On New Concepts of Weakly Neutrosophic Continuous Functions

Ali H. M. Al-Obaidi¹, Q. Hatem Imran^2*, Said Broumi³

¹Department of Mathematics, College of Education for Pure Science, University of Babylon, Hillah, Iraq.

²Department of Mathematics, College of Education for Pure Science, Al-Muthanna University, Samawah, Iraq.

³Laboratory of Information Processing, Faculty of Science Ben M’Sik, University Hassan II, B.P 7955, Morocco.

Emails: aalobaidi@uobabylon.edu.iq; qays.imran@mu.edu.iq; broumisaid78@gmail.com

                                                                 *Correspondence: qays.imran@mu.edu.iq                                               

Abstract

In this paper, we intend to utilize the ideas of Neu^α-open and Neu^sα-open  sets to distinguish several novel conceptions of weakly neutrosophic continuous functions, for instance; -continuous, Neu^α**-continuous , Neu^sα-continuous, Neu^sα*-continuous and Neu^sα**-continuous functions. Moreover, we will describe the interactions among these thoughts of weakly neutrosophic continuous functions.

Mathematics Subject Classification (2010): 54A05, 54B05.

Keywords: Neu^sα-open set, Neu^α-continuous, Neu^α*-continuous, Neu^α**-continuous , Neu^sα-continuous, Neu^sα*-continuous  and Neu^sα**-continuous functions.