Affiliations: [a]
College of Mathematics and Information Science, Shaanxi Normal University, Xi’an, P.R. China | [b]
Department of Mathematics, Faculty of Science, Al-Azhar University, Assiut, Egypt
| [c]
School of Mathematics and Statistics, Yulin University, Yulin, China
| [d]
College of Information Science and Technology, Hainan Normal University, Haikou, China
Correspondence:
[*]
Corresponding author. Sheng-Quan Ma, College of Information Science and Technology, Hainan Normal University, Haikou 571158. E-mail: mashengquan@163.com.
Abstract: 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.
