南京大学学报(自然科学版) ›› 2017, Vol. 53 ›› Issue (4): 782.
李 敬,王利东*
Li Jing,Wang Lidong*
摘要: 经典的粗糙集理论建立在等价关系基础上,要求过于严格,所以限制了它的实际应用范围.为此,扩展形式的粗糙集模型得到了广泛关注,并已成为研究热点.在现实世界中,由于数据测量的误差、对数据的理解或获取的限制等众多原因,所遇到的信息系统往往是不完备的.面向不完备信息系统,在广义多粒度粗糙集以及双相对定量决策粗糙集的基础上定义了两种广义多粒度双相对定量决策粗糙集(GMDrq-DTRS).一方面,讨论GMDrq-DTRS与广义多粒度粗糙集之间的等价关系,以及它们正负域的大小关系;另一方面,在不同的参数关系下,讨论GMDrq-DTRS的正域、负域以及上下边界域所具有的特殊关系.并用具体实例来解释说明 GMDrq-DTRS决策过程和所讨论的GMDrq-DTRS与其他模型之间的关系.
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