Similarity measures between interval neutrosophic sets and their multicriteria decision-making method

An interval neutrosophic set is an instance of a neutrosophic set, which can be used in real scientific and engineering applications. In the paper, the Hamming and Euclidean distances between interval neutrosophic sets (INSs) are defined and the similarity measures between INSs are proposed based on the relationship between similarity measures and distances. Then a multicriteria decision-making method is established in interval neutrosophic setting, in which criterion values for alternatives are INSs and the criterion weights are known information. We utilize the similarity measures between each alternative and the ideal alternative to rank the alternatives and to determine the best one. Finally, an illustrative example demonstrates the application of the proposed decision-making method.