专家权重完全未知的区间直觉不确定语言多属性群决策方法

doi:10.11896/j.issn.1002-137X.2018.01.007

摘要/Abstract

摘要： 针对专家权重信息完全未知且属性值为区间直觉不确定语言数的模糊多属性群决策问题,提出一种基于混合权重信息及决策者风险态度的群决策分析方法。在定义区间直觉不确定语言数差异度的基础上,分别利用专家在方案评价值上的贴近度以及方案排序上的一致度来计算两类专家权重,并基于均衡度得到专家的客观综合权重。进而通过融合专家客观综合权重以及基于相似度的个体综合评价值权重,提出一种混合加权集结方法,从而得到方案的群体综合评价值,并通过定义带有风险态度因子的期望值与精确函数实现对方案的比较和排序。最后,通过实例分析证明所提方法的有效性和合理性。

关键词: 区间直觉不确定语言数,多属性群决策,专家权重,均衡度,混合权重信息,风险态度

Abstract: For the multi-attribute group decision making problems with completely unknown experts’ weights in which the attribute values take the form of interval-valued intuitionistic uncertain linguistic variables,this paper investigated a group decision analysis method based on hybrid weight information and decision maker’s risk attitude.On the basis of defining the difference degree between two interval-valued intuitionistic uncertain linguistic variables,two kinds of experts’ weights were calculated by using the closeness degree in evaluation and consistency degree in ranking respectively.Then based on the equilibrium degree,the objective comprehensive weights of experts were obtained.By fusing the objective comprehensive weights of experts and the weights of individual comprehensive evaluation values based on si-milarity,a hybrid weighted aggregation method was proposed to obtain the group comprehensive evaluation values.Furthermore,by defining the expected value and accuracy function with risk attitude factor,the comparison and ranking of the alternatives were completed.Finally,an illustrative example was given to prove the effectiveness and rationality of the above method.

Key words: Interval-valued intuitionistic uncertain linguistic variables,Multi-attribute group decision making,Experts’ weights,Equilibrium degree,Hybrid weight information,Risk attitude

庞继芳,宋鹏. 专家权重完全未知的区间直觉不确定语言多属性群决策方法[J]. 计算机科学, 2018, 45(1): 47-54. https://doi.org/10.11896/j.issn.1002-137X.2018.01.007

PANG Ji-fang and SONG Peng. Multi-attribute Group Decision Making Method for Interval-valued Intuitionistic Uncertain Language with Completely Unknown Experts’ Weights[J]. Computer Science, 2018, 45(1): 47-54. https://doi.org/10.11896/j.issn.1002-137X.2018.01.007

参考文献

[1] LIU S,CHAN F T S,RAN W X.Decision making for the selection of cloud vendor:An improved approach under group decision-making with integrated weights and objective/subjective attributes[J].Expert Systems with Applications,2016(55):37-47.
[2] LIU S,CHAN F T S,RAN W X.Multi-attribute group decision-making with multi-granularity linguistic assessment information:An improved approach based on deviation and TOPSIS[J].Applied Mathematical Modelling,2013,37(24):10129-10140.
[3] YUE Z L.Group decision making with multi-attribute interval data[J].Information Fusion,2013,14(4):551-561.
[4] MAO J J,YAO D B,WANG C C.Group decision making me-thods based on intuitionistic fuzzy soft matrices[J].Applied Ma-thematical Modelling,2013,37(9):6425-6436.
[5] JU Y B.A new method for multiple criteria group decision ma-king with incomplete weight information under linguistic environment[J].Applied Mathematical Modelling,2014,38(21/22):5256-5268.
[6] YUE Z L.Approach to group decision making based on determining the weights of experts by using projection method[J].Applied Mathematical Modelling,2012,36(7):2900-2910.
[7] ATANASSOV K T.Intuitionistic fuzzy sets[J].Fuzzy Sets and Systems,1986,20(1):87-96.
[8] ATANASSOV K,GARGOV G.Interval-valued intuitionisticfuzzy sets[J].Fuzzy Sets and Systems,1989,31(3):343-349.
[9] YUE Z L,JIA Y Y.An application of soft computing technique in group decision making under interval-valued intuitionistic fuzzy environment[J].Applied Soft Computing,2013,13(5):2490-2503.
[10] WEI G W,ZHAO X F.Some induced correlated aggregating ope-rators with intuitionistic fuzzy information and their application to multiple attribute group decision making[J].Expert Systems with Applications,2012,39(2):2026-2034.
[11] YUE Z L.TOPSIS-based group decision-making methodology in intuitionistic fuzzy setting[J].Information Sciences,2014,277(2):141-153.
[12] WAN S P,WANG Q Y,DONG J Y.The extended VIKOR method for multi-attribute group decision making with triangular intuitionistic fuzzy numbers[J].Knowledge-Based Systems,2013,52(6):65-77.
[13] ZHANG X L,XU Z S.Deriving experts’ weights based on consistency maximization in intuitionistic fuzzy group decision ma-king[J].Journal of Intelligent & Fuzzy Systems,2014,27(1):221-233.
[14] ZHOU L G,CHEN H Y.A generalization of the power aggregation operators for linguistic environment and its application in group decision making[J].Knowledge-Based Systems,2012(26):216-224.
[15] PANG J F,LIANG J Y.Evaluation of the results of multi-attribute group decision-making with linguistic information[J].Omega,2012,40(3):294-301.
[16] WANG J Q,PENG J J,ZHANG H Y,et al.An uncertain linguistic multi-criteria group decision-making method based on a cloud model[J].Group Decision and Negotiation,2015,24(1):171-192.
[17] PANG B,YE C M,ZENG S Z.Uncertain pure linguistic hybrid harmonic averaging operator and generalized interval aggregation operator based approach to group decision making[J].Knowledge-Based Systems,2012(36):175-181.
[18] HERRERA F,MARTINEZ L.A model based on linguistic 2-tu-ples for dealing with multi-granular hierarchical linguistic contexts in multi-expert decision-making[J].IEEE Transaction on Systems,Man and Cybernetics,2001,31(2):227-233.
[19] ZHANG Z,GUO C H.A method for multi-granularity uncertain linguistic group decision making with incomplete weight information[J].Knowledge-Based Systems,2012(26):111-119.
[20] CHEN T Y.An interval-valued intuitionistic fuzzy LINMAPmethod with inclusion comparison possibilities and hybrid averaging operations for multiple criteria group decision making[J].Knowledge-Based Systems,2013,45(3):134-146.
[21] WU J,LIU Y J.An approach for multiple attribute group decision making problems with interval-valued intuitionistic trapezoidal fuzzy numbers[J].Computers & Industrial Engineering,2013,66(2):311-324.
[22] LIU P D.Some generalized dependent aggregation operatorswith intuitionistic linguistic numbers and their application to group decision making[J].Journal of Computer and System Sciences,2013,79(1):131-143.
[23] LIU P D,JIN F.Methods for aggregating intuitionistic uncertain linguistic variables and their application to group decision ma-king[J].Information Sciences,2012,205(1):5-71.
[24] LIU P D.Some geometric aggregation operators based on interval intuitionistic uncertain linguistic variables and their application to group decision making[J].Applied Mathematical Modelling,2013,37(4):2430-2444.
[25] MENG F Y,CHEN X H,ZHANG Q.Some interval-valued intuitionistic uncertain linguistic Choquet operators and their application to multi-attribute group decision making[J].Applied Mathematical Modelling,2014,38(9/10):2543-2557.
[26] XU Z S.Induced uncertain linguistic OWA operators applied to group decision making[J].Information Fusion,2006,7(2):231-238.
[27] YE F,LI Y N.Group multi-attribute decision model to partner selection in the formation of virtual enterprise under incomplete information[J].Expert Systems with Applications,2009,36(5):9350-9357.
[28] XU Z S.Group decision making based on multiple types of linguistic preference relations[J].Information Sciences,2008,178(2):452-467.
[29] XU Z S.A multi-attribute group decision making method based on term indices in linguistic evaluation scales[J].Journal of Systems and Engineering,2005,20(1):84-88.(in Chinese) 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.
[30] PANG J F,SONG P.A research on evaluation and selection of materials suppliers for large coal enterprises[J].East China Economic Management,2015,29(2):117-122.(in Chinese) 庞继芳,宋鹏.面向大型煤炭企业的物资供应商评价与选择研究[J].华东经济管理,2015,29(2):117-122.

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