オバタ ツネシ   Obata Tsuneshi
  小畑 経史
   所属   追手門学院大学  理工学部 数理・データサイエンス学科
   職種   教授
言語種別 英語
発行・発表の年月 2021/03
形態種別 国内学術誌(First author)
査読 査読あり
標題 COMPUTATIONAL STUDY OF CHARACTERISTIC POLYNOMIAL OF 4TH ORDER PCM IN AHP
執筆形態 代表編著
掲載誌名 Bulletin of Informatics and Cybernetics
出版社・発行元 Research Association of Statistical Sciences
巻・号・頁 53(3),pp.1-12
担当区分 筆頭著者
著者・共著者 Tsuneshi Obata,Shunsuke Shiraishi
概要 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 simulation, 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.
DOI 10.5109/4372243
ISSN 0286-522X
NAID 120007001005
PermalinkURL http://hdl.handle.net/2324/4372243