International Journal of Neutrosophic Science
IJNS
2690-6805
2692-6148
10.54216/IJNS
https://www.americaspg.com/journals/show/627
2020
2020
An Introduction to Neutro-Fine Topology with Separation Axioms and Decision Making
Department of Mathematics, Annamalai University, Annamalainagar, TN, India
admin
admin
Department of Mathematics, Karpagam College of Engineering, Coimbatore, TN, India
M. P.
Sindhu
The set which describes the uncertainty incident with three levels of attributes is entitled as a neutrosophic set. The unique collection of open sets which contains all types of open sets is termed as fine-open sets. The current study introduces a topology on merging these two sets, called neutro-fine topological space. Additionally, the approach of separation axioms is implemented in such space. Furthermore, the real-life application is examined as a decision-making problem in this space. The problem is to make an unfavorable query into a favorable one by determining the complement and absolute complement of such issued neutro-fine open sets. This problem desires to find a positive solution. The solving stepwise mechanism reveals in the algorithm, also formulae provide to compute the outcome with explanatory examples.
2020
2020
13
28
10.54216/IJNS.120103
https://www.americaspg.com/articleinfo/21/show/627