基于离差的区间二元语义多属性群决策方法  

Multiple Attribute Group Decision Making with Interval Two-Tuple Linguistic Information Based on Deviation

作　　者：王晓[1] 陈华友[1] 刘兮[1] 

机构地区：[1]安徽大学数学科学学院

出　　处：《管理学报》2011年第2期301-305,共5页Chinese Journal of Management

基　　金：国家自然科学基金资助项目(70571001);安徽省优秀青年科技基金资助项目(08040106835);安徽省自然科学基金资助项目(070416245);安徽高等学校省级教学研究项目(2007jyxm177);安徽省高校青年教师资助项目(2007jq1017);安徽大学青年科学研究基金项目(2009QN022B)

摘　　要：针对具有多粒度区间语言评价信息的多属性群决策问题,提出一种基于区间二元语义信息处理和离差最大化的群决策方法。该方法首先针对由基本语言评价集表示的区间二元语义信息,采用了多粒度区间语言评价信息一致化的方法;然后对属性权重信息完全未知的情形建立基于离差最大化的目标规划模型,得到一个求解属性权重的公式,从而获得相应的属性权重;再利用区间二元语义的集结算子对评价信息进行加权集成,通过区间二元语义信息的可能度公式对集成结果进行排序和择优;最后由实例分析说明该方法的有效性和可行性。A new method is proposed for multiple attribute group decision making problems with multi-granularity interval linguistic information based on interval two-tuple linguistic information and maximizing deviation.Firstly,a transformation function is given to uniform the multi-granularity interval linguistic preference information into the form of interval two-tuple linguistic information in basic linguistic term set.Then,an objective programming model based on maximizing deviation,by which the attribute weight information is completely unknown,is established.By solving this model,a simple and exact formula can be used to determine the attribute weights.The interval two-tuple aggregation operator is utilized to aggregate the linguistic assessment information corresponding to each alternative.The possibility degree of interval two-tuple linguistic information is utilized to the result of aggregation in order to rank the alternatives and select the most desirable one（s）.Finally,an example is given to demonstrate the feasibility and efficiency of the proposed method.

关 键 词：群决策 多粒度 离差 区间二元语义信息 

分 类 号：C934[经济管理—管理学]