The aim of this paper is to correct the assertions (3) and (4) of Proposition 3.6 proposed by Alkhazaleh [Journal of Intelligent and Fuzzy Systems 32 (2017) 4311-4318]. Every notions involved are extend to the arbitrary set case in a clear, rigorous, and non-burdensome manner. A counterexample is given to illustrate the flaw of the assertions. Then we introduce two new notions describing ‘subset’ of n-valued refined neutrosophic soft sets (n-VRNSs for short) and ‘equal’ of n-VRNSs, and give some examples and related propositions. Finally, we use these results to remedy the flaw of the assertions, and to improve the work of Alkhazaleh.
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