基于区间值犹豫模糊集的三支概念格  

Three-way Concept Lattices Based on Interval-valued Hesitant Fuzzy Sets

作　　者：宋泽宁 万仁霞 苗夺谦 SONG Zening;WAN Renxia;MIAO Duoqian(College of Mathematics and Information Science,North Minzu University,Yinchuan 750021,China;Ningxia Key Laboratory of Intelligent Information and Big Data Processing,Yinchuan 750021,China;College of Electronic and Information Engineering,Tongji University,Shanghai 201804,China)

机构地区：[1]北方民族大学数学与信息科学学院,银川750021 [2]宁夏智能信息与大数据处理重点实验室,银川750021 [3]同济大学计算机科学与技术系,上海201804

出　　处：《河北师范大学学报（自然科学版）》2025年第1期33-44,共12页Journal of Hebei Normal University：Natural Science

基　　金：国家自然科学基金(62066001);宁夏科技领军人才项目(2022GKLRLX08);宁夏自然科学基金(2021AAC03203)。

摘　　要：三支概念格是近年来形式概念分析研究的一个重要研究方向,已成为知识表示和数据分析的有力工具.为了调研区间值信息对三支概念格形成的影响,本文在三支概念分析中引入区间值犹豫模糊集,在区间值犹豫模糊背景下开展三支概念格的研究.先分别定义了对象导出和属性导出的区间值犹豫模糊三支算子,并在此基础上构建了区间值犹豫模糊三支概念格模型.分别从面向对象和面向属性的视角对所提出模型的性质进行研究.最后通过实例验证了所提出概念格模型的有效性和实用性.本文研究为三支概念格在处理区间值信息方面提供了有效解决方案,拓展了三支概念格研究的理论支撑.Three-way concept lattice is an important research direction of formal concept analysis and has emerged as a powerful tool for knowledge representation and data analysis.In order to investigate the influence of interval-valued information on the formation of three-way concept lattice,this paper introduces interval-valued hesitant fuzzy sets into three-way concept analysis,and delves into three-way concept lattice in the context of interval-valued hesitant fuzzy sets.Initially,object-induced interval-valued hesitant fuzzy three-way operators and attribute-induced interval-valued hesitant fuzzy three-way operators are defined respectively,and on this basis,the interval-valued hesitant fuzzy three-way concept lattice model is constructed.Subsequently,the properties of the proposed model are investigated from the perspectives of object-induced and attribute-induced respectively.Finally,the validity and practicability of the proposed concept lattice model are verified by an illustrative example.This article provides an effective solution for three-way concept lattice in processing interval-valued information,and expands the theoretical support for studying three-way concept lattice.

关 键 词：形式概念分析 三支概念格 区间值犹豫模糊集 犹豫模糊概念格 

分 类 号：O29[理学—应用数学]