多粒度语言信息的交互式多属性群决策方法及应用
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摘要
针对目前多阶段交互式决策的研究多是基于点值的缺陷,以及大多数研究忽视了从多个属性对方案进行评价等不足,本文探讨了一种基于多粒度语言信息的交互式多属性群决策方法。首先基于不确定语言变量提出了多粒度语言信息的转换函数,并在给出若干假设的前提下描述了交互式多属性群决策的过程,然后提出了交互影响因子来度量决策者的"话语权",通过稳定性指标探讨交互终止条件;接着在不确定语言变量的加权算术平均(ULWA)算子和诱导多阶段交互加权算子(I-UOWA和I-UOWGA)的基础上对偏好信息进行集结,再提出优势可能度法对方案排序。最后给出了一个物流供应商选择的案例研究。
Currently,most of the multi-stage interactive decision research are based on point value evaluation information and most of these studies disregard the evaluation of the programs from multi-attribute. To overcome this kind of shortage,an interactive multi-attribute group decision making method is proposed in view of multigranularity linguistic information. Firstly,the transfer function of uncertain linguistic variables is put forward and according to some assumptions the process of interactive multi-attribute group decision making is described. In the process of the interactive decision making,this paper puts forward interactive factor to measure the importance of decision maker and explore the interaction termination's base through stability of indicator index. Moreover,the preference information is aggregated based on weighted arithmetic average( ULWA) operator of uncertain variables and induced interactive weighted operators( I-UOWA and I-UOWGA). Then the advantages possibi
Currently,most of the multi-stage interactive decision research are based on point value evaluation information and most of these studies disregard the evaluation of the programs from multi-attribute. To overcome this kind of shortage,an interactive multi-attribute group decision making method is proposed in view of multigranularity linguistic information. Firstly,the transfer function of uncertain linguistic variables is put forward and according to some assumptions the process of interactive multi-attribute group decision making is described. In the process of the interactive decision making,this paper puts forward interactive factor to measure the importance of decision maker and explore the interaction termination's base through stability of indicator index. Moreover,the preference information is aggregated based on weighted arithmetic average( ULWA) operator of uncertain variables and induced interactive weighted operators( I-UOWA and I-UOWGA). Then the advantages possibi
引文
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[20]张发明.一种主客方交互式群体评价方法及其应用[J].管理学报,2011,08(11):1714-1718.
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[23] Zeng S,Su W,Sun L. A method based on similarity measures for interactive group decision-making with intuitionistic fuzzy preference relations[J]. Applied Mathematical Modelling,2013,37(10-11):6909-6917.
[24] Xu Z. An interactive approach to multiple attribute group decision making with multigranular uncertain linguistic information[J]. Group Decision&Negotiation,2009,18(2):119-145.
[25]张发明,郭亚军,张连怀.一种多阶段交互式群体评价方法[J].管理学报,2010,07(9):1416-1420.
[26]张发明,孙文龙.基于区间数的多阶段交互式群体评价方法及应用[J].中国管理科学,2014,22(10):129-135.
[27] Zhou S,Yang J,Ding Y,et al. A Markov chain approximation to multi-stage interactive group decisionmaking method based on interval fuzzy number[J]. Soft Computing,2015. 1-8.
[28] Cabrerizo F J,Pérez I J,Herrera-Viedma E. Managing the consensus in group decision making in an unbalanced fuzzy linguistic context with incomplete information[J]. Knowledge-Based Systems,2010,23(2):169-181.
[29] Xu Z. Uncertain linguistic aggregation operators based approach to multiple attribute group decision making under uncertain linguistic environment[J]. Information Sciences,2004,168(s1-4):171-184.
[30] Herrera F,Herrera-Viedma E,Verdegay J L. A model of consensus in group decision making under linguistic assessments[J]. Fuzzy Sets&Systems,1996,78(1):73-87.
[31] Herrera F, Herrera-Viedma E, Verdegay J L. A sequential selection process in group decision making with a linguistic assessment approach[J]. Information Sciences,1995,85(95):223-239.
[32]徐泽水.不确定多属性决策方法及应用[M].北京:清华大学出版社,2004.
[33] Xu Z. A method based on linguistic aggregation operators for group decision making with linguistic preference relations[J]. Information Sciences,2004,166(s1-4):19-30.
[34]徐泽水.基于语言标度中术语指标的多属性群决策法[J].系统工程学报,2005,20(1):84-88.
[35]张发明,袁宇翔,梁龙武.多粒度不确定语言变量的多属性群决策方法及应用[J].系统管理学报,2017(06):64-73.
[36]孟新胜.我国B2C电子商务企业物流配送供应商选择问题研究[D].重庆大学,2012.
[2] Herrera F,Herrera-Viedma E,MartiNez L. A fusion approach for managing multi-ranularity linguistic term sets in decision making[J]. Fuzzy Sets&Systems,2000,114(1):43-58.
[3] Herrera F,MartiNez L,Sánchez P J. Managing nonhomogeneous information in group decision making[J].European Journal of Operational Research,2005,166(1):115-132.
[4]廖貅武,李垣,董广茂.一种处理语言评价信息的多属性群决策方法[J].系统工程理论与实践,2006,26(9):90-98.
[5] Chen Z,Ben-Arieh D. On the fusion of multi-granularity linguistic label sets in group decision making[J].Computers&Industrial Engineering,2006,51(3):526-541.
[6] Herrera F,Martínez L. A model based on linguistic 2-tuples for dealing with multi-granular hierarchical linguistic contexts in multi-expert decision-making[J]. IEEE Transactions on Systems,Man and Cybernetics Part B:Cybernetics,2001,31(2):227-234.
[7]姜艳萍,樊治平.一种具有不同粒度语言判断矩阵的群决策方法[J].中国管理科学,2006,14(6):104-108.
[8]梁昌勇,戚筱雯,张鑫.一种基于不同粒度且属性权重未知的群决策方法[J].运筹与管理,2010,19(1):43-48.
[9] Zhang Z,Guo C,Martínez L. Managing multi-granular linguistic distribution assessments in large-scale multiattribute group decision making[J]. Computer Science,2015.
[10]许叶军,达庆利.基于不同粒度语言判断矩阵的多属性群决策方法[J].管理工程学报,2009,23(2):69-73.
[11]龚本刚,华中生,檀大水.一种语言评价信息不完全的多属性群决策方法[J].中国管理科学,2007,15(1):88-93.
[12]梁昌勇,戚筱雯,丁勇,等.一种直觉模糊多属性群决策方法及其在群决策中的应用[J].运筹与管理,2013,22(1):41-47.
[13]姚爽,郭亚军,黄玮强.一种语言评价信息不完全的多属性群决策方法[J].系统工程学报,2011,26(4):460-467.
[14]彭怡,胡杨.考虑群体一致性的动态群体决策方法[J].运筹与管理,2004,13(4):69-72.
[15] Liang D,Xu Z,Liu D. Three-way decisions based on decision-theoretic rough sets with dual hesitant fuzzy information[J]. Information Sciences,2017,396:127-143.
[16]金伟.基于语言评价信息的交互式群决策方法研究[D].合肥工业大学,2009.
[17]徐泽水.基于残缺互补判断矩阵的交互式群决策方法[J].控制与决策,2005,20(8):913-916.
[18]邸强,朱建军,刘思峰,等.基于两类残缺偏好信息的交互式群决策方法研究[J].中国管理科学,2008(S1):177-181.
[19]杜娟,霍佳震.交互式多属性群决策评价方法研究[J].中国管理科学,2016,24(11):120-128.
[20]张发明.一种主客方交互式群体评价方法及其应用[J].管理学报,2011,08(11):1714-1718.
[21] Xu Z S,Chen J. An interactive method for fuzzy multiple attribute group decision making[J]. Information Sciences,2007,177(1):248-263.
[22] Xu Z. An interactive procedure for linguistic multiple attribute decision making with incomplete weight information[J]. Fuzzy Optimization and Decision Making,2007,6(1):17-27.
[23] Zeng S,Su W,Sun L. A method based on similarity measures for interactive group decision-making with intuitionistic fuzzy preference relations[J]. Applied Mathematical Modelling,2013,37(10-11):6909-6917.
[24] Xu Z. An interactive approach to multiple attribute group decision making with multigranular uncertain linguistic information[J]. Group Decision&Negotiation,2009,18(2):119-145.
[25]张发明,郭亚军,张连怀.一种多阶段交互式群体评价方法[J].管理学报,2010,07(9):1416-1420.
[26]张发明,孙文龙.基于区间数的多阶段交互式群体评价方法及应用[J].中国管理科学,2014,22(10):129-135.
[27] Zhou S,Yang J,Ding Y,et al. A Markov chain approximation to multi-stage interactive group decisionmaking method based on interval fuzzy number[J]. Soft Computing,2015. 1-8.
[28] Cabrerizo F J,Pérez I J,Herrera-Viedma E. Managing the consensus in group decision making in an unbalanced fuzzy linguistic context with incomplete information[J]. Knowledge-Based Systems,2010,23(2):169-181.
[29] Xu Z. Uncertain linguistic aggregation operators based approach to multiple attribute group decision making under uncertain linguistic environment[J]. Information Sciences,2004,168(s1-4):171-184.
[30] Herrera F,Herrera-Viedma E,Verdegay J L. A model of consensus in group decision making under linguistic assessments[J]. Fuzzy Sets&Systems,1996,78(1):73-87.
[31] Herrera F, Herrera-Viedma E, Verdegay J L. A sequential selection process in group decision making with a linguistic assessment approach[J]. Information Sciences,1995,85(95):223-239.
[32]徐泽水.不确定多属性决策方法及应用[M].北京:清华大学出版社,2004.
[33] Xu Z. A method based on linguistic aggregation operators for group decision making with linguistic preference relations[J]. Information Sciences,2004,166(s1-4):19-30.
[34]徐泽水.基于语言标度中术语指标的多属性群决策法[J].系统工程学报,2005,20(1):84-88.
[35]张发明,袁宇翔,梁龙武.多粒度不确定语言变量的多属性群决策方法及应用[J].系统管理学报,2017(06):64-73.
[36]孟新胜.我国B2C电子商务企业物流配送供应商选择问题研究[D].重庆大学,2012.