The Dice similarity measure between generalized trapezoidal fuzzy numbers based on the expected interval and its multicriteria group decision-making method

This article proposes the similarity measure based on the expected interval of generalized trapezoidal fuzzy numbers (GTFNs) (called the expected similarity measure between GTFNs) and its group decision making method. The expected similarity measure combines the concepts of the expected interval of GTFNs and the Dice similarity measure between two vectors for calculating the degree of similarity between GTFNs. A group decision-making method is established based on the expected similarity measure and the expected weight value for solving the multicriteria group decision-making problem under linguistic information, in which the criteria weights and values are given with the linguistic values of GTFNs with respect to the nine linguistic terms. Through the weighted expected similarity measure between each alternative and the ideal alternative, the ranking order of all the alternatives can be determined and the best one(s) is easily identified as well. A practical example shows that the proposed method is applicable.