An Introduction to  M-Open Sets in Fuzzy Neutrosophic Topological Spaces

Zahraa A. Khalaf, Fatimah M. Mohammed^*

Department of  Mathematics, College of  Education for Pure Sciences, Tikrit University, Tikrit, IRAQ

Emails: zahraa.ahmed.k@st.tu.edu.iq ; dr.fatimahmahmood@tu.edu.iq

^*Corresponding author: dr.fatimahmahmood@tu.edu.iq

Abstract

A new classes of sets called fuzzy neutrosophic M-open sets and fuzzy neutrosophic M-Closed sets in fuzzy neutrosophic topology are introduced some characterizations of these notions have been presented.   After given the fundamental definitions of the new notions, we studided some theorems, propositions and some necessary relations with examples related to these notions had been discussed.

Keywords: Fuzzy Neutrosophic Sets (FNS); Fuzzy Neutrosophic M-Open Set(FNM-OS); Fuzzy Neutrosophic M-Closed Set(FNM-CS); Fuzzy Neutrosophic Topology (FNT).