河北师范大学学报(自然科学版)2025,Vol.49Issue(1) :33-44.DOI:10.13763/j.cnki.jhebnu.nse.202501002

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

宋泽宁 万仁霞 苗夺谦
河北师范大学学报(自然科学版)2025,Vol.49Issue(1) :33-44.DOI:10.13763/j.cnki.jhebnu.nse.202501002

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

宋泽宁 1万仁霞 2苗夺谦3
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作者信息

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

Abstract

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 re-spectively,and on this basis,the interval-valued hesitant fuzzy three-way concept lattice model is construc-ted.Subsequently,the properties of the proposed model are investigated from the perspectives of object-in-duced and attribute-induced respectively.Finally,the validity and practicability of the proposed concept lat-tice 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

Key words

formal concept analysis/three-way concept lattice/interval-valued hesitant fuzzy set/hesi-tant fuzzy concept lattice

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出版年

2025
河北师范大学学报(自然科学版)
河北师范大学

河北师范大学学报(自然科学版)

影响因子:0.291
ISSN:1000-5854
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