基于概率语言术语集的VIKOR多属性决策方法
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摘要
基于VIKOR方法解决概率语言术语集语义环境下的多属性决策问题,将概率语言术语集刻画的属性指标与VIKOR方法有机结合,将候选方案的整体效益和个体属性遗憾程度同时纳入决策目标体系,并通过对VIKOR决策的判断准则进行修正,构建PLTS-VIKOR多属性决策模型,克服了以往TOPSIS法、集结算子综合法等在决策机制上的不足.通过决策实例验证了该方法的决策有效性和计算过程的相对简便性.
Based on VIKOR method,the multiple attribute decision making problem,under probabilistic linguistic term sets( PLTS),was solved. Firstly,the attribute indicators described by PLTS were combined with the VIKOR method to correct the judgment criterion of the VIKOR decision. Then the overall benefit and individual attribute regret of candidate schemes were incorporated into the decision making target system at the same time,and a PLTS-VIKOR multiple attribute decision making model was constructed to overcome the shortcomings of the previous TOPSIS method and aggregation operator synthesis method in decision making mechanism.Finally,the decision making effectiveness and the relative simplicity of the calculation process of the method were verified by decision making examples.
Based on VIKOR method,the multiple attribute decision making problem,under probabilistic linguistic term sets( PLTS),was solved. Firstly,the attribute indicators described by PLTS were combined with the VIKOR method to correct the judgment criterion of the VIKOR decision. Then the overall benefit and individual attribute regret of candidate schemes were incorporated into the decision making target system at the same time,and a PLTS-VIKOR multiple attribute decision making model was constructed to overcome the shortcomings of the previous TOPSIS method and aggregation operator synthesis method in decision making mechanism.Finally,the decision making effectiveness and the relative simplicity of the calculation process of the method were verified by decision making examples.
引文
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[19]Liu H,Jiang L,Xu Z. Entropy measures of probabilistic linguistic term sets[J]. International Journal of Computational Intelligence Systems,2018,11(1):45-87.
[20]Opricovic S. Multicriteria optimization of civil engineering systems[D]. Belgrade:Faculty of Civil Engineering,1998.
[21]Opricovic S,Tzeng G. Compromise solution by MCDM methods:A comparative analysis of VIKOR and TOPSIS[J]. European J of Operational Research,2004,156(2):445-455
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[24]Gou X,Xu Z. Novel basic operational laws for linguistic terms,hesitant fuzzy linguistic term sets and probabilistic linguistic term sets[J]. Information Sciences,2016,372:407-427.
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[2]Atanassov K T. Intuitionistic fuzzy sets[J]. Fuzzy Sets&Systems,1986,20(1):87-96.
[3]Torra V,Narukawa Y. On hesitant fuzzy sets and decision[C]//IEEE International Conference on Fuzzy Systems,2009. Fuzz-Ieee. IEEE,2009:1378-1382.
[4]Krop I E,Lorusso P,Miller K D,et al. A phase II study of trastuzumab emtansine in patients with human epidermal growth factor receptor 2-positive metastatic breast cancer who were previously treated with trastuzumab,lapatinib,an anthracycline,a taxane,and capecitabine[J]. Journal of Clinical Oncology,2012,30(26):3234-3241.
[5]Meng F,Chen X,Zhang Q. Multi-attribute decision analysis under a linguistic hesitant fuzzy environment[J]. Information Sciences,2014,267(13):287-305.
[6]Pang Q,Wang H,Xu Z. Probabilistic linguistic term dets in multi-attribute group decision making[J]. Information Sciences,2016,369:128-143.
[7]谭春桥,贾媛.基于证据理论和前景理论的犹豫-直觉模糊语言多准则决策方法[J].控制与决策,2017,32(2):333-339.
[8]赵科星,黄先玖.概率语言犹豫模糊集及其在多属性决策中的应用[J].南昌大学学报:理科版,2017,41(6):511-518.
[9]Bai C,Zhang R,Shen S,et al. Interval‐valued probabilistic linguistic term sets in multi-criteria group decision making[J].International Journal of Intelligent Systems,2018,33:1301-1321.
[10]Kobina A,Liang D,He X. Probabilistic linguistic power aggregation operators for multi-criteria group decision making[J].Symmetry,2017,9(12):320.
[11]Liu P,Teng F. Some muirhead mean operators for probabilistic linguistic term sets and their applications to multiple attribute decision-making[J]. Applied Soft Computing,2018,68:396-431.
[12]Zhang Y,Xu Z,Liao H. Water security evaluation based on the TODIM method with probabilistic linguistic term sets[J]. Soft Computing:https://doi.org/10.1007/s00500-018-3276-9.
[13]Liu P,You X. Probabilistic linguistic TODIM approach for multiple attribute decision-making[J]. Granular Computing,2017(12):1-10.
[14]Wu X,Liao H. An approach to quality function deployment based on probabilistic linguistic term sets and ORESTE method for multi-expert multi-criteria decision making[J]. Information Fusion,2018,43:13-26.
[15]Bai C,Zhang R,Qian L,et al. Comparisons of probabilistic linguistic term sets for multi-criteria decision making[J].Knowledge-Based Systems,2017,119(c):284-291.
[16]毛小兵,吴敏,商娜.基于概率语言相关系数的多属性群决策模型[J].江西师范大学学报(自然科学版),2018,42(3):267-274.
[17]Zhang Y,Xu Z,Wang H,et al. Consistency-based risk assessment with probabilistic linguistic preference relation[J].Applied Soft Computing,2016,49(c):817-833.
[18]Liao H,Jiang L,Xu Z,et al. A linear programming method for multiple criteria decision making with probabilistic linguistic information[J]. Information Sciences,2017,415:341-355.
[19]Liu H,Jiang L,Xu Z. Entropy measures of probabilistic linguistic term sets[J]. International Journal of Computational Intelligence Systems,2018,11(1):45-87.
[20]Opricovic S. Multicriteria optimization of civil engineering systems[D]. Belgrade:Faculty of Civil Engineering,1998.
[21]Opricovic S,Tzeng G. Compromise solution by MCDM methods:A comparative analysis of VIKOR and TOPSIS[J]. European J of Operational Research,2004,156(2):445-455
[22]Delgado M,Verdegay J L,Vila M A. Linguistic decision-making models[J]. International Journal of Intelligent Systems,2010,7(5):479-492.
[23]袁宇,关涛,闫相斌,等.基于混合VIKOR方法的供应商选择决策模型[J].控制与决策,2014,29(3):551-560.
[24]Gou X,Xu Z. Novel basic operational laws for linguistic terms,hesitant fuzzy linguistic term sets and probabilistic linguistic term sets[J]. Information Sciences,2016,372:407-427.
[25]Wang J Q,Wu J T,Wang J,et al. Multi-criteria decision-making methods based on the Hausdorff distance of hesitant fuzzy linguistic numbers[J]. Soft Computing,2016,20(4):1621-1633.