chapter 7), another linear or weak order can be obtained, which we call O
Γ. As there are the same set of indicators, IB, and the same set of objects, X, O
poset, and O
Γ should ideally be coincident. As can be suspected, this is not necessarily the case and we need measures to quantify the degree of coincidence between O
poset and O
Γ.