The cosine measure of refined-single valued neutrosophic sets and refined-interval neutrosophic sets for multiple attribute decision-making

This paper introduces a Refined-Interval Neutrosophic Set (R-INS) as an extension of a Refined-Single Valued Neutrosophic Set (R-SVNS) and puts forward the decision-making models based on the Cosine Measures of R-SVNSs and Refined-Interval Neutrosophic Sets (R-INSs). By the cosine measure between every alternative and the ideal alternative, all the alternatives can be ranked with the measure values, and the best one of all alternatives can be selected. The proposed methods for multiple attribute decision making (MADM) are more clear (more refined) and the refined evaluation results are credible, so the proposed decision-making models are very suitable for handling with the decision-making problems with refined neutrosophic information.