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阿基米德copula复模糊聚合算子及其群决策应用

杜文胜 赵欣胜

郑州大学学报(理学版)2026,Vol.58Issue(5):78-85,8.
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郑州大学学报(理学版)2026,Vol.58Issue(5):78-85,8.DOI:10.13705/j.issn.1671-6841.2025048

阿基米德copula复模糊聚合算子及其群决策应用

Complex Fuzzy Aggregation Operators Based on Archimedean Copula and Their Application to Group Decision Making

杜文胜 1赵欣胜1

作者信息

  • 1. 郑州大学 商学院 河南 郑州 450001
  • 折叠

摘要

Abstract

Based on Archimedean copula functions,operations of complex fuzzy numbers were defined.The Archimedean copula complex fuzzy weighted arithmetic/geometric average operators were proposed.These operators were proved to be idempotent,monotonic and boundary.In case of unknown attribute weights,the entropy weight method was employed to calculate the attribute weights,and a multi-attribute group decision-making method was presented via the developed operators.This method integrated com-plex fuzzy numbers,copula functions,aggregation operators,and information entropy to tackle compre-hensive evaluation with uncertainty.The feasibility of this method was illustrated by an example of site se-lection for a solar power plant,and the flexibility was demonstrated by the influence of generators and pa-rameters within copulas functions on the evaluation results.Finally,the validity and reliability of the pro-posed method were verified in comparison with existing methods.

关键词

多属性群决策/复模糊信息/阿基米德copula/加权聚合算子/信息熵

Key words

multiple attribute group decision making/complex fuzzy information/Archimedean copula/weighted aggregation operator/information entropy

分类

管理科学

引用本文复制引用

杜文胜,赵欣胜..阿基米德copula复模糊聚合算子及其群决策应用[J].郑州大学学报(理学版),2026,58(5):78-85,8.

基金项目

国家自然科学基金项目(12271493) (12271493)

河南省自然科学基金项目(242300421154) (242300421154)

河南省高等学校重点科研项目(24A790020) (24A790020)

河南省高等学校青年骨干教师培养计划(2024GGJS001) (2024GGJS001)

郑州大学学报(理学版)

1671-6841

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