Abstract
Nowadays the multi-criteria decision making is very complicated due to uncertainty, vagueness, limited sources, knowledge and time. The Decision-making Trial and Evaluation Laboratory (DEMATEL) method is a widely used multi-criteria decision-making method to analyze the structure of a complex system. It is useful in analysing the cause and effect relationships between the components of the system. Fuzzy sets can be used to include uncertainty in multi-criteria decision making. Linguistic assessments of decision makers can be translated into fuzzy numbers. In this study, fuzzy numbers, intuitionistic fuzzy numbers and neutrosophic fuzzy numbers were used for the decision makers evaluations in the DEMATEL method. The aim of this study was to evaluate how different types of fuzzy numbers affect the final results. An application of risk in construction projects was selected from the literature, where seven experts used a linguistic scale to evaluate different criteria. The results showed that there are only slight differences between the weights of the criteria with regard to the type of fuzzy numbers.
Highlights
Nowadays the multi-criteria decision making is very complicated due to uncertainty, vagueness, limited sources, knowledge and time
Intuitionistic fuzzy sets are a generalization of fuzzy sets and are characterized by membership and non-membership functions with a sum less than or equal to 1
Neutrosophic fuzzy sets are a generalization of intuitionistic sets and introduce an indeterminacy membership function in addition to the membership and non-membership function
Summary
DEMATEL was first developed by the Geneva Research Centre of the Battelle Memorial Institute to visualize the structure of complicated causal relationships by means of matrices of digraphs. It is useful in analysing the cause- and effect- relationships between the components of the system. Step 2: Generate the direct-influence matrix D: Experts assess the influence between each pair of criteria. [dkij], where Dk is n x n matrix and dkij indicates the assessments of expert k in relation to the direct influence of factor i on factor j. X=[xij] is the normalized direct-relation matrix, where xij is calculated as follows xij =.
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