THE MODEL OF FUZZY VARIABLE PRECISION ROUGH SETS
One limitation of the fuzzy rough sets is its sensitivity to the perturbation of original numerical data.In this paper we construct a model of fuzzy variable precision rough sets (FVPRS) by combining the fuzzy rough sets and variable precision rough sets which is non-sensitive to the perturbation of the original numerical data.First, the fuzzy lower and upper approximations of FVPRS model are defined, and their properties are described.Second, the concepts of attributes reduction of FVPRS model, such as attributes reduct, core and positive region, etc, are defined.Third, a discernibility matrix is adopted to develop an algorithm to obtain all the attributes reduction of FVPRS.By the strict mathematical reasoning, we prove that the results obtained by the algorithm based on the discernibiltiy matrix are the exact attributes reducts of FVPRS.Finally, the experimental results demonstrate that the model of FVPRS is feasible and effective in the real problems.
Fuzzy rough sets Variable precision rough sets Triangular norm Discernibility matrix Attributes reduction
SU-YUN ZHAO ERIC C.C.TSANG DE-GANG CHEN
Department of computing, The Hong Kong Polytechnic University, Hung Horn, Kowloon, Hong Kong;Machine Department of computing, The Hong Kong Polytechnic University, Hung Horn, Kowloon, Hong Kong Department of Mathematics and Physics, North China Electric Power University, 102206, Beijing, P.R.C
国际会议
2007 International Conference on Machine Learning and Cybernetics(IEEE第六届机器学习与控制论国际会议)
香港
英文
3057-3062
2007-08-19（万方平台首次上网日期，不代表论文的发表时间）