Displaying similar documents to “Matrix transformations and almost convergence”

The limit of inconsistency reduction in pairwise comparisons

Waldemar W. Koczkodaj, Jacek Szybowski (2016)

International Journal of Applied Mathematics and Computer Science

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This study provides a proof that the limit of a distance-based inconsistency reduction process is a matrix induced by the vector of geometric means of rows when a distance-based inconsistent pairwise comparisons matrix is transformed into a consistent PC matrix by stepwise inconsistency reduction in triads. The distance-based inconsistency indicator was defined by Koczkodaj (1993) for pairwise comparisons. Its convergence was analyzed in 1996 (regretfully, with an incomplete proof) and...