二元语义粗算子及其语言多属性决策中的应用

针对语言多属性决策，提出一种基于二元语言信息处理和粗糙集理论的求解方法。利用规范的语言评价信息建立决策信息表，提出了一种由属性依赖度和信息度来形成属性客观权重的方法，通过二元语义集成算子计算属性的主观权；根据决策者的偏好，将各属性的主客观权重信息集成，得到属性综合权重；将规范化的语言评价信息转化为二元语言形式，并与已有的信息集结算子合成，得到二语义粗算子；举例说明二元语义粗算子的应用。

Two-tuple linguistic rough operator and application in linguistic multi-attribute decision making

Aiming at the linguistic multi-attribute decision making, this paper proposes multi-attribute decision making method based on two-tuple linguistic information processing and rough set. The decision-making information form is estab-lished using standard linguistic assessment information, and the objective weights are calculated by using attribute signifi-cance degree and information degree. The subjective weights are calculated by using the weighted averaging operator for two-tuple linguistic;subjective weights and objective weights are integrated into comprehensive weight based on the deci-sion maker’s preferences;two-tuple linguistic rough operator is defined by combining the known information aggregation operator and the normalized linguistic appraisal information, which is transformed into the form of two-tuple linguistic;one example is given to illustrate the application of two-tuple linguistic rough operator.