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@article{33783, author = {Ramík, Jaroslav and Mazurek, Jiří}, article_location = {Amsterdam, Nizozemí}, article_number = {October 2019}, doi = {http://dx.doi.org/10.1016/j.ijar.2019.07.002}, keywords = {AHP; Pairwise comparisons; Pairwise comparisons matrix; Inconsistency; Order of preferences}, language = {eng}, issn = {0888-613X}, journal = {International Journal of Approximate Reasoning}, title = {Some new properties of inconsistent pairwise comparisons matrices}, url = {https://www.sciencedirect.com/science/article/abs/pii/S0888613X1830608X}, volume = {Vol. 113}, year = {2019} }
TY - JOUR ID - 33783 AU - Ramík, Jaroslav - Mazurek, Jiří PY - 2019 TI - Some new properties of inconsistent pairwise comparisons matrices JF - International Journal of Approximate Reasoning VL - Vol. 113 IS - October 2019 SP - 119-132 EP - 119-132 PB - Elsevier SN - 0888613X KW - AHP KW - Pairwise comparisons KW - Pairwise comparisons matrix KW - Inconsistency KW - Order of preferences UR - https://www.sciencedirect.com/science/article/abs/pii/S0888613X1830608X L2 - https://www.sciencedirect.com/science/article/abs/pii/S0888613X1830608X N2 - Saaty's approach in the AHP framework divides inconsistent pairwise comparisons (PC) matrices into two categories, those with the acceptable inconsistency (with the consistency ratio equal to or under 0.10 threshold) and those with unacceptable inconsistency (above that threshold). The aim of this paper is to show that such a division is not appropriate, hence a new categorization of inconsistent matrices is proposed with respect to a satisfaction/violation of selected logical properties, such as the fundamental selection (FS) condition, the preservation of order preference (POP) condition, and the preservation of order of intensity of preference (POIP) condition. Moreover, a new non-linear optimization method for the derivation of weights (i.e. priority vector) is proposed such that the three aforementioned logical conditions are met. In the numerical part of the paper it is examined how frequently are the FS, POP and POIP conditions satisfied or violated for randomly generated PC matrices. ER -
RAMÍK, Jaroslav a Jiří MAZUREK. Some new properties of inconsistent pairwise comparisons matrices. \textit{International Journal of Approximate Reasoning}. Amsterdam, Nizozemí: Elsevier, 2019, Vol. 113, October 2019, s.~119-132. ISSN~0888-613X. Dostupné z: https://dx.doi.org/10.1016/j.ijar.2019.07.002.
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