MAZUREK, Jiří. On the problem of different pairwise comparison scales in the multiplicative AHP framework. Scientific Papers of the University of Pardubice Series D. 2019, vol. 46, No 2, p. 124-133. ISSN 1211-555X.
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Basic information
Original name On the problem of different pairwise comparison scales in the multiplicative AHP framework
Authors MAZUREK, Jiří (203 Czech Republic, guarantor, belonging to the institution).
Edition Scientific Papers of the University of Pardubice Series D, 2019, 1211-555X.
Other information
Original language English
Type of outcome Article in a journal
Field of Study 10201 Computer sciences, information science, bioinformatics
Country of publisher Czech Republic
Confidentiality degree is not subject to a state or trade secret
WWW URL
RIV identification code RIV/47813059:19520/19:A0000005
Organization unit School of Business Administration in Karvina
Keywords in English AHP; normalization; pairwise comparisons; comparison scale
Tags International impact, Reviewed
Links GA18-01246S, research and development project.
Changed by Changed by: Miroslava Snopková, učo 43819. Changed: 7/5/2020 09:18.
Abstract
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.
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