Dynamic hybrid multi-attribute group decision making method based on trapezoidal fuzzy number

doi:10.3969/j.issn.1000-1565.2024.04.001

Abstract

Abstract: Based on trapezoidal fuzzy number information environment, the problem of dynamic mixed multi-attribute group decision making is studied. The transformation method of trapezoid fuzzy number and the weighted synthesis method of trapezoid fuzzy number information are given, and the dynamic trapezoid fuzzy weighted geometric operator is defined. The weight of decision-makers is determined by using different expert distance deviation and minimization methods. The attribute weight is determined by using deviation maximization model. The time weight is calculated based on entropy weight method and Orness measure weighting method. On this basis, a dynamic hybrid multi-attribute group decision-making method based on VIKOR method is proposed and the feasibility and effectiveness of the method is verified by a numerical example.

Key words: trapezoidal fuzzy number, dynamic hybrid multi-attribute group decision making, weighted geometric operator, VIKOR method

CLC Number:

C934

LIN Peng, DONG Chunru, LIU Pingping. Dynamic hybrid multi-attribute group decision making method based on trapezoidal fuzzy number[J]. Journal of Hebei University(Natural Science Edition), 2024, 44(4): 337-345.

References

[1] 熊小玲.基于动态混合多属性群决策的供应商选择研究[D].南昌: 南昌大学, 2014.
[2] 裴凤,张莉莉,闫安.基于两参照点的动态混合多属性群决策算法[J].控制与决策, 2018, 33(3): 571-576. DOI: 10.13195/j.kzyjc.2016.1608.
[3] KESHAVARZ-GHORABAEE M, AMIRI M, ZAVADSKAS E, et al. A dynamic fuzzy approach based on the EDAS method for multi-criteria subcontractor evaluation[J]. Information, 2018, 9(3): 68. DOI: 10.3390/info9030068.
[4] WANG L, RODRÍGUEZ R M, WANG Y M. A dynamic multi-attribute group emergency decision making method considering experts’ hesitation[J]. Int J Comput Intell Syst, 2018, 11(1): 163-182. DOI: 10.2991/ijcis.11.1.13.
[5] ZHANG C, LI D Y, LIANG J Y, et al. MAGDM-oriented dual hesitant fuzzy multigranulation probabilistic models based on MULTIMOORA[J]. Int J Mach Learn Cybern, 2021, 12(5): 1219-1241. DOI: 10.1007/s13042-020-01230-3.
[6] LI Y P, LIU M, CAO J, et al. Multi-attribute group decision-making considering opinion dynamics[J]. Expert Syst Appl, 2021, 184: 115479. DOI: 10.1016/j.eswa.2021.115479.
[7] LIU B S, JIAO S X, SHEN Y H, et al. A dynamic hybrid trust network-based dual-path feedback consensus model for multi-attribute group decision-making in intuitionistic fuzzy environment[J]. Inf Fusion, 2022, 80(C): 266-281. DOI: 10.1016/j.inffus.2021.09.020.
[8] 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.
[9] 付亚男,毛军军,徐丹青.基于离差最大化的IITFN多属性决策模型[J].计算机工程, 2013, 39(2): 202-206. DOI: 10.3969/j.issn.1000-3428.2013.02.041.
[10] 梅鑫南,王应明.基于前景理论和熵权法的交叉效率集结方法[J].运筹与管理, 2022, 31(7): 35-41. DOI: 10.12005/orms.2022.0213.
[11] GAO J W, LI M, LIU H H. Generalized ordered weighted utility proportional averaging-hyperbolic absolute risk aversion operators and their applications to group decision-making[J]. Appl Math Comput, 2015, 252: 114-132. DOI: 10.1016/j.amc.2014.12.009.
[12] SANAYEI A, MOUSAVI S F, YAZDANKHAH A. Group decision making process for supplier selection with VIKOR under fuzzy environment[J]. Expert Syst Appl, 2010, 37(1): 24-30. DOI: 10.1016/j.eswa.2009.04.063.
[13] 兰蓉,范九伦.梯形模糊数上的完备度量及其在多属性决策中的应用[J].工程数学学报, 2010, 27(6): 1001-1008. DOI: 10.3969/j.issn.1005-3085.2010.06.007.
[14] 孙红霞,张强.区间数型模糊VIKOR方法[J].模糊系统与数学, 2011, 25(5): 122-128. (