双论域区间值直觉模糊vague粗糙集及其应用  

Two-Universe Interval-valued Intuitionistic Fuzzy Vague Rough Sets and Their Application

作　　者：王潇雪 张贤勇 WANG Xiaoxue;ZHANG Xianyong(School of Mathematical Sciences,Sichuan Normal University,Chengdu 610066,Sichuan;Laurent Mathematical Center,Sichuan Normal University,Chengdu 610066,Sichuan;Institute of Intelligent Information and Quantum Information,Sichuan Normal University,Chengdu 610066,Sichuan)

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Laurent数学中心,四川成都610066 [3]四川师范大学智能信息与量子信息研究所,四川成都610066

出　　处：《四川师范大学学报（自然科学版）》2024年第1期25-31,共7页Journal of Sichuan Normal University（Natural Science）

基　　金：国家自然科学基金(61673285和11671284);四川省自然科学基金(2022NSFSC0929);四川省科技计划项目(2022ZYD0001)。

摘　　要：区间值直觉模糊集可诱导出vague集和粗糙集,而后两者的结合具有不确定性深入分析的优势.立足双论域区间值直觉模糊粗糙集,引入vague集进行融合扩张,研究双论域区间值直觉模糊vague粗糙集.首先,定义区间值直觉模糊vague相容类,构建双论域区间值直觉模糊vague粗糙集模型,提出关于双逼近近似和三支决策区域的计算算法,并确立该模型的精确度、粗糙度、依赖度.然后,研究该模型的近似算子与不确定性度量的性质.最后,采用医疗例子进行模型计算、度量测量、性质验证,并得到关于患者临床诊断的患病分析与治疗决策.Interval-valued intuitionistic fuzzy sets can induce both vague sets and rough sets,and the combination of the two has in-depth analysis advantages of uncertainty.Based on two-universe interval-valued intuitionistic fuzzy rough sets,vague sets are introduced to make fusion extensions,and thus two-universe interval-valued intuitionistic fuzzy vague rough sets are researched.At first,interval-valued intuitionistic fuzzy vague compatibility relations are defined,and two-universe interval-valued intuitionistic fuzzy vague rough sets are modeled;a calculation algorithm for dual approximations and three-way decision regions is designed,with the model's accuracy,roughness and dependency established.Then,the properties of approximate operators and uncertainty measures are studied for the model.Finally,a medical example is adopted for model calculation,metric measurement and property verification,so the related disease analysis and treatment decision are acquired for the patient's clinical diagnosis.

关 键 词：区间值直觉模糊集 区间值直觉模糊粗糙集 VAGUE集 粗糙集 近似算子 不确定度量 三支决策 

分 类 号：O159[理学—数学] TP18[理学—基础数学]