容差粗糙集的结构化近似
Structured Approximations in Tolerance Rough Set
张海娣 1万仁霞 1卢彦君 2刘伟2
作者信息
- 1. 北方民族大学 数学与信息科学学院, 宁夏 银川 750021;宁夏智能信息与大数据处理重点实验室, 宁夏 银川 750021
- 2. 宁夏智能信息与大数据处理重点实验室, 宁夏 银川 750021
- 折叠
摘要
将结构化技术用于容差粗糙集模型,提出结构化容差粗糙集模型,并借助Φ算子对该模型进行刻画,研究其相关性质.由于结构化容差粗糙集的上、下近似是以容差类为元素的多重集,因而有效保地留对象间的结构信息.最后,对该模型的不精确性和不完备性的刻画进行讨论.
Abstract
To some extent,the tolerance relation can overcome the problem that the indiscernable relation is too strict in the classical rough set theory,and the structuralization of the rough set can preserve the classified information of the data object.In this paper,the structuring technology is applied to the tolerance rough set model,and the structured tolerance rough set model is proposed.The proposed model is characterized by operator Φ,and its related properties are also explored.Since the upper and lower approximations of structured tolerance rough set are multisets of tolerance classes,they can effectively retain the structural information of objects.Finally,the inaccura-cy and the incompleteness of the proposed model are discussed.
关键词
结构化/容差/粗糙集/多重集/近似精度/粗糙度Key words
structured/tolerance/rough set/multiset/approximate accuracy/roughness引用本文复制引用
基金项目
国家自然科学基金(61662001)
国家自然科学基金(61762002)
国家民委中青英才项目(2016GQR06)
宁夏一流学科建设项目(NXYLXK2017B09)
宁夏智能信息与大数据处理重点实验室开放基金(2019KLBD006)
出版年
2024
NETL
NSTL
万方数据