Abstract
In this paper, for evaluating and comparing the heterogeneous balance-variation order pair of any two decision-making trial and evaluation laboratory (DEMATEL) theories, in which one has larger balance and smaller variation, and on the contrary, the other one has smaller balance and larger variation, the first author proposed a useful integrated validity index to evaluate any DEMATEL theory by combining Liu's balanced coefficient and Liu's variation coefficient .Using this new validity index, three kinds of DEMATELs with a same direct relational matrix, including the traditional DEMATEL, shrinkage DEMATEL and balance DEMATEL, are compared, a simple validity experiment is conducted, the results show that the balance DEMATEL has the best performance, the performance of the shrinkage coefficient is better than that of the traditional DEMATEL.
Highlights
IntroductionThe indirect relation of a traditional Decision Making Trial and Evaluation Laboratory (DEMATEL) is always far greater than its direct relation, because the indirect relation matrix does not normalized as that of the direct relational matrix, the traditional DEMADEL is unfair and inaccuracy [5,6], and two improved DEMATELs, the shrinkage DEMATEL and the balanced DEMATEL were proposed, in which the balanced coefficient and variation coefficient are provided, the balanced coefficient can be used to evaluate the balance degree between indirect influences and direct influences of the DEMATEL
Decision Making Trial and Evaluation Laboratory (DEMATEL) was developed between 1972 to 1979 by Science and Human Affairs Program of the Battelle Memorial Institute of Geneva [1]
We know that the traditional DEMATEL always has smaller balance coefficient and larger variation coefficient, since the indirect influence is larger, and we want to obtain larger balance coefficient and larger variation coefficient
Summary
The indirect relation of a traditional DEMATEL is always far greater than its direct relation, because the indirect relation matrix does not normalized as that of the direct relational matrix, the traditional DEMADEL is unfair and inaccuracy [5,6], and two improved DEMATELs, the shrinkage DEMATEL and the balanced DEMATEL were proposed, in which the balanced coefficient and variation coefficient are provided, the balanced coefficient can be used to evaluate the balance degree between indirect influences and direct influences of the DEMATEL. If the indirect influences and direct influences of the DEMATEL are balanced, the variation coefficient can be used to evaluate the variation degree of the relation prominence. 384 Evaluation of the Balance and Variation of DEMATELs by Using Liu's Integrated Validity Index matrix of the DEMATE.
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