Neutrosophic Separation Axioms

Abstract

Neutrosophic set, developed by Smarandache, is characterized by a truth membership function, an indeterminacy function and a falsity membership function. Neutrosophic sets have been employed to model uncertainty in several areas of application such as decision making, pattern recognition, image segmentation, etc. Neutrosophic separation axioms are interesting concepts via neutrosophic topology. In this paper, we introduce the notion of neutrosophic Ti-spaces (i = 0, 1, 2, 3, 4) via neutrosophic topological spaces, and investigate their different properties. By defining neutrosophic Ti-spaces (i = 0, 1, 2, 3, 4), we prove some interesting results on neutrosophic separation axioms via neutrosophic topological spaces.