Abstract
The fuzzy decision-making trial and evaluation laboratory (fuzzy DEMATEL) has been used to solve various multi-criteria group decision-making problems where triangular fuzzy numbers are utilized in defining decision makers’ linguistic judgements. Most of the fuzzy DEMATEL modifications are built from linguistic variables based on fuzzy sets. Recent literature suggests that Pythagorean fuzzy sets (PFS) can offer a better alternative particularly when fuzzy sets have some extent of limitations in handling vagueness and uncertainty. This paper proposes a modification fuzzy DEMATEL characterized by PFS for linguistic variables. Differently from the typical fuzzy DEMATEL which directly utilizes triangular fuzzy numbers with a single membership, this modification introduces membership and non-membership of PFS to enhance judgements in the group decision-making environment. The proposed method has a number of attractive features. It includes linguistic variables, expert’s weights, and score function, in which all of these features are expressed by PFS. The proposed modification is applied to a case of solid waste management (SWM) where ten criteria are considered in assessment. Six experts in SWM were invited to provide linguistic judgments with respect to the criteria, and the eleven-step computational procedure of the proposed method was implemented without losing the general structure of the DEMATEL method. The results unveiled that four criteria are identified as ‘cause group’ and six criteria are identified as ‘effect group’ in SWM. The grouping of criteria would help policy makers in identifying the criteria that could enhance the efficiency of SWM.
Highlights
The decision-making trial and evaluation laboratory (DEMATEL) is one of the multi-criteria decision making (MCDM) methods that purposely used for building and analysing a structural model
To bridge the literature gap between the DEMATEL based on Pythagorean fuzzy sets (PFS) and other MCDM methods, this paper proposes a modified DEMATEL based on PFS and applies the proposed method to the case of solid waste management (SWM)
The DEMATEL has been combined with intuitionistic fuzzy set (IFS) to address uncertain and vague information in solving MCDM problems
Summary
The decision-making trial and evaluation laboratory (DEMATEL) is one of the multi-criteria decision making (MCDM) methods that purposely used for building and analysing a structural model. Developing the causal relationships between complex criteria in MCDM problems are the ultimate aim behind the structural model. The strength of DEMATEL method lies on the applications of decision matrices and digraphs to consider the structure of complicated causal relationships [24]. The DEMATEL is practical and useful for visualizing the structure of complicated causal relationships between criteria using digraphs. The causal diagram uses digraphs rather than directionless graphs to portray the basic concept of contextual relationships and the strengths of influence among the elements. Owing to these advantages, the DAMATEL has been applied in many recent MCDM problems (see [10, 21, 34])
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