考虑认知态度的区间二元语义补偿算子及应用

Interval-valued 2-tuple Linguistic Compensative Operator Considering Cognitive Attitude and Its Application

区间二元语义是不确定语言信息的一种表现形式。首先提出改进的二元语义模型,接着定义区间二元语义补偿加权平均算子,决策者在利用该算子集结区间二元语义时,可以选择合适的补偿参数来反映其认知和态度特点。同时给出补偿参数的计算过程,该过程考虑了决策者的风险态度。最后,构建一种基于区间二元语义补偿加权平均算子的多准则决策方法,并以算例分析验证了该方法的有效性。

Interval-valued 2-tuple linguistic information is a manifestation of uncertain linguistic Information. First of all, a modified 2-tuple linguistic model is proposed. Secondly, Interval-valued 2-tuple linguistic compensative weighted averaging aggregation operator is defined, which allow decision makers to choose the appropriate compensative parameter during the aggregation process, as a result, the cognition and attitude of decision maker can bereflected. The calculation steps of the compensation parameter is also given, in which the risk attitude of decision maker is considered. Finally, a muti-criteria decision making method based on Interval-valued 2-tuple linguistic compensative weighted averaging aggregation operator is put forward. The validity of the method is proved by an illustrative example.