A new approach to soft set through applications of cubic set
Logic
2012-10-25 v1
Abstract
The notions of (internal, external) cubic soft sets, P-(R-)order,P-(R-)union, P-(R-)intersection and P-OR, R-OR, P-AND and R-AND are introduced, and related properties are investigated. We show that the P-union and the P-intersection of internal cubic soft sets are also internal cubic soft sets. We provide conditions for the P-union (resp. P-intersection) of two external cubic soft sets to be an internal cubic soft set. We give conditions for the P-union (resp. R-union and R-intersection) of two external cubic soft sets to be an external cubic soft set. We consider conditions for the R-intersection (resp.P-intersection) of two cubic sof sets to be both an external cubic soft set and an internal cubic soft set.
Keywords
Cite
@article{arxiv.1210.6517,
title = {A new approach to soft set through applications of cubic set},
author = {S. Abdullah and I. Khan and M. Aslam},
journal= {arXiv preprint arXiv:1210.6517},
year = {2012}
}