HE Yi,MAO Junjun,DENG Lijun.An improved PROMETHEE II method and its application in Z probabilistic linguistic term sets circumstances[J].Journal of Yanbian University,2023,(03):223-229.
Z概率语言术语集环境下改进的PROMETHEE Ⅱ方法及其应用
- Title:
- An improved PROMETHEE II method and its application in Z probabilistic linguistic term sets circumstances
- 文章编号:
- 1004-4353(2023)03-0223-07
- Keywords:
- multi - attribute decision problems; improved PROMETHEE II method; reliability; Z probabilistic linguisticterm sets; attribute weight; distance measure
- 分类号:
- C934
- 文献标志码:
- A
- 摘要:
- 针对属性权重未知的多属性决策问题,在Z概率语言术语集(ZPLTS)环境下,提出了一种改进的PROMETHEE II(preference ranking organization method for enrichment evaluations II)方法.在该方法中,各评价信息的综合可靠度由评价本身的可靠度和决策者给出的可靠度来确定,并由此进一步确定属性的权重; 距离测度采用扩展的欧式距离,该方法在ZPLTS环境下能够克服不同Z概率语言值(ZPLVs)之间的距离均为0所带来的决策偏差.实例研究表明,该方法在反映原始数据信息和确定未知属性权重方面显著优于TOPSIS方法和传统的PROMETHEE II方法,因此该方法可应用于多属性决策问题中.
- Abstract:
- For multi - attribute decision problems with unknown attribute weights, an improved PROMETHEE II(preference ranking organization method for enrichment evaluations II)method was proposed in the ZPLTS(Z probabilistic linguistic term sets)environment.In this method, the comprehensive reliability of each evaluation information was determined by the reliability of the evaluation itself and the reliability given by the decision maker, and the weights of the attributes were further determined.The distance measure adopts extended Euclidean distance, which can overcome that the deviation of decision results caused by the distance between different ZPLVs being 0 in the ZPLTS environment.The practical application shows that this method significantly outperforms the TOPSIS method and the traditional PROMETHEE II method in reflecting the original data information and determining the weights of unknown attributes.Therefore, this method can be applied to multi - attribute decision problems.
参考文献/References:
[1] ZADEH L A.Fuzzy sets [J].Information and Control, 1965,8(3):338 - 353.
[2] RODRIGUEZ R M, MARTINEZ L, HERRERA F.Hesitant fuzzy linguistic term sets for decision making [J].IEEE Transactions on Fuzzy Systems, 2012,20(1):109 - 119.
[3] PANG Q, WANG H, XU Z S.Probabilistic linguistic term sets in multi - attribute group decision making [J].Information Sciences, 2016,369(11):128 - 143.
[4] WANG J Q, CAO Y X, ZHANG H Y.Multi - criteria decision - making method based on distance measure and choquet integral for linguistic Z - numbers [J].Cognitive Computation, 2017,9(6):827 - 842.
[5] ZADEH L A.A note on Z - numbers [J].Information Sciences, 2011,181(14):2923 - 2932.
[6] CHAI J H, XIAN S D, LU S C.Z probabilistic linguistic term sets and its application in multi - attribute group decision making [J].Fuzzy Optimization and Decision Making, 2021,20(4):529 - 566.
[7] XU Z S.Deviation measures of linguistic preference relations in group decision making [J].Omega, 2004,33(3):249 - 254.
[8] ZHONG X Y, XU X H, CHEN X H, et al.Reliability - based multi - attribute large group decision making under probabilistic linguistic environment [J].Expert Systems with Applications, 2022,210:118342.
[9] LIU Z M, WANG W X, WANG D, et al.A modified ELECTRE II method with double attitude parameters based on linguistic Z - number and its application for third - party reverse logistics provider selection [J].Applied Intelligence, 2022,52(13):14964 - 14987.
备注/Memo
收稿日期: 2023-06-04
基金项目: 国家自然科学基金面上项目(72171002); 安徽省省级研究生教育教学改革研究项目(2022jyjxggyj135)
第一作者: 何昳(1998—),女,硕士研究生,研究方向为统计决策.
通信作者: 毛军军(1973—),女,博士,教授,研究方向为人工智能、数据挖掘和多属性决策.