DocumentCode :
2244300
Title :
On intuitionistic fuzzy rough set algebras
Author :
Xu, You-Hong ; Wu, Wei-Zhi
Author_Institution :
Sch. of Math., Phys. & Inf. Sci., Zhejiang Ocean Univ., Zhoushan, China
Volume :
2
fYear :
2010
fDate :
11-14 July 2010
Firstpage :
581
Lastpage :
586
Abstract :
An intuitionistic fuzzy rough set is a pair of intuitionistic fuzzy sets resulting from the approximation of an intuitionistic fuzzy set in an intuitionistic fuzzy approximation space. An intuitionistic fuzzy rough set algebra is an intuitionistic fuzzy set algebra with added dual pair of intuitionistic fuzzy rough approximation operators. In this paper, we study the mathematical structures of intuitionistic fuzzy rough set algebras. We first define the concept of intuitionistic fuzzy rough set algebras by the axiomatic approach. We then examine the properties of intuitionistic fuzzy rough approximation operators in different types of intuitionistic fuzzy rough set algebras. We also prove that if a system (IF(U), ∩, ∪, ~, L, H) is an (respectively, a serial, a reflexive, a symmetric, a transitive, a topological, a similarity) intuitionistic fuzzy rough set algebra, then the derived system (IF(U), ∩, ∪, ~, LL, HH) is also an (respectively, a serial, a reflexive, a symmetric, a transitive, a topological, a similarity) intuitionistic fuzzy rough set algebra.
Keywords :
algebra; fuzzy set theory; mathematical operators; rough set theory; axiomatic approach; intuitionistic fuzzy approximation space; intuitionistic fuzzy rough set algebra; mathematical structure; Algebra; Approximation methods; Educational institutions; Intuitionistic fuzzy rough sets; intuitionistic fuzzy rough set algebras; intuitionistic fuzzy sets; rough sets;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Machine Learning and Cybernetics (ICMLC), 2010 International Conference on
Conference_Location :
Qingdao
Print_ISBN :
978-1-4244-6526-2
Type :
conf
DOI :
10.1109/ICMLC.2010.5580541
Filename :
5580541
Link To Document :
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