TY - JOUR
T1 - A generalized DEMATEL theory with a shrinkage coefficient for an indirect relation matrix
AU - Liu, Hsiang Chuan
AU - Shia, Ben Chang
AU - Ou, Yih Chang
AU - Su, Huan Wen
N1 - Publisher Copyright:
© The Authors, published by EDP Sciences, 2017.
PY - 2017/8/4
Y1 - 2017/8/4
N2 - 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.
AB - 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.
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U2 - 10.1051/matecconf/201711901020
DO - 10.1051/matecconf/201711901020
M3 - Conference article
AN - SCOPUS:85028318328
SN - 2261-236X
VL - 119
JO - MATEC Web of Conferences
JF - MATEC Web of Conferences
M1 - 01020
T2 - 5th International Multi-Conference on Engineering and Technology Innovation, IMETI 2016
Y2 - 28 October 2016 through 1 November 2016
ER -