A necessary and sufficient condition for two relations to induce the same definable set family
Artificial Intelligence
2013-10-10 v1
Abstract
In Pawlak rough sets, the structure of the definable set families is simple and clear, but in generalizing rough sets, the structure of the definable set families is a bit more complex. There has been much research work focusing on this topic. However, as a fundamental issue in relation based rough sets, under what condition two relations induce the same definable set family has not been discussed. In this paper, based on the concept of the closure of relations, we present a necessary and sufficient condition for two relations to induce the same definable set family.
Keywords
Cite
@article{arxiv.1310.2396,
title = {A necessary and sufficient condition for two relations to induce the same definable set family},
author = {Hua Yao and William Zhu},
journal= {arXiv preprint arXiv:1310.2396},
year = {2013}
}
Comments
13 pages