RAMÍK, Jaroslav and Jiří MAZUREK. Some new properties of inconsistent pairwise comparisons matrices. International Journal of Approximate Reasoning. Amsterdam, Nizozemí: Elsevier, 2019, Vol. 113, October 2019, p. 119-132. ISSN 0888-613X. Available from: https://dx.doi.org/10.1016/j.ijar.2019.07.002.
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Basic information
Original name Some new properties of inconsistent pairwise comparisons matrices
Authors RAMÍK, Jaroslav (203 Czech Republic, guarantor, belonging to the institution) and Jiří MAZUREK (203 Czech Republic, belonging to the institution).
Edition International Journal of Approximate Reasoning, Amsterdam, Nizozemí, Elsevier, 2019, 0888-613X.
Other information
Original language English
Type of outcome Article in a journal
Field of Study 10200 1.2 Computer and information sciences
Country of publisher Netherlands
Confidentiality degree is not subject to a state or trade secret
WWW URL
RIV identification code RIV/47813059:19520/19:A0000006
Organization unit School of Business Administration in Karvina
Doi http://dx.doi.org/10.1016/j.ijar.2019.07.002
UT WoS 000487166000007
Keywords in English AHP; Pairwise comparisons; Pairwise comparisons matrix; Inconsistency; Order of preferences
Links GA18-01246S, research and development project.
Changed by Changed by: Ing. Petra Skoumalová, učo 50554. Changed: 21/4/2020 10:23.
Abstract
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.
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