Turkish Journal of Mathematics
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.
DOI
10.3906/mat-1907-99
Keywords
$N$-soft sets, $N$-soft operations, $N$-soft groups, $N$-soft rings, $N$-soft fields, $N$-soft lattices
First Page
2356
Last Page
2379
Recommended Citation
KAMACI, H (2020). Introduction to $N$-soft algebraic structures. Turkish Journal of Mathematics 44 (6): 2356-2379. https://doi.org/10.3906/mat-1907-99