CAJ | 학술논문

在程度粗糙集模型中定义了程度上、下近似算子的复合运算，研究了复合运算的性质，并给予了严格的证明；最后通过一个实例验证了定理的正确性，同时说明了程度上、下近似算子的复合运算具有幂等率。程度上、下近似算子的复合运算进一步补充和完善了程度粗糙集模型理论和经典粗糙集模型理论。
재정도조조집모형중정의료정도상、하근사산자적복합운산，연구료복합운산적성질，병급여료엄격적증명；최후통과일개실례험증료정리적정학성，동시설명료정도상、하근사산자적복합운산구유멱등솔。정도상、하근사산자적복합운산진일보보충화완선료정도조조집모형이론화경전조조집모형이론。
Composite operation of grade upper and lower approximation is proposed in the graded rough set model in this paper.It also studies the properties of composite operations,and gives a strict proof.Finally,an example is given to illustrate the correctness of the theorem,which also proves that composite operation of upper and lower approximations operators is of idempotent rate.Composite oper-ation of grade upper and lower approximation operators further supplements and improves the grade rough set model theory and classical rough set model theory.