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<dc:title xml:lang="pl"><![CDATA[The limit of inconsistency reduction in pairwise comparisons]]></dc:title>
<dc:creator><![CDATA[Koczkodaj, Waldemar W.]]></dc:creator>
<dc:creator><![CDATA[Szybowski, Jacek]]></dc:creator>
<dc:subject xml:lang="pl"><![CDATA[pairwise comparison]]></dc:subject>
<dc:subject xml:lang="pl"><![CDATA[inconsistency reduction]]></dc:subject>
<dc:subject xml:lang="pl"><![CDATA[convergence limit]]></dc:subject>
<dc:subject xml:lang="pl"><![CDATA[decision making]]></dc:subject>
<dc:description xml:lang="pl"><![CDATA[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.]]></dc:description>
<dc:description xml:lang="pl"><![CDATA[Its convergence was analyzed in 1996 (regretfully, with an incomplete proof) and finally completed in 2010. However, there was no interpretation provided for the limit of convergence despite its considerable importance. This study also demonstrates that the vector of geometric means and the right principal eigenvector are linearly independent for the pairwise comparisons matrix size greater than three, although both vectors are identical (when normalized) for a consistent PC matrix of any size.]]></dc:description>
<dc:publisher><![CDATA[Zielona Góra: Uniwersytet Zielonogórski]]></dc:publisher>
<dc:contributor><![CDATA[Korbicz, Józef (1951- ) - red.]]></dc:contributor>
<dc:contributor><![CDATA[Uciński, Dariusz - red.]]></dc:contributor>
<dc:date><![CDATA[2016]]></dc:date>
<dc:type xml:lang="pl"><![CDATA[artykuł]]></dc:type>
<dc:identifier><![CDATA[http://www.zbc.uz.zgora.pl/repozytorium/Content/79205/AMCS_2016_26_3_15.pdf]]></dc:identifier>
<dc:identifier><![CDATA[https://zbc.uz.zgora.pl/repozytorium/dlibra/publication/89037/edition/79205/content]]></dc:identifier>
<dc:identifier><![CDATA[oai:zbc.uz.zgora.pl:79205]]></dc:identifier>
<dc:source xml:lang="pl"><![CDATA[AMCS, volume 26, number 3 (2016)]]></dc:source>
<dc:source xml:lang="pl"><![CDATA[https://www.amcs.uz.zgora.pl/?action=papers&issue=66]]></dc:source>
<dc:language><![CDATA[eng]]></dc:language>
<dc:relation><![CDATA[oai:zbc.uz.zgora.pl:publication:89037]]></dc:relation>
<dc:rights xml:lang="pl"><![CDATA[Biblioteka Uniwersytetu Zielonogórskiego]]></dc:rights>
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