针对专家评价信息具有混合多属性且权重未知的群决策问题, 首先提出了基于方案属性值的相离度与模糊熵的专家权重的确定方法.然后通过线性加权得到不同专家的动态组合权重值,并将其与布尔值结合,提出了一种新的基于梯形模糊数混合多属性群决策方法.最后通过实际案例,验证了此方法的合理性与可行性.
In order to solve the problem of group decision-making where the expert evaluation information is mixed with multiple attributes and the weights are unknown, a method for determining the weights of expert attributes based on the dissociation of attribute values and fuzzy entropy of each scheme is proposed firstly, and then the dynamic combination weights of different experts are obtained through linear weighting, and a new multi-attribute group decision-making method based on trapezoidal fuzzy number is proposed after combining them with Boolean values. Finally, the rationality and feasibility of this method are verifed by the actual case analysis.
[1] 潘亚虹,耿秀丽.一种基于VIKOR的混合多属性群决策方法[J].机械设计与研究, 2018, 34(1): 177-182. DOI: 10.13952/j.cnki.jofmdr.2018.0040.
[2] 齐春泽.基于梯形模糊MULTIMOORA的混合多属性群决策方法[J].统计与决策, 2019, 35(5): 41-45. DOI: 10.13546/j.cnki.tjyjc.2019.05.008.
[3] 李美娟,潘瑜昕,徐林明,等.改进区间数动态TOPSIS评价方法[J].系统科学与数学, 2021, 41(7): 1891-1904.
[4] 杨晋,李丽.动态扰动模糊多属性决策的VIKOR方法[J]. 内江师范学院学报, 2024, 39(12): 32-38. DOI: 10. 13603/j. cnki. 51-1621/z. 2024. 12. 006.
[5] 周雨婷,叶国菊,刘尉,等.基于组合赋权的直觉模糊多属性动态决策方法[J].西华大学学报(自然科学版), 2022, 41(1): 90-95. DOI: 10.12198/j.issn.1673.
[6] 左勇华,梁周扬,左妹华.基于单峰偏好理论的动态模糊偏序多属性群决策方法[J].统计与决策, 2022, 38(4): 174-179. DOI: 10.13546/j.cnki.tjyjc.2022.04.034.
[7] 彭泽辉,杨建平,李海滨,等.一种新的基于信任区间的信任熵[J].内蒙古工业大学学报(自然科学版),2023,42(6):488-492.DOI:10.13785/j.cnki.nmggydxxbzrkxb.2023.06.002.
[8] CHENG C H. Evaluating weapon systems using ranking fuzzy numbers[J]. Fuzzy Sets Syst, 1999, 107(1): 25-35. DOI: 10.1016/S0165-0114(97)00348-5.
[9] HUANG H R, CAI K. A method of fuzzy multiple attribute decision making based on the error-eliminating theory[J]. J Intell Fuzzy Syst, 2016, 31(4): 2119-2127. DOI: 10.3233/jifs-169051.
[10] ZHANG Z M. Deriving the priority weights from trapezoidal fuzzy reciprocal preference relations based on uncertainty ratio and geometric mean[J]. J Intell Fuzzy Syst, 2017, 33(2): 1083-1095. DOI: 10.3233/jifs-16303.
[11] 刘万里,刘艺.关于梯形模糊数排序的新方法[J].郑州航空工业管理学院学报, 2024, 42(4): 106-112. DOI: 10.19327/j.cnki.zuaxb.1007-9734.2024.04.015.
[12] XU Z S, DA Q L. An overview of operators for aggregating information[J]. Int J Intell Syst, 2003, 18(9): 953-969. DOI: 10.1002/int.10127.
[13] PEDRYCZ W. Why triangular membership functions?[J]. Fuzzy Sets Syst, 1994, 64(1): 21-30. DOI: 10.1016/0165-0114(94)90003-5.
[14] 齐春泽. 基于梯形模糊 MULTIMOORA 的混合多属性群决策方法[J]. 统计与决策, 2019, 35(5): 41-45.DOI: 10. 13546/j. cnki. tjyjc. 2019. 05. 008.
[15] 胡经涛,王应明.基于动态区间三角模糊多属性决策的灰色关联扩展方法[J]. 物流工程与管理, 2020, 42(4): 173-177. DOI: 10.3969/j.issn.1674-4993.2020.04.056.
[16] 李美娟,易思成,邱启荣,等.基于TOPSIS的动态三角模糊多属性决策方法[J]. 系统科学与数学, 2022, 42(3): 614-625. DOI: 10.12341/jssms21341.
[17] 马文娜.基于累积前景理论的动态区间直觉犹豫模糊多属性决策方法研究[D].保定:河北大学, 2023. DOI: 10.27103/d.cnki.ghebu.2023.002121. (
