基于三角直觉模糊数Choquet积分算子的多属性决策方法  

Multi-attribute Decision Making based on Triangular Intuitionistic Fuzzy Number Choquet Integral Operator

作　　者：万树平[1] 董九英[2] 

机构地区：[1]江西财经大学信息管理学院,江西南昌330013 [2]江西财经大学统计学院,江西南昌330013

出　　处：《中国管理科学》2014年第3期121-129,共9页Chinese Journal of Management Science

基　　金：国家自然科学基金资助项目(71061006;61263018);教育部人文社科项目(09YGC630107);江西省社会科学"十二五"(2013)规划项目(13GL17);江西省自然科学基金资助项目(20114BAB201012);江西财经大学优秀青年学术人才支持计划

摘　　要：定义了三角直觉模糊数的Hamming距离,给出了属性独立情形下的三角直觉模糊数算术集成算子,并运用模糊测度和Choquet积分,定义了三角直觉模糊Choquet积分算子,并分析其有关性质。针对方案评价信息为三角直觉模糊数的关联多属性决策问题,利用三角直觉模糊Choquet积分算子集成得到方案的综合属性值,建立多目标优化模型并转化为线性目标规划求解,客观地确定了属性集的模糊测度,进而提出了相应的决策方法。实例分析表明了方法的有效性和合理性。In this paper, the Hamming distance between the triangular intuitionistic fuzzy numbers is cie- fined. The triangular intuitionistic fuzzy arithmetic aggregation operators are developed under th？ inde- pendence of attributes. Combining the fuzzy measure and Choquet integral, the triangular intmtlomstlc fuzzy Choquet integral aggregation operator is defined. Some desirable properties for this operator are in- vestigated. What＇s more, for the interactive multiple attribute decision-making problem in which the evalu- ation information for the alternatives is expressed with the triangular intuitionistic fuzzy numbers, the o- verall attribute value of alternative is integrated by the triangular intuitionistic fuzzy Choquet integral ag- gregation operator. The multi-objective programming model is constructed and transformed into linear ob- ject programming to solve. The fuzzy measures of the attribute set are objectively derived. The corre- sponding decision making method is then proposed. The example analysis shows the effectiveness and rea- sonability of the method.

关 键 词：多属性决策 三角直觉模糊数 CHOQUET积分 关联 集成算子 

分 类 号：C934[经济管理—管理学]