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@article{33753, author = {Mazurek, Jiří}, article_number = {2}, keywords = {AHP; normalization; pairwise comparisons; comparison scale}, language = {eng}, issn = {1211-555X}, journal = {Scientific Papers of the University of Pardubice Series D}, title = {On the problem of different pairwise comparison scales in the multiplicative AHP framework}, url = {https://fes.upce.cz/sites/default/files/public/mika0267/scipap_46_obsah_138539.pdf}, volume = {46}, year = {2019} }
TY - JOUR ID - 33753 AU - Mazurek, Jiří PY - 2019 TI - On the problem of different pairwise comparison scales in the multiplicative AHP framework JF - Scientific Papers of the University of Pardubice Series D VL - 46 IS - 2 SP - 124-133 EP - 124-133 SN - 1211555X KW - AHP KW - normalization KW - pairwise comparisons KW - comparison scale UR - https://fes.upce.cz/sites/default/files/public/mika0267/scipap_46_obsah_138539.pdf L2 - https://fes.upce.cz/sites/default/files/public/mika0267/scipap_46_obsah_138539.pdf N2 - In pairwise comparisons, several scales are used to compare objects. Perhaps the most known is Saaty’s fundamental scale for the AHP/ANP from 1 to 9 (with reciprocals), but other scales with 3, 5 or 10 items are also used in practice. Since the AHP/ANP is scale invariant, the following problem arises: for example, a preference of one object over other object expressed by the value 2 means something else for the scale from 1 to 3 (it expresses the medium preference) and the scale from 1 to 100 (in this case the preference is almost negligible). Therefore, the need of a normalization for pairwise comparison scales arises. The aim of the article is to propose a suitable transformation of a general linear scale for pairwise comparisons to a unit real interval that preserves several natural and desirable properties. ER -
MAZUREK, Jiří. On the problem of different pairwise comparison scales in the multiplicative AHP framework. \textit{Scientific Papers of the University of Pardubice Series D}. 2019, roč.~46, č.~2, s.~124-133. ISSN~1211-555X.
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