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《山东大学学报(理学版)》 ›› 2025, Vol. 60 ›› Issue (1): 101-110.doi: 10.6040/j.issn.1671-9352.4.2023.0181

• • 上一篇    

广义区间值q阶orthopair犹豫模糊软集及其多属性决策

吴维1,2,张贤勇1,2*,杨霁琳2,3   

  1. 1.四川师范大学数学科学学院, 四川 成都 610066;2.四川师范大学智能信息与量子信息研究所, 四川 成都 610066;3.四川师范大学计算机科学学院, 四川 成都 610101
  • 发布日期:2025-01-10
  • 通讯作者: 张贤勇(1978— ),男,教授,博士生导师,博士,研究方向为不确定分析与信息处理. E-mail: xianyongzh@sina.com
  • 作者简介:吴维(1997— ),女,硕士研究生,研究方向为模糊集与软集. E-mail:2394315654@qq.com*通信作者:张贤勇(1978— ),男,教授,博士生导师,博士,研究方向为不确定分析与信息处理. E-mail: xianyongzh@sina.com
  • 基金资助:
    四川省自然科学基金资助项目(2022NSFSC0929);四川省科技计划资助项目(2021YJ0085,2022ZYD0001)

Generalized interval-valued q-rung orthopair hesitant fuzzy soft sets and their multi-attribute decision making

WU Wei1,2, ZHANG Xianyong1,2*, YANG Jilin2,3   

  1. 1. School of Mathematical Sciences, Sichuan Normal University, Chengdu 610066, Sichuan, China;
    2. Institute of Intelligent Information and Quantum Information, Sichuan Normal University, Chengdu 610066, Sichuan, China;
    3. College of Computer Science, Sichuan Normal University, Chengdu 610101, Sichuan, China
  • Published:2025-01-10

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摘要： 提出广义区间值q阶orthopair犹豫模糊软集,定义并、交、补、且、或运算并研究相关性质。针对广义区间值q阶orthopair犹豫模糊软集,提取关联区间值的平均隶属度和平均非隶属度,定义相关性和相关系数,得到扩张原则与基本性质。采用广义区间值q阶orthopair犹豫模糊软集的相关系数优化排序,从而实施多属性决策,采用医疗资源实例及能源项目投资案例验证新建决策方法的有效性。结果表明,相关的建模、度量及决策有利于不确定分析与应用。

关键词: q阶orthopair犹豫模糊集, 广义区间值模糊软集, 广义区间值q阶orthopair犹豫模糊软集, 相关系数, 多属性决策

Abstract: Generalized interval-valued q-rung orthopair hesitant fuzzy soft sets(GIVq-ROHFSSs)are proposed, and their operations of union, intersection, complement, and, or are defined to gain relevant properties. Regarding GIVq-ROHFSSs, average membership and non-membership degrees associated with interval values are extracted, and correlations and correlation coefficients are defined to acquire an extended principle and several basic properties. Correlation coefficients of GIVq-ROHFSSs are adopted, and optimal sorting is performed to motivate multi-attribute decision making. The practical example of medical resources and the energy project investment case show the effectiveness of new decision method. The related modeling, measurement and decision facilitate uncertainty analysis and applications.

Key words: q-rung orthopair hesitant fuzzy sets, generalized interval-valued fuzzy soft sets, generalized interval-valued q-rung orthopair hesitant fuzzy soft sets, correlation coefficient, multi-attribute decision making

中图分类号: 

  • O159
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