COMPUTATIONAL STUDY OF CHARACTERISTIC POLYNOMIAL OF 4TH ORDER PCM IN AHP - Collections

＜journal article＞
COMPUTATIONAL STUDY OF CHARACTERISTIC POLYNOMIAL OF 4TH ORDER PCM IN AHP

Creator	Author PID 00244153 Creator Name Obata, Tsuneshi 小畑, 経史オバタ, ツネシ Affiliation Affiliation Name Faculty of Science and Technology, Oita University 大分大学理工学部
Creator	Author PID 60226313 Creator Name Shiraishi, Shunsuke 白石, 俊輔シライシ, シュンスケ Affiliation Affiliation Name School of Economics, University of Toyama 富山大学経済学部
Language	English
Publisher	Research Association of Statistical Sciences
Publisher	統計科学研究会
Date	2021
Source Title	Bulletin of informatics and cybernetics
Vol	53
Issue	3
First Page	1
Last Page	12
Publication Type	Version of Record
Access Rights	open access
Crossref DOI	https://doi.org/10.5109/4372243
Abstract	Pairwise comparison matrix (PCM) and its maximum eigenvalue play key roles in analytic hierarchy process (AHP). We shed light on the characteristic polynomial of a PCM of 4th order. By computational s...imulation, we can confirm that the value of the characteristic polynomial for 4 is non-positive in case which Saaty’s discrete scale will be used. Thus we can show the real-number solution of the characteristic equation exists and is greater than 4 in the practical use of AHP.show more

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