基于后悔理论的区间二元语义多属性群决策方法
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摘要
针对评价信息为区间语言变量的多属性群决策问题,提出了一种基于后悔理论的区间二元语义多属性群决策方法,该方法能够有效考虑决策者在决策过程中产生的一种风险规避,及其在后悔与欣喜之间存在的心理差异变化。首先,介绍关于区间二元语义信息的一些基本概念,并给出了区间二元语义均值与方差的定义;针对决策矩阵元素为区间二元语义变量属性权重部分未知的多属性群决策问题,利用区间二元语义的方差,通过构建优化模型确定最优属性权重,并提出了一种基于后悔理论的区间二元语义多属性群决策方法;最后将提出的方法应用至企业设计方案的选择中,结果与比较分析表明该方法具有一定可行性和有效性。
Aiming at the multi-attribute group decision making problem with the evaluation information as interval linguistic variables,this paper proposes an interval binary semantic multi-attribute group decision making method based on regret theory,which can effectively consider Risk aversion by decision makers in the decision process. There are psychological differences between regret and rejoice. First of all,this paper introduces some basic concepts about interval binary linguistic information and gives the definition of interval binary linguistic mean and variance. Aiming at the multi-attribute group decision making problem in which the decision matrix elements are unknown to the weight of the interval binary semantic variable,the variance of the interval binary linguistic is used to determine the optimal attribute weight by constructing the optimization model,and the interval based on regret theory is proposed. Finally,the method proposed in this paper is applied to the choice of enterprise design scheme. The results and comparative analysis show that the method has certain feasibility and effectiveness.
Aiming at the multi-attribute group decision making problem with the evaluation information as interval linguistic variables,this paper proposes an interval binary semantic multi-attribute group decision making method based on regret theory,which can effectively consider Risk aversion by decision makers in the decision process. There are psychological differences between regret and rejoice. First of all,this paper introduces some basic concepts about interval binary linguistic information and gives the definition of interval binary linguistic mean and variance. Aiming at the multi-attribute group decision making problem in which the decision matrix elements are unknown to the weight of the interval binary semantic variable,the variance of the interval binary linguistic is used to determine the optimal attribute weight by constructing the optimization model,and the interval based on regret theory is proposed. Finally,the method proposed in this paper is applied to the choice of enterprise design scheme. The results and comparative analysis show that the method has certain feasibility and effectiveness.
引文
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[3]王晓,陈华友,刘兮.基于离差的区间二元语义多属性群决策方法[J].管理学报,2011,8(2):301—305WANG X,CHEN H Y,LIU X. Multiple Attribute Group Decision Making with Interval Two-tuple Linguistic Information Based on Deviation[J]. Chinese Journal o f Management,2011,8(2):301—305
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[5]刘兮,陈华友,周礼刚.多粒度区间语言信息的COWH算子及其应用[J].运筹与管理,2012,21(2):14—22LIU X,CHEN H Y,ZHOU L G. Continuous Ordered Weighted Harmonic(C-OWH)Averaging Operators for Multi-granularity Interval Linguistic Information and Its Applications[J]. Operations Research and Management Science,2012,21(2):14—22
[6]吴群,王凤,周礼刚,陈华友.基于区间二元语义偏好关系一致性偏差的群决策方法[J].模糊系统与数学,2017,31(5):55—67WU Q,WANG F,ZHOU L G,et al. Approach of Group Decision Based on Consistency Deviation of Interval 2-tuple Linguistic Preference Relation[J]. Fuzzy Systems and Mathermatics,2017,31(5):55—67
[7]刘培德,秦西友.基于区间语言直觉模糊集及信息熵的TOPSIS方法[J].经济与管理评论,2018(3):87—94LIU P D,QIN X Y. An Extended TOPSIS Method Based on Interval-valued Linguistic Intuitionistic Fuzzy Numbers and Information Entropy[J]. Economic Management Research,2018(3):87—94
[8]吴群,吴澎,周元元,等. 2TLCGPOWA算子及其在多属性群决策中的应用[J].计算机工程与应用,2017,53(3):47—53,63WU Q, WU P, ZHOU Y Y, et al. 2TLCGPOWA Operator and Its Application in Multi-attribute Group Decision Making[J]. Computer Engineering and Applications,2017,53(3):47—53,63
[9]吴群,吴澎,周礼刚.基于联系数的区间二元语义模糊多属性群决策方法[J].重庆工商大学学报(自然科学版),2016,33(1):1—8,25WU Q,WU P,ZHOU L G. Interval Binary Semantic Fuzzy Multi-attribute Group Decision Making Method Based on Connection Number[J]. Journal of Chongqing Technology and Business University(Naturnal Science Edition),2016,33(1):1—8,25
[10]张晓,樊治平,陈发动.考虑后悔规避的风险型多属性决策方法[J].系统管理学报,2014,23(1):111—117ZHANG X, FAN Z P, CHEN F D. Risky Multiple Attribute Decision Making with Regret Aversion[J].Journal of Systems&Management, 2014, 23(1):111—117
[11]朱轮,马庆功.直觉模糊信息环境下考虑后悔规避的决策方法[J].计算机工程与应用,2017,53(14):123—129ZHU L,MA Q G. Decision-making Method with Regret Theory under Intuitionistic Fuzzy Information Environment[J]. Computer Engineering and Applications,2017,53(14):123—129
[12]袁媛,刘洋,樊治平.考虑后悔规避的突发事件应急响应的风险决策方法[J].系统工程理论与实践,2015,35(10):2630—2636YUAN Y, LIU Y, FAN Z P. Risk Decision Making Method for Emergency Response Consideration Regret Aversion[J]. Systems Engineering Theory&Practice,2015,35(10):2630—2636
[13]徐选华,刘洁,陈晓红.基于冲突风险熵和后悔规避的多属性大群体应急决策方法[J].信息与控制,2018,47(2):214—222XU X H,LIU J,CHEN X H. Multi-attribute Large-group Emergency Decision-making Method for Entropy of Conflict Risks and Regret Aversion[J]. Information and Control,2018,47(2):214—222
[14]于超,樊治平.考虑决策者后悔规避的风险投资项目选择方法[J].中国管理科学,2016,24(6):29—37YU C,FAN Z P. Method for Venture Project Selection Considering Decision Maker’s Regret Aversion[J].Chinese Journal of Management Science,2016,24(6):29—37
[15]金检华,李永明,李春泉.基于模糊数的证券投资组合最优化模型[J].重庆工商大学学报(自然科学版),2010,27(1):5—10JIN J H, LI Y M, LI C Q. Securities Investment Portfolio Optimization Model Based on Fuzzy Coefficient[J]. Journal of Chongqing Technology and Business University(Naturnal Science Edition),2010,27(1):5—10
[16]陈均明,模糊层次分析法在投资决策中的应用[J].重庆工商大学学报(自然科学版),2008,25(1):29—33CHEN J M. Application of Fuzzy Analytic Hierarchy Processi on Decision-making of Investment[J].Journal of Chongqing Technology and Business University(Naturnal Science Edition),2008,25(1):29—33
[2] HERRERA A F, MARTINEZ L. A 2-tuple Fuzzy Linguistic Representation Model for Computing with Word[J]. IEEER Trans on Fuzzy Systems,2000,8(6):746—752
[3]王晓,陈华友,刘兮.基于离差的区间二元语义多属性群决策方法[J].管理学报,2011,8(2):301—305WANG X,CHEN H Y,LIU X. Multiple Attribute Group Decision Making with Interval Two-tuple Linguistic Information Based on Deviation[J]. Chinese Journal o f Management,2011,8(2):301—305
[4]刘兮,王晓,陈华友.一种多粒度区间语言信息的多属性群决策方法[J].合肥工业大学学报,2011,34(1):155—160LIU X,WANG X,CHEN H Y. A Multiple Attribute Group Decision Making Method Based on Multigranularity Interval Two-tuple Linguistic Information[J].Journal of Hefei University of Technology,2011,34(1):155—160
[5]刘兮,陈华友,周礼刚.多粒度区间语言信息的COWH算子及其应用[J].运筹与管理,2012,21(2):14—22LIU X,CHEN H Y,ZHOU L G. Continuous Ordered Weighted Harmonic(C-OWH)Averaging Operators for Multi-granularity Interval Linguistic Information and Its Applications[J]. Operations Research and Management Science,2012,21(2):14—22
[6]吴群,王凤,周礼刚,陈华友.基于区间二元语义偏好关系一致性偏差的群决策方法[J].模糊系统与数学,2017,31(5):55—67WU Q,WANG F,ZHOU L G,et al. Approach of Group Decision Based on Consistency Deviation of Interval 2-tuple Linguistic Preference Relation[J]. Fuzzy Systems and Mathermatics,2017,31(5):55—67
[7]刘培德,秦西友.基于区间语言直觉模糊集及信息熵的TOPSIS方法[J].经济与管理评论,2018(3):87—94LIU P D,QIN X Y. An Extended TOPSIS Method Based on Interval-valued Linguistic Intuitionistic Fuzzy Numbers and Information Entropy[J]. Economic Management Research,2018(3):87—94
[8]吴群,吴澎,周元元,等. 2TLCGPOWA算子及其在多属性群决策中的应用[J].计算机工程与应用,2017,53(3):47—53,63WU Q, WU P, ZHOU Y Y, et al. 2TLCGPOWA Operator and Its Application in Multi-attribute Group Decision Making[J]. Computer Engineering and Applications,2017,53(3):47—53,63
[9]吴群,吴澎,周礼刚.基于联系数的区间二元语义模糊多属性群决策方法[J].重庆工商大学学报(自然科学版),2016,33(1):1—8,25WU Q,WU P,ZHOU L G. Interval Binary Semantic Fuzzy Multi-attribute Group Decision Making Method Based on Connection Number[J]. Journal of Chongqing Technology and Business University(Naturnal Science Edition),2016,33(1):1—8,25
[10]张晓,樊治平,陈发动.考虑后悔规避的风险型多属性决策方法[J].系统管理学报,2014,23(1):111—117ZHANG X, FAN Z P, CHEN F D. Risky Multiple Attribute Decision Making with Regret Aversion[J].Journal of Systems&Management, 2014, 23(1):111—117
[11]朱轮,马庆功.直觉模糊信息环境下考虑后悔规避的决策方法[J].计算机工程与应用,2017,53(14):123—129ZHU L,MA Q G. Decision-making Method with Regret Theory under Intuitionistic Fuzzy Information Environment[J]. Computer Engineering and Applications,2017,53(14):123—129
[12]袁媛,刘洋,樊治平.考虑后悔规避的突发事件应急响应的风险决策方法[J].系统工程理论与实践,2015,35(10):2630—2636YUAN Y, LIU Y, FAN Z P. Risk Decision Making Method for Emergency Response Consideration Regret Aversion[J]. Systems Engineering Theory&Practice,2015,35(10):2630—2636
[13]徐选华,刘洁,陈晓红.基于冲突风险熵和后悔规避的多属性大群体应急决策方法[J].信息与控制,2018,47(2):214—222XU X H,LIU J,CHEN X H. Multi-attribute Large-group Emergency Decision-making Method for Entropy of Conflict Risks and Regret Aversion[J]. Information and Control,2018,47(2):214—222
[14]于超,樊治平.考虑决策者后悔规避的风险投资项目选择方法[J].中国管理科学,2016,24(6):29—37YU C,FAN Z P. Method for Venture Project Selection Considering Decision Maker’s Regret Aversion[J].Chinese Journal of Management Science,2016,24(6):29—37
[15]金检华,李永明,李春泉.基于模糊数的证券投资组合最优化模型[J].重庆工商大学学报(自然科学版),2010,27(1):5—10JIN J H, LI Y M, LI C Q. Securities Investment Portfolio Optimization Model Based on Fuzzy Coefficient[J]. Journal of Chongqing Technology and Business University(Naturnal Science Edition),2010,27(1):5—10
[16]陈均明,模糊层次分析法在投资决策中的应用[J].重庆工商大学学报(自然科学版),2008,25(1):29—33CHEN J M. Application of Fuzzy Analytic Hierarchy Processi on Decision-making of Investment[J].Journal of Chongqing Technology and Business University(Naturnal Science Edition),2008,25(1):29—33