摘要
双论域信息系统下的模糊概率粗糙集是粗糙集理论的一个重要拓展模型,然而,该模型目前还未有三支决策方面的相关研究。针对这一问题,提出一种双论域信息系统下的模糊概率三支决策模型。首先在双论域模糊概率粗糙集基础上定义了决策动作和决策代价的概念;然后以贝叶斯决策最小化代价为基础,推导出了双论域模糊概率关系下决策区域的三元划分,即三支决策模型;最后提出了双论域信息系统的模糊概率三支决策分类算法。实验分析证明了所提出的三支决策分类算法在双论域信息系统上的有效性和优越性。
The fuzzy probability rough set under the two universes information system is an important extension model of rough set theory.However,there is currently no research on the three-way decision aspects of this model.To address this issue,a fuzzy probability three-way decision model in the two universes information system is proposed in this paper.Firstly,the concepts of decision actions and decision costs are defined based on the two universes fuzzy probability rough set;then,based on minimizing the cost of Bayesian decision-making,a three-way partition of decision regions under the two universes fuzzy probability relation was derived,which is the three-way decision model;finally,a fuzzy probabil⁃ity three-way decision classification algorithm for the two universes information systems was proposed.The experiments has demonstrated the effectiveness and superiority of the proposed three-way decision classification algorithms on the two universes information systems.
作者
卓雪雪
朱苍璐
ZHUO Xuexue;ZHU Canglu(School of Computer Engineering,Anhui Sanlian University,Hefei,Anhui 230000,Chian)
出处
《西昌学院学报（自然科学版）》
2023年第4期62-68,共7页
Journal of Xichang University(Natural Science Edition)
基金
安徽高校科学研究重点项目(2022AH051988、2022AH051994)。
关键词
粗糙集
双论域信息系统
模糊概率
三支决策
分类
rough set
two universes information system
fuzzy probability
three-way decision
classification
