基于二元语义TAC积分算子的语言型多属性群决策方法

Linguistic Multiple Attribute Group Decision Making Method Based on 2-Tuple Linguistic TAC Integral Operator

针对属性之间存在模糊关联的语言型多属性群决策问题,给出了二元语义TAC(Two-Additive Choquet)积分算子的定义,分析和证明了算子的有关性质,并提出了相应的决策方法。该方法首先将各专家提供的语言短语形式的属性权重信息、属性关联信息与属性评价信息转化为二元语义形式,然后利用二元语义TAC积分算子将转化后的属性相关信息集结为各专家的方案评价值,并进一步集结专家意见获得方案的综合评价值,从而确定其排序。最后,通过实例分析和方法比较说明了所给方法的有效性和优点。研究结果表明,该方法具有属性关联刻画细致、计算过程简单且无信息损失、决策结果可解释性强等优点,为求解属性之间存在模糊关联的语言型多属性群决策问题提供了一种新的途径。

With regard to fuzzy interdependenees among attributes in the problem on linguistic multiple attribute group decision making, a 2-tuple linguistic TAC （ Two-Additive Choquet） integral operator is defined. Some desirable properties are analyzed and proved. Then, a corresponding decision making method is proposed. In the method, attribute weight information, attribute interdependence information and attribute evaluation information provided by experts are transformed from linguistic terms into 2-tuple linguistics. Using the 2-tuple linguistic TAC integral operator, the transformed information on attributes can be aggregated as evaluation values on alter- natives from each expert. Furthermore, the overall evaluation values on alternatives are obtained to determine alternative ranking by aggregating experts＇ opinions. Finally, real case analysis and method comparison are giv- en to illustrate the validity and advantages of the proposed method. The research results show that the proposed method has several advantages in the aspect of detailed description on attribute interdependence, simple computa- tion process without information loss and decision result with strong interpretability. It also provides a new tool for solving linguistic multiple attribute group decision making problems with fuzzy interdependences among attributes.