Introduction to neutrosophic soft topological spatial region

Abstract

Spatial information often deals with regions which are vague or incompletely determined. Understanding vagueness, indeterminacy and imprecision are the most important in GIS. Smarandache’s neutrosophic set is a computational method to tackle problems involving incomplete, infinite and reliable data. The definition of soft sets was introduced by Molodtsov as a new mathematical method to tackle uncertainty. Maji presented the Neutrosophic Soft Set theory. This paper provides concepts of a neurtrosophic soft spatial region for its possible application in GIS. The notions of neutrosophic soft α-open, neutrosophic soft pre-open, neutrosophic soft semi-open and neutrosophic soft β-open sets are introduced.

Keywords

• neutrosophic soft set; neutrosophic soft topology; neutrosophic soft connected; neutrosophic soft spatial region; gis.