Construction of rough approximations in fuzzy setting

Authors:
Xueyou Chen;Qingguo Li
Affiliations:
School of Mathematics and Economics, Hunan University, Changsha, Hunan 410012, P.R. China and School of Mathematics and Information Science, Shandong University of Technology, Zibo, Shandong 25504 ...;School of Mathematics and Economics, Hunan University, Changsha, Hunan 410012, P.R. China
Venue:
Fuzzy Sets and Systems
Year:
2007

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Abstract

In this paper, two L-rough approximation operators are defined by an arbitrary mapping from the set of all singletons to the set of all L-sets, which is a graded extension of Jarvinen's method. It also provides a convenient method to compute rough sets in fuzzy setting. Then the algebraic structure of rough sets and the relation to L-topology are investigated. In the end, three special cases are discussed: @f is extensive, symmetric, and intensive.