Similarity measure of interval neutrosophic sets and its applications to multicriteria decision making problems

Although some methods about the similarity measure between neutrosophic sets have been presented recently, the number of studies on the similarity measure of interval-valued neutrosophic sets is very few. The similarity measures that exist in the literature are not sufficient in solving the still uncertain multi-criteria decision-making problems. Therefore, in this study, it is aimed to gain a new similarity measure to the literature and use it in the solution and to facilitate the resolution of decision-making problems. In more general terms, the shortcomings of similarity measures that exist in the literature have been identified, and a new interval-valued neutrosophic set-based similarity measure has been defined. By comparing the newly defined similarity measure with the existing similarity measures, the situations where the new measure is superior are determined. As a result of the study, two models were constructed by applying the similarity measure first to a similarity-based decision making method and then to the MABAC method, one of the multi-criteria decision making methods. After solving a decision-making problem, the results were compared with other similarity measures and interpreted.