广义区间值q阶orthopair犹豫模糊软集及其多属性决策  

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

作　　者：吴维 张贤勇 杨霁琳[2,3] WU Wei;ZHANG Xianyong;YANG Jilin(School of Mathematical Sciences,Sichuan Normal University,Chengdu 610066,Sichuan,China;Institute of Intelligent Information and Quantum Information,Sichuan Normal University,Chengdu 610066,Sichuan,China;College of Computer Science,Sichuan Normal University,Chengdu 610101,Sichuan,China)

机构地区：[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

出　　处：《山东大学学报(理学版)》2025年第1期101-110,共10页Journal of Shandong University(Natural Science)

基　　金：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)。

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。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.

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 

分 类 号：O159[理学—数学]