关键词: 决策科学, 语言型多属性群决策, 属性模糊关联, 二元语义TAC积分算子

Abstract: With regard to fuzzy interdependences 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 alternatives 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 given 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 computation 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.

Key words: decision science, linguistic multiple attribute group decision making, attribute fuzzy interdependence, 2-tuple linguistic TAC(Two-Additive Choquet)integral operator