Title :
A fuzzy model of rough sets
Author :
Zhao, Su-yun ; Wang, Xi-zhao
Author_Institution :
Fac. of Mathematics & Comput. Sci., Hebei Univ., China
Abstract :
In order to improve the reasoning ability of rough sets, this paper generalizes the Pawlark´s rough set model to the fuzzy environment. Fuzzy indiscernibility relation is proposed in this paper to replace Pawlark´s underlining indiscernibility relation. A number of fundamental concepts of Pawlark´s rough set theory such as the kernel and reduct are extended. Furthermore, this paper proposes the fuzzy discernibility matrix. Based on this matrix, a fast and simple approach to obtaining the fuzzy kernel and reduct is given.
Keywords :
fuzzy set theory; inference mechanisms; matrix algebra; rough set theory; Pawlark rough set model; fuzzy discernibility matrix; fuzzy indiscernibility relation; fuzzy model; Computer science; Electronic mail; Fuzzy reasoning; Fuzzy set theory; Fuzzy sets; Kernel; Mathematical model; Mathematics; Rough sets; Set theory;
Conference_Titel :
Machine Learning and Cybernetics, 2003 International Conference on
Print_ISBN :
0-7803-8131-9
DOI :
10.1109/ICMLC.2003.1259768
