区间值Fuzzy集分解定理上的近似算子研究

Research on approximation operators based on decomposition theorem of interval-valued fuzzy sets

将广义粗糙模糊下、上近似算子拓展到区间上,并利用区间值模糊集分解定理给出一组新的广义区间值粗糙模糊下、上近似算子,证明二者在由任意二元经典关系构成的广义近似空间中是等价的,最后讨论了在一般二元关系下,两组近似算子的性质。

The lower and upper approximation operators of generalized fuzzy rough sets are expanded to interval,and new lower and upper approximation operators of generalized interval-valued rough fuzzy sets are proposed by the decomposition theorem of the interval-valued fuzzy sets.Furthermore,this paper proves that the two kinds of operators are equivalent at generalized approximation space formed by any classical binary relations.Finally,typical properties of the operators are discussed based on generalized binary relation.