A generalized DEMATEL theory with a shrinkage coefficient for an indirect relation matrix

Hsiang Chuan Liu, Ben Chang Shia, Yih Chang Ou, Huan Wen Su

研究成果: 雜誌貢獻Conference article同行評審

4 引文 斯高帕斯(Scopus)

摘要

In this paper, a novel decision-making trial and evaluation laboratory (DEMATEL) theory with a shrinkage coefficient of indirect relation matrix is proposed, and a useful validity index, called Liu's validity index, is also proposed for evaluating the performance of any DEMATEL model. If the shrinkage coefficient of an indirect relation matrix is equal to 1, then this new theory is identical to the traditional theory; in other words, it is a generalization of the traditional theory. Furthermore, the indirect relation is always considerably greater than the direct one in traditional DEMATEL theory, which is unreasonable and unfair because it overemphasizes the influence of the indirect relation. We prove in this paper that if the shrinkage coefficient is equal to 0.5, then the indirect relation is less than its direct relation. Because the shrinkage coefficient belongs to [0.5, 1], according to Liu's validity index, we can find a more appropriate shrinkage coefficient to obtain a more efficient DEMATEL method. Some crucial properties of this new theory are discussed, and a simple example is provided to illustrate the advantages of the proposed theory.
原文英語
文章編號01020
期刊MATEC Web of Conferences
119
DOIs
出版狀態已發佈 - 8月 4 2017
事件5th International Multi-Conference on Engineering and Technology Innovation, IMETI 2016 - Taichung, 台灣
持續時間: 10月 28 201611月 1 2016

ASJC Scopus subject areas

  • 一般化學
  • 一般工程
  • 一般材料科學

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