Several Trigonometric Hamming Similarity Measures of Rough Neutrosophic Sets and their Applications in Decision Making

In 2014, Broumi et al. (S. Broumi, F. Smarandache, M. Dhar, Rough neutrosophic sets, Italian Journal of Pure and Applied Mathematics, 32 (2014), 493-502.) introduced the notion of rough neutrosophic set by combining neutrosophic sets and rough sets, which has been a mathematical tool to deal with problems involving indeterminacy and incompleteness. The real world is full of indeterminacy. Naturally, real world decision making problem involves indeterminacy. Rough neutrosophic set is capable of describing and handling imprecise, indeterminate and inconsistent and incomplete information. This paper is devoted to propose several new similarity measures based on trigonometric hamming similarity operators of rough neutrosophic sets and their applications in decision making. We prove the required properties of the proposed similarity measures. To illustrate the applicability of the proposed similarity measures in decision making, an illustrative problem is solved.