DocumentCode
401714
Title
A fuzzy model of rough sets
Author
Zhao, Su-yun ; Wang, Xi-zhao
Author_Institution
Fac. of Mathematics & Comput. Sci., Hebei Univ., China
Volume
3
fYear
2003
fDate
2-5 Nov. 2003
Firstpage
1687
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;
fLanguage
English
Publisher
ieee
Conference_Titel
Machine Learning and Cybernetics, 2003 International Conference on
Print_ISBN
0-7803-8131-9
Type
conf
DOI
10.1109/ICMLC.2003.1259768
Filename
1259768
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