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《山东大学学报(理学版)》 ›› 2025, Vol. 60 ›› Issue (8): 34-51.doi: 10.6040/j.issn.1671-9352.0.2023.373

• • 上一篇    

区间犹豫梯形模糊Choquet Muirhead平均算子及其在多属性决策中的应用

江立辉1,徐金辉2,陈华友3   

  1. 1.合肥大学人工智能与大数据学院, 安徽 合肥 230601;2.合肥大学经济与管理学院, 安徽 合肥 230601;3.安徽大学大数据与统计学院, 安徽 合肥 230601
  • 发布日期:2025-07-25
  • 作者简介:江立辉(1980— ),男,教授,硕士,研究方向为预测与决策分析. E-mail:24685003@qq.com
  • 基金资助:
    国家自然科学基金资助项目(72371001);国家级大学生创新创业训练计划项目(202311059041,202311059050);合肥大学研究生创新项目(2024Y);安徽省质量工程项目(2023jyxm0550);安徽省学科(专业)带头人培育项目(DTR2024039)

Interval hesitant trapezoidal fuzzy Choquet Muirhead mean operator and its application in multi-attribute decision making

JIANG Lihui1, XU Jinhui2, CHEN Huayou3   

  1. 1. School of Artificial Intelligence and Big Data, Hefei University, Hefei 230601, Anhui, China;
    2. College of Economic and Management, Hefei University, Hefei 230601, Anhui China;
    3. School of Big Data and Statistics, Anhui University, Hefei 230601, Anhui, China
  • Published:2025-07-25

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摘要： 为了保证决策信息的完整性,将Muirhead平均算子运用到区间犹豫梯形模糊环境中,提出了区间犹豫梯形模糊Muirhead平均算子、区间犹豫梯形模糊几何Muirhead平均算子的概念。给出了它们的性质及定理,并介绍了算子的几种退化形式。考虑到Choquet积分可以客观的计算属性权重,将Choquet积分引入上述算子,提出了区间犹豫梯形模糊Choquet Muirhead平均算子和区间犹豫梯形模糊几何Choquet Muirhead平均算子的概念。同时构造了基于区间犹豫梯形模糊Choquet Muirhead平均算子的多属性决策模型。最后,将其应用到绿色电池供应商选择问题中,分析其可行性和有效性。

关键词: 区间犹豫梯形模糊集, Choquet积分, Muirhead平均算子, 区间犹豫梯形模糊Choquet Muirhead平均算子, 多属性决策

Abstract: In order to ensure the integrity of decision information, we extend the Muirhead mean operator in the environment of interval hesitant trapezoidal fuzzy sets. The concepts of interval hesitant trapezoidal fuzzy Muirhead mean operator and interval hesitant trapezoidal fuzzy geometric Muirhead mean operator have been proposed. Their properties and theorems are given, and several degenerate forms of the operators are introduced. Considering that the Choquet integral can objectively calculate the weights of attributes, this paper introduces the Choquet integral into the above operators, and proposes the concepts of interval hesitant trapezoidal fuzzy Choquet Muirhead mean operator and interval hesitant trapezoidal fuzzy geometric Choquet Muirhead mean operator. Meanwhile, a multi-attribute decision making model based on interval hesitant trapezoidal fuzzy Choquet Muirhead mean operator is constructed. Finally, it was applied to the green battery supplier selection problem to analyze its feasibility and effectiveness.

Key words: interval hesitant trapezoidal fuzzy set, Choquet integral, Muirhead mean operator, interval hesitant trapezoidal fuzzy Choquet Muirhead mean operator, multi-attribute decision making

中图分类号: 

  • C934
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