A NEW APPROACH OF REVISING UNSTABLE DATA IN ANP BY BAYES THEOREM
-
- Sekitani Kazuyuki
- Shizuoka University
-
- Takahashi Iwaro
- Tsukuba University
書誌事項
- タイトル別名
-
- New Approach of Revising Unstable Data in ANP by Bayes Theorem
この論文をさがす
抄録
In the typical type of ANP with a matrix U evaluating alternatives by criteria and a matrix W evaluating criteria by alternatives in the so-called supermatrix S, W is often said to be unstable. Here, we propose a method to revise W into a stable W and to calculate the weights of criteria and alternatives at the same time under the revised supermatrix S. Our method is formulated as an optimization problem based on Bayes Theorem which T.L. Saaty claimed to be included in ANP scheme. Concurrent Convergence method developed by Kinoshita and Nakanishi also intends to be correct W, but this method includes some contradictions. We prove that our method has no such contradiction. We introduce some eigenvalue problems, which give a lower bound of our optimal value and their special cases coincide with our problem. Furthermore, we clear what perturbations of W preserve weights of criteria and alternatives to be invariant under the concept of inactive alternatives.
収録刊行物
-
- 日本オペレーションズ・リサーチ学会論文誌
-
日本オペレーションズ・リサーチ学会論文誌 48 (1), 24-40, 2005
公益社団法人 日本オペレーションズ・リサーチ学会
- Tweet
詳細情報 詳細情報について
-
- CRID
- 1390001204109739904
-
- NII論文ID
- 110001192103
-
- NII書誌ID
- AA00703935
-
- ISSN
- 21888299
- 04534514
-
- NDL書誌ID
- 7283737
-
- 本文言語コード
- en
-
- データソース種別
-
- JaLC
- NDL
- Crossref
- CiNii Articles
-
- 抄録ライセンスフラグ
- 使用不可