Some Perfectly Continuous Functions via Fuzzy Neutrosophic Topological Spaces

Tunis M. Ali, Fatimah M. Mohammed^*   

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

Emails: tunis.m.ali@st.tu.edu.iq; dr.fatimahmahmood@tu.edu.iq

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

Abstract

Our purpose in this paper, is to introduce some of new continuous functions, called fuzzy neutrosophic perfectly continuous, fuzzy neutrosophic almost perfectly continuous and fuzzy neutrosophic strongly continuous in the fuzzy neutrosophic topological spaces. We give some theorems, propositions and some necessary examples related to presented definitions. Then, we discuss the relations among the new defined functions.

Keywords: Fuzzy Neutrosophic Sets; Fuzzy Neutrosophic Topology; Fuzzy Neutrosophic Perfectly Continuous; Fuzzy Neutrosophic Almost Perfectly Continuous; Fuzzy Neutrosophic Strongly Continuous.