三支决策空间下的区间参数优化模型及应用

摘要

The interval concept lattice theory is a new method of mining objects based on interval parameters.It can more accurately deal with uncertain information.Interval parameters α andβ can determine interval concepts and lattice structure,and then affect extracted decision rules.In order to solve the optimization problem of interval parameters,firstly we combined the theories of interval concept lattice and three-way decision-theoretic rough set,and then put forward three-way decision space theory.Secondly,according to the theory,the extension of interval concept was divided into positive region.Megative region and boundary region,moreover,the three-way decision rules and decision loss function were proposed.Through adjusting interval parameters,we can find more credible decision rules,and then optimize interval parameters.Finally we verified the model by an example.%区间概念格理论是在区间参数基础上提出的一种新的对象挖掘方法,它能够更精确地处理不确定信息.区间参数[α,β]决定了区间概念和格结构,进而对提取的决策准则产生影响.为了解决区间参数优化问题,首先将区间概念格与三支决策粗糙集理论相结合,提出了三支决策空间理论;然后在此基础上将区间概念外延划分为3个域:正域、边界域和负域,并给出了基于区间概念格的三支决策规则与决策损失函数,通过调整区间参数寻找更加可靠的决策准则,从而优化区间参数;最后通过实例对模型进行验证.