基于方案偏好且指标关联的直觉模糊决策方法研究
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摘要
基于偏差极小化的思想,将对方案各指标偏好与对方案偏好之间的总偏差作为目标函数,以不同属性组合权重作为约束条件,针对不同指标之间存在一定的关联性,并且不同决策者对决策方案存在不同程度偏好的直觉模糊多属性决策问题,引入Choquet积分来反映指标之间的关联性,建立一种基于指标间存在一定关联性的直觉模糊多属性决策模型,并通过一种算例来说明该决策方法的可行性和有效性。
Based on the minimizing deviation method and Choquet integration,a new effective decision model is presented to deal with intuitionistic fuzzy multiple attribute decision-making problem with interaction between attributes and with preference information on alternatives. The paper also proposes an illustrative example of how to select an enterprise for internship for vocational college students to demonstrate the practicality and effectiveness of the developed approach.
Based on the minimizing deviation method and Choquet integration,a new effective decision model is presented to deal with intuitionistic fuzzy multiple attribute decision-making problem with interaction between attributes and with preference information on alternatives. The paper also proposes an illustrative example of how to select an enterprise for internship for vocational college students to demonstrate the practicality and effectiveness of the developed approach.
引文
[1]Atanassov K.Intuitionistic fuzzy sets[J].Fuzzy Sets and Systems,1986,20(1):87-96.
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[9]卫贵武.对方案有偏好的直觉模糊数多属性决策方法[J].科技管理研究,2008(8):171-173.
[10]段传庆.一种对方案有偏好的区间直觉模糊多属性算法[J].中国科学技术大学学报,2015,45(12):1036-1040.
[11]张世涛,朱建军,刘小弟.方案对多维偏好信息下基于后悔理论的群决策方法[J].中国管理科学,2014,22(S1):33-41.
[12]Grabisch M.The application of fuzzy integrals in multi-criteria decision making[J].European J of Operational Research,1996,89(3):445-456.
[13]Tan C Q,Chen X H.Intuitionistic fuzzy Choquet integral operator for multi-criteria decision making[J].Expert Systems with Applications,2010,37(1):149-157.
[14]Tan C Q.A multi-criteria interval-valued intuitionistic fuzzy group decision making with Choquet integral-based TOPSIS[J].Expert Systems with Applications,2011,38(4):3023-3033.
[15]Xu Z S.Choquet integrals of weighted intuitionistic fuzzy information[J].Information Sciences,2010,180(5):726-736.
[16]Wu J Z,Chen F,Nie C P,et al.Intuitionistic fuzzy-valued Choquet integral and its application in multicriteria decision making[J].Information Sciences,2013,222(4):509-527.
[2]徐泽水.直觉模糊信息集成理论及应用[M].北京:科学出版社,2008.
[3]马万元,耿秀丽.考虑不完全权重信息的直觉模糊VIKOR方法研究[J].计算机应用研究,2018,35(4):1-9.
[4]刘培德,刘俊麟,杨云彬.基于语言直觉模糊数的ELECTRE方法及在决策中的应用[J].山东财经大学学报,2017,29(1):82-89.
[5]罗敏,周晗,陶志富,吴澎.基于连续直觉模糊相似测度的多属性群决策方法[J].武汉理工大学学报(信息与管理工程版),2017,39(3):299-305.
[6]代文锋,仲秋雁,贺冬冬.基于证据推理的直觉模糊多属性群决策方法[J].运筹与管理,2017,(9)26:1-6.
[7]Atanassov K T.Intuitionistic fuzzy sets:Theory and applications[M].Heidelberg:Physica-Verlag,1999:25-50.
[8]Xu Z S.Intuitionistic fuzzy aggregation operators[J].IEEE Trans on Fuzzy Systems,2007,15(6):1179-1187.
[9]卫贵武.对方案有偏好的直觉模糊数多属性决策方法[J].科技管理研究,2008(8):171-173.
[10]段传庆.一种对方案有偏好的区间直觉模糊多属性算法[J].中国科学技术大学学报,2015,45(12):1036-1040.
[11]张世涛,朱建军,刘小弟.方案对多维偏好信息下基于后悔理论的群决策方法[J].中国管理科学,2014,22(S1):33-41.
[12]Grabisch M.The application of fuzzy integrals in multi-criteria decision making[J].European J of Operational Research,1996,89(3):445-456.
[13]Tan C Q,Chen X H.Intuitionistic fuzzy Choquet integral operator for multi-criteria decision making[J].Expert Systems with Applications,2010,37(1):149-157.
[14]Tan C Q.A multi-criteria interval-valued intuitionistic fuzzy group decision making with Choquet integral-based TOPSIS[J].Expert Systems with Applications,2011,38(4):3023-3033.
[15]Xu Z S.Choquet integrals of weighted intuitionistic fuzzy information[J].Information Sciences,2010,180(5):726-736.
[16]Wu J Z,Chen F,Nie C P,et al.Intuitionistic fuzzy-valued Choquet integral and its application in multicriteria decision making[J].Information Sciences,2013,222(4):509-527.