基于梯形模糊数的动态混合多属性群决策方法

doi:10.3969/j.issn.1000-1565.2024.04.001

河北大学学报(自然科学版) ›› 2024, Vol. 44 ›› Issue (4): 337-345.DOI: 10.3969/j.issn.1000-1565.2024.04.001

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基于梯形模糊数的动态混合多属性群决策方法

林鹏¹,董春茹²,刘萍萍¹

收稿日期:2023-05-22 出版日期:2024-07-25 发布日期:2024-07-12
作者简介:林鹏(1982—),男,河北大学副教授,博士,主要从事决策方法与应用研究.E-mail:linpeng@hbu.edu.cn
基金资助:
河北省社会科学基金资助项目(HB22GL053)

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

LIN Peng¹, DONG Chunru², LIU Pingping¹

1.College of Management, Hebei University, Baoding 071002, China; 2.College of Mathematics and Information Science, Hebei University, Baoding 071002, China

Received:2023-05-22 Online:2024-07-25 Published:2024-07-12

摘要/Abstract

摘要： 基于梯形模糊数信息环境,研究动态混合多属性群决策问题.给出梯形模糊数的转化方法及梯形模糊数信息的加权综合集结方法,定义动态梯形模糊加权几何算子;提出不同类别权重的确定方法,利用决策专家的赋值离差和最小化方法确定决策者的权重,运用离差最大化模型确定属性权重,基于熵权法和Orness测度赋权法计算时间权重;在此基础上,利用VIKOR(多准则妥协解排序)法提出一种基于梯形模糊数的动态混合多属性群决策方法,并通过算例验证其可行性与有效性.

关键词: 梯形模糊数, 动态混合多属性群决策, 加权几何算子, VIKOR法

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

中图分类号:

C934

林鹏,董春茹,刘萍萍. 基于梯形模糊数的动态混合多属性群决策方法[J]. 河北大学学报(自然科学版), 2024, 44(4): 337-345.

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.

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基于梯形模糊数的动态混合多属性群决策方法

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

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