Neutrosophic Boundary and Neutrosophic Semi-boundary on Fuzzy Setting

E. Poongothai^1,*, E. Kalaivani²

¹Associate Professor, PG & Research Department of Mathematics, Shanmuga Industries Arts and Science College, Tiruvannamalai-606603, Tamilnadu, India

²Ph.D(Full-time) Research Scholar, PG & Research Department of Mathematics, Shanmuga Industries Arts and Science College, Tiruvannamalai-606 603, Tamilnadu, India

Emails: epoongothai5@gmail.com; kalai12feb@gmail.com

Abstract

The aim of this paper is to introduce the concept of fuzzy neutrosophic boundary and fuzzy neutrosophic semi-boundary of a fuzzy neutrosophic topological space. Some characterization are discussed. Several examples and properties are obtained.The aim of this paper is to introduce the concept of fuzzy neutrosophic boundary and fuzzy neutrosophic semi-boundary of a fuzzy neutrosophic topological space. Some characterization are dis- cussed. Several examples and properties are obtained.

Keywords: Fuzzy neutrosophic open; Fuzzy neutrosophic closed; Fuzzy neutrosophic semi-open; Fuzzzy neutrosophic semi-closed; Fuzzy neutrosophic semi-interior; Fuzzy neutrosophic semi-closure; Fuzzy neutrosophic boundary; Fuzzy neutrosophic semi-boundary