A property of reductions in Fuzzy Variable Precision Rough Set model
Eric C.C. Tsang, Suyun Zhao, Cai-Li Zhou · 2011
In this paper, we use strict mathematics reasoning to discover the relation between the threshold and reduction in Fuzzy Variable Precision Rough Sets (FVPRS), i.e., the reductions act as a nested structure with the monotonously increasing threshold. By using the nested structure of reductions, we could design algorithms to quickly find different reductions when a reduction is required. Here `different' means the reductions obtained using different thresholds.