MAGNOT, Jean-Pierre, Jiří MAZUREK and Viera ČERŇANOVÁ. A gradient method for inconsistency reduction of pairwise comparisons matrices. International Journal of Approximate Reasoning. USA, 2022, Neuveden, No 152, p. 46-58. ISSN 0888-613X. |
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@article{64367, author = {Magnot, JeanandPierre and Mazurek, Jiří and Čerňanová, Viera}, article_location = {USA}, article_number = {152}, keywords = {Gradient method; Inconsistency indicator; Pairwise comparisons; Priority vector}, language = {eng}, issn = {0888-613X}, journal = {International Journal of Approximate Reasoning}, title = {A gradient method for inconsistency reduction of pairwise comparisons matrices}, url = {https://www.sciencedirect.com/science/article/pii/S0888613X22001645?dgcid=rss_sd_all}, volume = {Neuveden}, year = {2022} }
TY - JOUR ID - 64367 AU - Magnot, Jean-Pierre - Mazurek, Jiří - Čerňanová, Viera PY - 2022 TI - A gradient method for inconsistency reduction of pairwise comparisons matrices JF - International Journal of Approximate Reasoning VL - Neuveden IS - 152 SP - 46-58 EP - 46-58 SN - 0888613X KW - Gradient method KW - Inconsistency indicator KW - Pairwise comparisons KW - Priority vector UR - https://www.sciencedirect.com/science/article/pii/S0888613X22001645?dgcid=rss_sd_all N2 - We investigate an application of a mathematically robust minimization method - the gradient method - to the consistencization problem of pairwise comparisons (PC) matrix. Our approach sheds new light on the notion of a priority vector and leads naturally to the definition of instant priority vectors. We describe a sample family of inconsistency indicators based on various ways of taking an average value, which extends the inconsistency indicator based on the “sup”- norm. We apply this family of inconsistency indicators both for additive and multiplicative PC matrices to show that the choice of various inconsistency indicators leads to non-equivalent consistencization procedures. ER -
MAGNOT, Jean-Pierre, Jiří MAZUREK and Viera ČERŇANOVÁ. A gradient method for inconsistency reduction of pairwise comparisons matrices. \textit{International Journal of Approximate Reasoning}. USA, 2022, Neuveden, No~152, p.~46-58. ISSN~0888-613X.
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