Affiliations: [a] Department of Mathematics and Statistics, Riphah International University, Sector I -14, Islamabad, Pakistan
| [b] Department of Mathematics and Statistics, Jordan University of Science and Technology, Irbid, Jordan
| [c] Department of Mathematics, Qurtuba University of Science and Technology Peshawar, Pakistan
| [d] Department of Humanities and Basic Sciences, MCS, National University of Sciences and Technology, Islamabad, Pakistan
Correspondence:
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Corresponding author. Samer Al Ghour, Department of Mathematics and Statistics, Jordan University of Science and Technology, Irbid, Jordan. E-mail: algore@just.edu.jo.
Abstract: In this article, new definition of neutrosophic soft ** b-open set is introduced with the help of neutrosophic soft α-open set and neutrosophic soft β-open set. With the application of this new definition some neutrosophic soft separation axioms and neutrosophic soft other separation axioms are addressed with respect to soft points of the spaces. Suitable examples are provided for the clarification of different results. Soft countability results and its engagements with different other neutrosophic soft results are studied. In continuation, characterization of Bolzano Weirstrass Property with respect to neutrosophic soft results and neutrosophic soft compactness results are inaugurated.
Keywords: Neutrosophic soft set (NSS), neutrosophic soft point, neutrosophic soft ** b-open set and neutrosophic ** b-separation axioms
