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基于集对分析联系数的信息不完全直觉模糊多属性决策
引用本文:刘秀梅,赵克勤.基于集对分析联系数的信息不完全直觉模糊多属性决策[J].数学的实践与认识,2010,40(1).
作者姓名:刘秀梅  赵克勤
作者单位:1. 连云港师范高等专科学校,数学系,江苏,连云港,222006
2. 浙江诸暨联系,数学研究所,浙江,诸暨,311811
基金项目:连云港师范高等专科学校校级基金课题
摘    要:信息不完全直觉模糊多属性决策是一类不确定性决策问题,其不确定性来自属性权重信息不完全和属性值的直觉模糊数表示.为了系统地刻画直觉模糊多属性决策中的不确定性,避免直觉模糊多属性决策中利用得分函数做决策的片面性和不准确性,可以将信息不完全的权重和直觉模糊数表示的属性值转化成集对分析理论中的联系数,并建立信息不完全直觉模糊多属性决策模型,通过对不确定性进行分析后作出决策.实例应用表明该决策方法具有合理性和可行性.

关 键 词:信息不完全  直觉模糊数  多属性决策  不确定性  联系数  集对分析

Multiple Attribute Decision Making with the Incomplete Information and Intuitionistic Fuzzy Number Based on the Connection Number of Set Pair Analysis
LIU Xiu-mei,ZHAO Ke-qin.Multiple Attribute Decision Making with the Incomplete Information and Intuitionistic Fuzzy Number Based on the Connection Number of Set Pair Analysis[J].Mathematics in Practice and Theory,2010,40(1).
Authors:LIU Xiu-mei  ZHAO Ke-qin
Institution:LIU Xiu-mei1,ZHAO Ke-qin2(1.Department of Mathematics,Lianyungang Teachers College,Lianyungang 222006,China)(2.Zhuji Institute of Connection Mathematics,Zhuji 311811,China)
Abstract:The multiple attribute decision making with the incomplete information and intuitionistic fuzzy number is of uncertainty,which comes from the incomplete information of attribute weights and the attribute values′expression of the intuitionistic fuzzy number.In order to depict the uncertainty and avoid one-sidedness and inaccuracy by scoring function,we can transform incomplete weights and intuitionistic fuzzy numbers of attribute values into connection numbers of set pair analysis theory,and then establish a new method for multiple attribute decision making with the intuitionistic fuzzy,by analyzing the causes of the uncertainty,and then make a decision.An illustrative example is also given to demonstrate the feasibility and rationality of the proposed method.
Keywords:incomplete information  intuitionistic fuzzy number  multiple attribute decision making  uncertainty  connection number  set pair analysis  
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