语言一致矩阵及其在决策中的应用

针对决策者思想中的不确定信息,引入语言变量,建立了重要性比较的语言标度集。给出了语言一致矩阵的定义,研究了语言一致矩阵的性质,如与人类思维的一致性和中分传递性等。在应用中,以语言标度构造语言一致矩阵,通过语言信息集结算子,对语言一致矩阵进行集结,得到决策结果。举例说明了语言一致矩阵的用法及其在决策中的正确性和有效性。

Linguistic Consistent Matrix and Its Application in Decision Making

To deal with the uncertain information in decision maker's mind,linguistic variables are introduced,the linguistic label set for importance comparison is built.The linguistic consistent matrix is defined,and its properties,such as the consistency with human's thinking and center-division transitivity,are studied.By using linguistic aggregation operator,the information of linguistic consistent matrix is aggregated and a result is gained.An example is presented to explain the usage and show the efficiency and correctness of the linguistic consistent matrix in decision-making.