基于二维语言评价信息的模糊多属性决策方法  

Method of Fuzzy Multiple Attribute Decision Making Based on 2-dimenion Linguistic Evaluation Information

作　　者：平轶男 吴群[1] 周礼刚[1] 陈华友[1] PIMG Yi-nan;WU Qun;ZHOU Ligang;CHEN Hua-you(School of Mathematical Sciences,Anhui University,Hefei 230601,China)

机构地区：[1]安徽大学数学科学学院,合肥安徽230601

出　　处：《模糊系统与数学》2018年第4期155-168,共14页Fuzzy Systems and Mathematics

基　　金：国家自然科学基金资助项目(71371011;71301001;11426033);安徽省自然科学基金资助项目(1308085QG127);安徽大学科研训练计划项目(KYXL2014010);大学生创新创业训练项目(AH201410357120;201510357119)

摘　　要：针对评价信息为二维语言变量的多属性决策问题,提出了基于二维语言变量的TOPSIS和TODIM多属性决策方法。该方法首先将二维语言变量中第二维语言评价信息定量化,同时用决策者的主观风险态度刻画了二维语言变量存在的不确定性,进而提出了基于二维语言变量的语言信度结构。为合理的分配信度权重,建立了语言信度分配模型,并定义了二维语言变量基于语言信度结构的距离测度,在此基础上提出了基于TOPSIS和TODIM方法的模糊多属性决策方法。最后通过算例说明该方法的可行性和有效性。With respect to multiple attribute decision making （MADM） problem where the evaluation information is in the form of 2-dimension linguistic variable （2DLV）, this paper proposes MADM methods including the TOPSIS and the TODIM based on 2DLV. To begin with, the II dimension linguistic information in the 2DLV is quantified in these approaches, uncertainty of decision makers ~ subjective risk attitudes are used to reflect then uncertainty of 2DLV as well, and then a mapping that transforms 2DLV into linguistic belief structure is proposed. To reasonably assign the weights of linguistic belief degrees, an allocation model of linguistic belief degrees is constructed, and the distance measure based on the constructed linguistic belief structure for 2DLVs is built as well, and then methods of fuzzy MADM on the basis of TOPSIS and TODIM are employed. Finally, a numerical example indicates that the proposed method is effective and feasible.

关 键 词：模糊多属性决策 二维语言变量 语言信度结构 TOPSIS方法 TODIM方法 

分 类 号：C934[经济管理—管理学]