摘要
利用直觉模糊合成关系定义直觉模糊粗糙集,讨论了直觉模糊关系分别为自反、对称、传递时所对应的上、下近似算子的性质.在有限论域U中,研究了自反直觉模糊关系所诱导的直觉模糊拓扑空间中直觉模糊闭包、内部算子与相对应的上、下近似算子的关系.
Just like rough set theory, intuitionistic fuzzy （IF） set theory addresses the topic of dealing with imperfect knowledge. Recent studies have shown how both theories can be combined into a more flexible, expressive framework for modelling and processing incomplete information in information systems. In this paper, the model of IF rough sets based on the composition of IF relations is introduced. Basic properties of the IF rough approximation operators are then discussed in the cases of reflexive, symmetric and transitive relations. Furthermore, we see that in the finite space an reflexive relation can also generate IF topological spaces and show that the lower and upper IF rough approximation operators are, respectively, the interior and closure operators of the IF topological spaces.
出处
《工程数学学报》
CSCD
北大核心
2012年第6期831-841,共11页
Chinese Journal of Engineering Mathematics
基金
国家自然科学基金(10971185
10971186
11061004)~~
关键词
直觉模糊集
直觉模糊合成关系
直觉模糊粗糙集
直觉模糊拓扑
intuitionistic fuzzy sets
the composition of intuitionistic fuzzy relations
intuitionistic fuzzy rough sets
intuitionistic fuzzy topological spaces
