Abstract
In this paper, we propose three similarity measure methods for single-valued neutrosophic refined sets and interval neutrosophic re¯ned sets based on Jaccard, Dice and Cosine similarity measures of single-valued neutrosophic sets and interval neutrosophic sets. Furthermore, we suggest two multi-criteria decision making methods under single-valued neutrosophic refined environment and interval neutrosophic refined environment, and give applications of proposed multi-criteria decision making methods. Finally we suggest a consistency analysis method for proposed similarity measures between interval neutrosophic refined sets and give an application to demonstrate process of the method.
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