209 126
Full Length Article
Volume 12 , Issue1, PP: 13-28 , 2020

Title

An Introduction to Neutro-Fine Topology with Separation Axioms and Decision Making

Authors Names :   V. Chinnadurai   1     M. P. Sindhu   2  

1  Affiliation :  Department of Mathematics, Annamalai University, Annamalainagar, TN, India

    Email :  kv.chinnaduraimaths@gmail.com


2  Affiliation :  Department of Mathematics, Karpagam College of Engineering, Coimbatore, TN, India

    Email :  sindhu.mp@kce.ac.in



Doi   :  10.5281/zenodo.4247867

Received: July 17, 2020 Accepted: Octobre 28, 2020

Abstract :

 

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.

 

Keywords :

 Subset of neutrosophic sets , neutro-fine sets (NFSs) , neutro-fine topological space (NFTS) , neutro-fine open sets (NFOSs) , neutro-fine interior and closure , neutro-fine -spaces , absolute complement , decision making (DM).

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