Title :
A property of reductions in Fuzzy Variable Precision Rough Set model
Author :
Tsang, Eric C C ; Zhao, Su-yun ; Zhou, Cai-Li
Author_Institution :
Fac. of Inf. Technol., Macau Univ. of Sci. & Technol., Macau, China
Abstract :
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.
Keywords :
fuzzy set theory; rough set theory; FVPRS; fuzzy variable precision rough set model; mathematics reasoning; Approximation methods; Computational modeling; Cybernetics; Educational institutions; Fuzzy sets; Machine learning; Rough sets; Approximation operators; Granular representation; IVFRS;
Conference_Titel :
Machine Learning and Cybernetics (ICMLC), 2011 International Conference on
Conference_Location :
Guilin
Print_ISBN :
978-1-4577-0305-8
DOI :
10.1109/ICMLC.2011.6016730
