Solution for Convergence Problem in DEMATEL Method: DEMATEL of Finite Sum of Influences

Decision-making trial and evaluation laboratory (DEMATEL) is one of the multicriteria decision-making methods based on asymmetric linguistic comparison matrices that has received a great deal of attention, and it is a widely used method in various fields. One of the drawbacks of DEMATEL is a converg...

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Bibliographic Details
Published inSymmetry (Basel) Vol. 15; no. 7; p. 1357
Main Authors Šmidovnik, Tjaša, Grošelj, Petra
Format Journal Article
LanguageEnglish
Published Basel MDPI AG 01.07.2023
Subjects
Convergence
convergence problem
Decision making
defuzzification
DEMATEL of a finite sum of influences
fuzzy numbers
Fuzzy sets
Influence
Methods
multicriteria decision-making
Multiple criterion
Numbers
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Summary:Decision-making trial and evaluation laboratory (DEMATEL) is one of the multicriteria decision-making methods based on asymmetric linguistic comparison matrices that has received a great deal of attention, and it is a widely used method in various fields. One of the drawbacks of DEMATEL is a convergence problem that may occur when the infinite sum of normalized influences does not converge. Based on the observations of some examples, the new concept of DEMATEL, the DEMATEL of a finite sum of influences (FSI DEMATEL), is proposed. Instead of an infinite sum, a finite sum of influences is used in FSI DEMATEL so that the convergence problem is avoided. The advantage is that FSI DEMATEL can handle more decision-making problems than the DEMATEL. It can also be used for fuzzy evaluations. FSI DEMATEL can be used as the multicriteria decision-making method to evaluate the relationships between the factors in many different fields.
ISSN:2073-8994
2073-8994
DOI:10.3390/sym15071357