工业工程

工业工程 ›› 2024, Vol. 27 ›› Issue (3): 54-63.doi: 10.3969/j.issn.1007-7375.230111

• 复杂系统建模与运筹优化 • 上一篇    下一篇

基于区间q阶orthopair模糊可能度的多属性决策方法

王浩伦, 李旭翔, 徐挺俊, 冯良清   

  1. 南昌航空大学 经济管理学院，江西 南昌 330063
  • 收稿日期:2023-05-19 发布日期:2024-07-12
  • 通讯作者: 冯良清 (1976—)，男，江西省人，教授，博士，主要研究方向为质量管理与质量工程、智慧物流与供应链管理、智能制造服务运作管理。Email: lfeng@nchu.edu.cn E-mail:lfeng@nchu.edu.cn
  • 作者简介:王浩伦 (1981—)，男，浙江省人，讲师，博士，主要研究方向为决策理论与方法、循环供应链管理
  • 基金资助:
    国家自然科学基金资助项目 (71862025，72361026)；江西省“双千计划”哲学社会科学领军人才资助项目 (jxsq2019203008)；中国教育部人文社科基金资助项目 (19YJC630164)；江西省博士后科研资助计划 (2019KY14) ；江西省高校人文社科科学研究资助项目 (GL23104)

A Multi-attribute Decision-making Approach Based on Possibility Degree Measure in Interval-Valued q-Rung Orthopair Fuzzy Environment

WANG Haolun, LI Xuxiang, XU Tingjun, FENG Liangqing   

  1. School of Economics and Management, Nanchang Hangkong University, Nanchang 330063, China
  • Received:2023-05-19 Published:2024-07-12

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摘要： 判定区间q阶orthopair模糊数 (IVq-ROFNs) 排序关系是解决区间q阶orthopair模糊 (IVq-ROF) 决策问题的关键环节，而可能度测度是重要工具之一。针对现有得分函数、精确函数和可能度测度无法处理的反直觉问题，提出一种基于IVq-ROF可能度的多属性决策方法。首先，定义IVq-ROF环境下的可能度测度，并讨论其相关性质；然后，通过解决反直觉问题的例子说明本文所提IVq-ROF可能度测度的可行性和优势性；最后，构建基于IVq-ROF可能度的多属性决策模型，并由两个算例分析现有可能度在IVq-ROF环境中扩展的适用性，验证本文所提方法的有效性与合理性。

关键词: 区间q阶orthopair模糊数 (IVq-ROFNs), 可能度测度, 多属性决策, 反直觉

Abstract: Determining the ordering relation of interval-valued q-rung orthopair fuzzy numbers (IVq-ROFNs) is the key to solve the issue of interval-valued q-rung orthopair fuzzy (IVq-ROF) decision-making. In this context, possibility measure is one of the important tools. To address the counter intuitive problem that existing score functions, accuracy functions and possibility measures cannot solve, a multi-attribute decision-making method based on IVq-ROF possibility degree is proposed. Firstly, the possibility measure in IVq-ROF environment is defined, and its related properties are discussed. Then, through some counter intuitive examples, the feasibility and superiority of the IVq-ROF possibility measure are illustrated. Finally, a multi-attribute decision-making model based on IVq-ROF possibility degree is established. Also, two numerical examples are given to analyze the applicability of the existing possibility degree in IVq-ROF environment and verify the effectiveness and rationality of the proposed method.

Key words: interval-valued q-rung orthopair fuzzy numbers (IVq-ROFNs), possibility degree measure, multi-attribute decision-making, counter-intuitive

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