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基于直觉模糊容差粗糙集的三支决策模型

吴淑棋 黄韩亮 姚卫

海南师范大学学报(自然科学版)2025,Vol.38Issue(3):253-263,11.
海南师范大学学报(自然科学版)2025,Vol.38Issue(3):253-263,11.DOI:10.12051/j.issn.1674-4942.2025.03.001

基于直觉模糊容差粗糙集的三支决策模型

Three-way Decision Model Based on Intuitionistic Fuzzy Tolerance Rough Sets

吴淑棋 1黄韩亮 1姚卫2

作者信息

  • 1. 闽南师范大学 数学与统计学院,福建 漳州 363000
  • 2. 南京信息工程大学 数学与统计学院,江苏 南京 210044
  • 折叠

摘要

Abstract

In the intuitionistic fuzzy information system,a new intuitionistic fuzzy tolerance degree is defined,a classifica-tion approach for intuitionistic fuzzy tolerance classes is proposed.New formulas for calculating positive and negative devia-tion values are introduced.Based on these,a novel method for calculating conditional probability is developed,leading to the establishment of a three-way decision model based on intuitionistic fuzzy tolerance rough sets.This model is capable of classification,ranking,and selecting the optimal solution.Finally,examples and comparative experiments are provided to verify the feasibility and stability of the model.

关键词

三支决策/直觉模糊容差粗糙集/正、负离差值/条件概率

Key words

three-way decision/intuitionistic fuzzy tolerance rough sets/positive and negative deviation values/conditional probability

分类

数理科学

引用本文复制引用

吴淑棋,黄韩亮,姚卫..基于直觉模糊容差粗糙集的三支决策模型[J].海南师范大学学报(自然科学版),2025,38(3):253-263,11.

基金项目

国家自然科学基金项目(12371462,12231007) (12371462,12231007)

福建省自然科学基金项目(2021J01984,2024J01803) (2021J01984,2024J01803)

海南师范大学学报(自然科学版)

1674-4942

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