Computer Science ›› 2013, Vol. 40 ›› Issue (4): 221-226.

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Rough Approximations of Intuitions Fuzzy Sets in Fuzzy Approximation Space

XUE Zhan-ao,CHENG Hui-ru,HUANG Hai-song and XIAO Yun-hua   

  • Online:2018-11-16 Published:2018-11-16

Abstract: Combination of Rough sets and intuitionistic fuzzy sets is a new research hot topic.With fuzzy equivalent relation,the intuitionstic fuzzy rough approximation operators were reconstructed in fuzzy approximation space,and their properties were proved based on γoperator and complementary operatorγ in the fuzzy approximation space.The λ upper (lower) approximation was presented,and λ upper (lower) approximation of αβ-cut set was presented,and their properties were proved in fuzzy approximation space.Furthermore,the rough degree ραβA of the intuitionstic fuzzy sets was introduced,and the rough degree of αβ-cut set was introduced in fuzzy approximation space,and their properties were discussed.

Key words: Fuzzy approximation space,Fuzzy relation,Rough approximation operator,Rough degree

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