A Creative Approach on Bipolar Neutrosophic Nano Topology
G.Gincy 1* , Dr.C.Janaki 2,W.F.Al Omeri 3
1,2Department of Mathematics, L.R.G. Government Arts College for Women, Tirupur-641604, Tamil Nadu, India.
3 Mathematics Department, Faculty of Science, Al-Balqa Applied University, Salt 19117, Jordan.
Emails : sigingeorgemathew@gmail.com ; janakicsekar@gmail.com ; wadeialomeri@bau.edu.jo
Abstract
In this article, Bipolar neutrosophic nano topology is introduced and some of its properties are studied. We found that, it is difficult to find a nano topology for every bipolar neutrosophic set. So we introduced a bipolar neutrosophic nano topology, which is a generalization of bipolar neutrosophic nano topology and its fundamental features are investigated with appropriate examples. This approach is used for real life multi criteria decision making situations. The practical problems may be solved by finding CORE values through the criterion reduction.One can apply the basis of the bipolar neutrosophic nano topology as the key factors of a particular decision making problem using topological reduction of attributes in complete or incomplete information system.
Keywords: Nano topology; Bipolar set, Fuzzy set; Neutrosophic set; Intuitionistic fuzzy set; Neutrosophic nano topology; Bipolar Neutrosophic set; Bipolar Neutrosophic nano topology; Bipolar Neutrosophic nano topology.