不完备混合决策系统的三支决策模型与规则获取方法

现有三支决策主要针对各类完备信息系统或不完备单一型信息系统进行研究，而现实应用领域中数据往往呈现不完备性和复杂性等特征，为此，构建面向不完备混合决策系统的三支决策模型与规则获取方法。首先，计算不完备混合数据的完备邻域容差类，并将其代替等价类计算三支决策模型的条件概率；然后，根据扩展的损失函数区间概念获取各对象在乐观、折中和悲观决策下的不同阈值，进而针对不完备混合决策系统构造三种决策风险下的三支决策模型。最后，通过理论分析和医疗诊断实例详细分析了算法的有效性和可解释性，并通过实验比较和分析可知，所构模型较其他已有模型的分类过程更加合理有效，同时该模型也扩充了三支决策模型和知识发现的理论与应用研究。

Three-way decisions model and rule acquisition method for incomplete composite decision system

The existing three-way decisions mainly focus on various types of complete information systems or incomplete single-type information systems, while the data in the real application fields often exhibit incompleteness and complexity. Therefor this paper proposed the three-way decisions model and rule acquisition method for incomplete composite decision system based on a new complete neighborhood tolerance relation. First, this algorithm designed a new complete neighborhood tolerance classes under the incomplete mixed data, which could substitute for equivalence classes to calculate the conditional probabilities in the classical three-way decisions model. Then, it improved the concept of the loss function interval to obtain different thresholds of each object under the optimistic, compromising and pessimistic decisions and constructed there three-way decisions models and rule acquisition method under three decision-making risks for the incomplete composite decision system. Finally, this paper analyzed the validity and interpretable of the proposed algorithm in detail by a series of theoretical analysis and a medical diagnosis example. The experimental results based on different datasets show that the proposed model outperforms the state-of-the-art models in terms of classification process and expands the theory and application of three-way decisions and knowledge discovery.