Extension of the DEMATEL method in an uncertain linguistic environment

Abstract

The decision making trial and evaluation laboratory (DEMATEL) method is a useful tool for analyzing correlations among factors using crisp values. However, the crisp values are inadequate to model real-life situations due to the fuzziness and uncertainty that are frequently involved in judgments of experts. The aim of this paper is to extend the DEMATEL method to an uncertain linguistic environment. In this paper, the correlation information among factors provided by experts is in the form of uncertain linguistic terms. A formula is first presented to transform correlation information from uncertain linguistic terms to trapezoidal fuzzy numbers. Then, we aggregate the transformed correlation information of each expert into group information using the operations of trapezoidal fuzzy numbers. The importance and classification of factors are determined via fuzzy matrix operations. Furthermore, a causal diagram is constructed to vividly show the different roles of factors. Finally, an example is used to illustrate the procedure of the proposed method.

DEMATEL Technique: A Systematic Review of the State-of-the-Art Literature on Methodologies and Applications

“…Abdullah and Zulkifli [200] reported an interval type 2 fuzzy DEMATEL (IT2-fuzzy DEMATEL) and combined it with fuzzy AHP for human resource management, where interval type 2 trapezoidal fuzzy numbers were used to resolve the relationships among dimensions and criteria. Nikjoo and Saeedpoor [201] presented an intuitionistic fuzzy DEMATEL approach to determine the key components of strengths, weaknesses, opportunities, and threats (SWOT) matrix, and Govindan et al [202] used the DEMATEL method with intuitionistic fuzzy sets (IFSs) to handle the important and causal relationships [205] presented an extension of DEMATEL method in an uncertain linguistic environment, which allows the judgments on the correlations between factors in the form of uncertain linguistic terms. Li et al [206] proposed an evidential DEMATEL method for identifying CFSs in emergency management, in which the evaluations of influencing factors expressed in intuitionistic fuzzy numbers (IFNs) were transformed into basic probability assignments (BPAs) and Dempster-Shafer (D-S) theory was used to obtain the group assessment BPA matrix.…”

Resilience Supplier Selection and order allocation under uncertainty

“…In this paper trapezoidal fuzzy DEMATEL is applied to map the interdependencies among MAs and find corresponding impact strength. Fuzzy trapezoidal numbers are expressed as follows [51]:…”

“…Where l , u , and g can be obtained according to following definitions: This paper follows the following fuzzy DEMATEL steps provided by [51,52] to map the interdependencies among MAs:…”

Generalized Hamacher Aggregation Operators for Intuitionistic Uncertain Linguistic Sets: Multiple Attribute Group Decision Making Methods

“…Wei [33] presented a method based on the uncertain linguistic hybrid geometric mean operator. Suo et al [34] studied the DEMATEL method under uncertain linguistic environments. Peng and Ye [35] developed a number of induced uncertain pure linguistic geometric aggregation operators.…”