Introduction to N -soft algebraic structures

Abstract

This paper is dedicated to two main objectives. The first of these is to develop some new operations on N -soft set, which is the generalization of soft set. The second is to highlight the concepts of N -soft group, N -soft ring, N -soft ideal, completely semiprime N -soft ideal, N -soft field and N -soft lattice. Moreover, in this study, it is attempted to derive certain properties for these concepts and to analyze the relations between them.