摘要
讨论基于Lukasiewicz三角模及其剩余蕴涵的模糊粗糙集模型,研究了相应模糊粗糙集的代数性质,证明了自反模糊关系下该模型中的下近似集构成一个模糊拓扑,且上、下近似算子恰为其闭包及内部算子。
This paper is devoted to the study of fuzzy rough sets based on Lukasiewicz t-norm and its residuated implication.The algebraic properties of fuzzy rough sets are discussed.It is proved that the set of lower approximation of fuzzy sets forms a fuzzy topology and the lower approximation and upper approximation operators are its closed and inner operators respectively.
出处
《计算机工程与应用》
CSCD
北大核心
2007年第36期37-39,共3页
Computer Engineering and Applications
基金
国家自然科学基金(the National Natural Science Foundation of China under Grant No.60474022)
