语言标记Vague集及其应用

Linguistic Label Vague Set and Its Application

为了解决不确定环境有时不能提供给Vague集的真、假隶属度以精确数字值的问题 ,文中提出了语言标记Vague(LinguisticLabelVague ,LLV)集 .其论域对象的真、假隶属度均是意义为模糊集的语言标记 .文中还定义了LLV集的补、并、交和包含运算 .作为应用 ,构造了LLV决策表 ;获取了LLV决策规则 ;通过LLV集包含程度和相交程度度量了规则的强度 ,用LLV值记分函数对强度排序 .仿真结果表明

In order to solve the problem that uncertain circumstances sometimes can not supply precise numerical values to the truth and false membership degrees of vague set, this paper puts forward the linguistic label vague (LLV) set. The truth and false membership degrees of any generic element of the universe are linguistic labe1s whose meanings are fuzzy sets. This paper also defines the complement union, intersection, and containment of LLV sets. As its application, this paper constructs a LLV decision table, acquires LLV decision rules, measures the strength of each rule by the degree of containment or intersection, and sorts the strengths of rules by the score function of LLV value. The result shows that the LLV set sometimes is more realistic in representing the imprecise information than the vague set.