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] Department of Mathematics, Faculty of Science, Ajloun National University, Jordan
| [d] School of Mathematics and Statistics, Yulin University, Yulin, China
| [e] College of Information Science and Technology, Hainan Normal University, Haikou, China
Correspondence:
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Corresponding author. Sheng-Quan Ma, College of Information Science and Technology, Hainan Normal University, Haikou 571158, China. Tel.: +862989237362; E-mail: [email protected].
Note: [1] From proof of Proposition 3.10 we can see the associativity holds for arbitrary many T-NSSs over the common universe U.
Abstract: The aim of this paper is to correct the assertions (3) and (4) of Proposition 5.2 proposed by Alkhazaleh [Journal of Intelligent and Fuzzy Systems 30 (2016) 1087-1098]. Every notions involved are extend to the arbitrary set case in a clear, rigorous, and non-burdensome manner. A counterexample illustrates the flaw of the assertions. We introduce some new notions describing ‘subset’ of time-neutrosophic soft sets (T-NSSs for short) and ‘equal’ of T-NSSs, and give some examples and related propositions. Then we use these results to remedy the flaw of the assertions, and to improve the work of Alkhazaleh.
