[1]WANG Jinying,HAN Xiaobing,WANG Yanping.Type-2 intuitionistic fuzzy rough sets[J].CAAI Transactions on Intelligent Systems,2015,10(6):943-948.[doi:10.11992/tis.201412013]
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Type-2 intuitionistic fuzzy rough sets
CAAI Transactions on Intelligent Systems[ISSN 1673-4785/CN 23-1538/TP] Volume:
10
Number of periods:
2015 6
Page number:
943-948
Column:
学术论文—知识工程
Public date:
2015-12-25
- Title:
- Type-2 intuitionistic fuzzy rough sets
- Keywords:
- intuitionistic fuzzy sets; rough sets; type-2 fuzzy sets; type-2 intuitionistic fuzzy sets; type-2 intuitionistic fuzzy rough sets; approximation operators
- CLC:
- TP301;O236
- DOI:
- 10.11992/tis.201412013
- Abstract:
- In this study, we integrate the theories of type-2 intuitionistic fuzzy sets and rough sets to construct a type-2-intuitionistic-fuzzy-and-rough-sets model. First, in type-2 intuitionistic fuzzy approximation space, we define a pair of type-2 intuitionistic fuzzy upper and lower approximation operators. We then discuss specific changes in these upper and lower approximation operators for a situation in which the type-2 intuitionistic fuzzy relations degenerate into common type-2-fuzzy and general-equivalence relations. Next, we generalize the definition of the inclusion relation between general type-2 fuzzy sets as type-2 intuitionistic fuzzy sets. On this basis, we then explored the properties of type-2-intuitionistic-fuzzy upper and lower approximation operators. We then defined reflexive, symmetric, and transitive type-2 intuitionistic fuzzy relations. Finally, we discuss the relations between these three special type-2 intuitionistic fuzzy relations and the characteristics of their approximation operators. Conclusions drawn in this study further enrich the theories of type-2 intuitionistic fuzzy and rough sets and establish a good theoretical basis for the application of the type-2 intuitionistic fuzzy information system.
- References:
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Last Update:
1900-01-01