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An Evaluation of the Balance and Variation of Dematels by Using Liu's Integrated Validity Index
Volume 14, Issue 3 (2016), pp. 509–518
Hsiang-Chuan Liu   Wei-Sung Chen   Wei-Guang Tsaur     All authors (5)

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https://doi.org/10.6339/JDS.201607_14(3).0007
Pub. online: 4 August 2022      Type: Research Article      Open accessOpen Access

Published
4 August 2022

Abstract

Abstract: This paper, evaluates and compares the heterogeneous balance variation order pair of any two decision-making trial and evaluation laboratory (DEMATEL) theories, in which one has a larger balance and a smaller variation. In contrast, the other one has a smaller balance and a larger variation. With this said, the first author proposed a useful integrated validity index to evaluate any DEMATEL theory presence by combining Liu's balanced coefficient and Liu's variation coefficient. Applying this new validity index, three DEMATELs kinds with a same direct relational matrix are compared that are: the traditional, shrinkage, and balance. Furthermore, conducted is a simple validity experiment Results. show that the balance DEMATEL has the best performance. And that, the shrinkage coefficient's performance is better than that of the traditional DEMATEL.

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Keywords
DEMATEL indirect relational matrix balance coefficient

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