改进得分函数的梯形直觉模糊群决策方法
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摘要
文章针对已有梯形直觉模糊数得分函数和精确函数的缺陷和不足,定义了新的得分函数和精确函数,并在此基础上提出了基于相关系数的多准则群决策方法,用于解决专家权重信息未知的梯形直觉模糊数群决策问题。通过得分函数计算专家权重,比较加权方案值与正负理想方案值的相关系数得到排序结果。最后通过实例分析对比说明了该方法的有效性。
For the defect of existing score function and accuracy function of the trapezoid intuitionistic fuzzy number,the new score function and accuracy function are defined.And a multi-criteria group decision-making method based on the correlation coefficient is proposed in order to solve the trapezoid intuitionistic fuzzy problems where the information about expert weights is completely unknown.The expert weights are obtained according to the score function,and the final ranking result is obtained by comparing the correlation coefficient between the weighted alternatives and the ideal-positive and ideal-negative alternatives.Finally,the effectiveness of the proposed method is demonstrated by a comparative analysis.
For the defect of existing score function and accuracy function of the trapezoid intuitionistic fuzzy number,the new score function and accuracy function are defined.And a multi-criteria group decision-making method based on the correlation coefficient is proposed in order to solve the trapezoid intuitionistic fuzzy problems where the information about expert weights is completely unknown.The expert weights are obtained according to the score function,and the final ranking result is obtained by comparing the correlation coefficient between the weighted alternatives and the ideal-positive and ideal-negative alternatives.Finally,the effectiveness of the proposed method is demonstrated by a comparative analysis.
引文
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[10]罗承昆,陈云翔,王超,等.基于改进证据理论的区间直觉模糊群决策方法[J].计算机仿真,2015,32(10):282-286.
[11]刘培德,左甲.梯形直觉模糊数集成算子及在决策中的应用研究[J].模糊系统与数学,2012,26(3):127-138.
[12]左冠丽,褚学宁,陈东萍,等.基于直觉模糊信息公里的产品服务方案选优[J].计算机集成制造系统,2015,21(4):1134-1141.
[13]沈牧溪.基于带有非理性因素的协调博弈的舆情传播研究[D].长春:吉林大学,2015.
[14]张洪美,徐泽水.基于不确定语言信息的C-OWA和COWG算子及其应用[J].解放军理工大学学报(自然科学版),2005,6(6):604-608.
[15]PARK D G,KWUN Y C,PARK J H,et al.Correlation coefficient of interval-valued intuitionistic fuzzy sets and its application to multiple attribute group decision making problems[J].Mathematical and Computer Modelling,2009,50(9/10):1279-1293.
[2]ATANASSOV K T.Intuitionistic fuzzy sets[J].Fuzzy Sets and Systems,1986,20(1):87-96.
[3]ATANASSOV K,GARGOV G.Interval-valued intuitionistic Fuzzy sets[J].Fuzzy Sets and Systems,1989,31(3):343-349.
[4]ATANASSOV K T.Operators over interval-valued intuitionistic Fuzzy sets[J].Fuzzy Sets and Systems,1994,64(2):159-174.
[5]娄帅,王慧敏,牛文娟,等.基于区间直觉模糊集的水资源配置群决策研究[J].长江流域资源与环境,2014,23(3):319-327.
[6]孙小慧,吴涛,孙恒,等.一种基于区间直觉模糊集的多属性决策方法[J].河南科技大学学报(自然科学版),2013,34(5):87-91.
[7]陈晓红,李喜华.基于直觉梯形模糊TOPSIS的多属性群决策方法[J].控制与决策,2013,28(9):1377-1381,1388.
[8]王会英,张朝昆,董东.基于区间直觉模糊集的模糊多目标群决策[J].计算机应用,2013,33(4):967-970.
[9]XU Z S.Approaches to multiple attribute group decision making based on intuitionistic fuzzy power aggregation operators[J].Knowledge-Based Systems,2011,24(6):749-760.
[10]罗承昆,陈云翔,王超,等.基于改进证据理论的区间直觉模糊群决策方法[J].计算机仿真,2015,32(10):282-286.
[11]刘培德,左甲.梯形直觉模糊数集成算子及在决策中的应用研究[J].模糊系统与数学,2012,26(3):127-138.
[12]左冠丽,褚学宁,陈东萍,等.基于直觉模糊信息公里的产品服务方案选优[J].计算机集成制造系统,2015,21(4):1134-1141.
[13]沈牧溪.基于带有非理性因素的协调博弈的舆情传播研究[D].长春:吉林大学,2015.
[14]张洪美,徐泽水.基于不确定语言信息的C-OWA和COWG算子及其应用[J].解放军理工大学学报(自然科学版),2005,6(6):604-608.
[15]PARK D G,KWUN Y C,PARK J H,et al.Correlation coefficient of interval-valued intuitionistic fuzzy sets and its application to multiple attribute group decision making problems[J].Mathematical and Computer Modelling,2009,50(9/10):1279-1293.