区间值Vague决策系统及其规则提取方法

区间值(i-v)模糊集合和Vague集是不精确知识表达的两种新理论.它们已被广泛地应用于决策系统中对于不确定决策数据的描述.本文将两者有机地结合,给出了i-v Vague集的有关概念,并详细地讨论了其性质.最后,结合一个决策系统实例,利用文中所提出的包含与相交因子,分析了规则生成策略.经过与传统Rough集方法的对比,发现两者所得结论是一致的,但该方法对于不确定性问题的处理却表现得更为灵活.

Interval Valued Vague Decision System and an Approach for Its Rule Generation

Interval valued ( i v ) fuzzy sets and vague sets are two new theories representing inexact knowledge.They have been widely applied to describe the uncertain data in decision systems.In this paper,the notions of i v vague sets are first introduced by putting the two theories together.Then,the properties of i v vague sets are discussed in detail.Finally,by a decision system and the operators of containment and intersection defined on it,we analyse the strategies of rule generation.In comparison with the method of using rough set theory,the two results are proved to be consistent.However,our new method behaves much flexibly in representing uncertainty.