On characterization of generalized interval type-2 fuzzy rough sets

2013 ◽  
Vol 219 ◽  
pp. 124-150 ◽  
Author(s):  
Zhiming Zhang
Keyword(s):  
Rough Sets ◽  
Fuzzy Rough Sets ◽  
Interval Type

Belief and plausibility functions of type-2 fuzzy rough sets

2019 ◽  
Vol 105 ◽  
pp. 194-216 ◽  
Author(s):  
Juan Lu ◽  
De-Yu Li ◽  
Yan-Hui Zhai ◽  
He-Xiang Bai
Keyword(s):  
Rough Sets ◽  
Fuzzy Rough Sets

A model for type-2 fuzzy rough sets

2016 ◽  
Vol 328 ◽  
pp. 359-377 ◽  
Author(s):  
Juan Lu ◽  
De-Yu Li ◽  
Yan-Hui Zhai ◽  
Hua Li ◽  
He-Xiang Bai
Keyword(s):  
Rough Sets ◽  
Fuzzy Rough Sets

scholarly journals On Characterization of Rough Type-2 Fuzzy Sets

2016 ◽  
Vol 2016 ◽  
pp. 1-13
Author(s):  
Tao Zhao ◽  
Zhenbo Wei
Keyword(s):  
Fuzzy Sets ◽  
Set Theory ◽  
Fuzzy Set ◽  
Rough Sets ◽  
Approximation Space ◽  
Fuzzy Approximation ◽  
Approximation Operators ◽  
Sets Theory

Rough sets theory and fuzzy sets theory are important mathematical tools to deal with uncertainties. Rough fuzzy sets and fuzzy rough sets as generalizations of rough sets have been introduced. Type-2 fuzzy set provides additional degree of freedom, which makes it possible to directly handle high uncertainties. In this paper, the rough type-2 fuzzy set model is proposed by combining the rough set theory with the type-2 fuzzy set theory. The rough type-2 fuzzy approximation operators induced from the Pawlak approximation space are defined. The rough approximations of a type-2 fuzzy set in the generalized Pawlak approximation space are also introduced. Some basic properties of the rough type-2 fuzzy approximation operators and the generalized rough type-2 fuzzy approximation operators are discussed. The connections between special crisp binary relations and generalized rough type-2 fuzzy approximation operators are further examined. The axiomatic characterization of generalized rough type-2 fuzzy approximation operators is also presented. Finally, the attribute reduction of type-2 fuzzy information systems is investigated.

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