区间值毕达哥拉斯犹豫模糊粗糙集  

Interval-valued Pythagorean Hesitant Fuzzy Rough Set

作　　者：黄月 张贤勇 HUANG Yue;ZHANG Xian-yong(School of Mathematical Sciences,Sichuan Normal University,Chengdu 610066,China;Institute of Intelligent Information and Quantum Information.Sichuan Normal University,Chengdu 610066,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

出　　处：《模糊系统与数学》2021年第6期143-152,共10页Fuzzy Systems and Mathematics

基　　金：国家自然科学基金资助项目(61673258);四川省科技计划项目(2021YJ0085,2019YJ0529)。

摘　　要：区间值毕达哥拉斯犹豫模糊集是毕达哥拉斯犹豫模糊集的扩展,增强了不确定信息处理的鲁棒性。将区间值毕达哥拉斯犹豫模糊信息融入粗糙集分析,进行相应不确定性建模,实现不确定性信息融合。基于区间值毕达哥拉斯犹豫模糊关系,构建区间值毕达哥拉斯犹豫模糊粗糙集模型,研究下上近似关于集合并交补运算的基本性质,得到近似集的知识粒化单调性质,采用实例分析进行模型说明与性质验证。所得模型与性质有利于区间值信息系统的不确定性推理。Interval-valued Pythagorean hesitant fuzzy sets extend Pythagorean hesitant fuzzy sets,so they enhance robustness of uncertainty information processing.Interval-valued Pythagorean hesitant fuzzy information is integrated into rough set analysis,and corresponding uncertainty modeling is implemented to realize uncertainty information fusion.Based on interval-valued Pythagorean hesitant fuzzy relation,a model of interval-valued Pythagorean hesitant fuzzy rough set is constructed;lower and upper approximations are studied to acquire basic properties on set operations of union,intersection,completion,and knowledge granularity monotonicity of approximations is also achieved;finally,the new model and in-depth properties are effectively verified by example analysis.The obtained model and properties facilitate uncertainty reasoning of interval-valued information systems.

关 键 词：粗糙集 模糊粗糙集 犹豫模糊集 毕达哥拉斯犹豫模糊粗糙集 区间值毕达哥拉斯犹豫模糊集 区间值信息系统 

分 类 号：O159[理学—数学]