TY - JOUR
T1 - Positive domain reduction in intuitionistic fuzzy objective information systems
AU - Bao, Zhongkui
AU - Yang, Shanlin
PY - 2015/4/1
Y1 - 2015/4/1
N2 - The classical rough set theory can not be directly used to reduce knowledge for intuitionistic fuzzy objective information systems. To solve this problem, dominance relation was firstly introduced to intuitionistic fuzzy objective information systems, and intuitionistic fuzzy rough set based on dominance relation was defined. Then, the notion of the relative positive domain and the significance of attributes in classical rough set theory were generalized to intuitionistic fuzzy objective information systems, while the monotone property of the relative positive domain was investigated. According to the different characteristics of attributes and the definition of positive domain reduction, the judgment theorem for positive domain reduction was given, the positive domain reduction algorithm using attribute significance as heuristic information was presented, and the complexity analysis of the algorithm was given. Finally, the effectiveness of the proposed algorithm was illustrated with comparative experiments.
AB - The classical rough set theory can not be directly used to reduce knowledge for intuitionistic fuzzy objective information systems. To solve this problem, dominance relation was firstly introduced to intuitionistic fuzzy objective information systems, and intuitionistic fuzzy rough set based on dominance relation was defined. Then, the notion of the relative positive domain and the significance of attributes in classical rough set theory were generalized to intuitionistic fuzzy objective information systems, while the monotone property of the relative positive domain was investigated. According to the different characteristics of attributes and the definition of positive domain reduction, the judgment theorem for positive domain reduction was given, the positive domain reduction algorithm using attribute significance as heuristic information was presented, and the complexity analysis of the algorithm was given. Finally, the effectiveness of the proposed algorithm was illustrated with comparative experiments.
KW - Dominance relation
KW - Intuitionistic fuzzy objective information systems
KW - Intuitionistic fuzzy rough set
KW - Positive domain reduction
UR - https://www.scopus.com/pages/publications/85025694022
U2 - 10.3969/j.issn.0253-2778.2015.04.011
DO - 10.3969/j.issn.0253-2778.2015.04.011
M3 - 文章
AN - SCOPUS:85025694022
SN - 0253-2778
VL - 45
SP - 329
EP - 336
JO - Journal of University of Science and Technology of China
JF - Journal of University of Science and Technology of China
IS - 4
ER -