乐观多粒度区间集粗糙集  

Optimistic Multi-granulation Interval-set Rough Sets

作　　者：马建敏[1] 景嫄 MA Jianmin;JING Yuan(Department of Mathematics and Information Sciences,Faculty of Science, Chang′an University,Xi′an 710064,China)

机构地区：[1]长安大学理学院数学与信息科学系,陕西西安710064

出　　处：《郑州大学学报（理学版）》2018年第3期87-93,共7页Journal of Zhengzhou University:Natural Science Edition

基　　金：国家自然科学基金项目(10901025;11501048;61772019)

摘　　要：Pawlak粗糙集基于单个粒空间(一个等价关系)建立了上、下近似来刻画目标概念,而乐观多粒度粗糙集则利用多个粒空间(一族等价关系)对目标概念进行近似描述,是Pawlak粗糙集的一种扩展.区间集通过上、下界给出了概念的外延范围.在区间集粗糙集的基础上,提出了乐观多粒度区间集粗糙集,研究了它们的性质,并进一步给出了单个和多个粒空间下几种区间集粗糙集和乐观多粒度区间集粗糙集之间的关系.Pawlak′s rough sets showed the lower and upper approximations of a target concept by using a single granular space(an equivalence relation).The optimistic multi-granulation rough sets,an extension of Pawlak′s rough sets,provided the approximated description of a target concept based on multiple granular spaces(a family of equivalence relations).An interval-set was given by using the lower and upper bounds to investigate the extension of a concept.Based on the interval-set rough set,optimistic multi-granulation interval-set rough sets were introduced.Related properties of them were discussed.Furthermore,the relationships among several interval-set rough sets constructed in different single-granular spaces and optimistic multi-granulation interval-set rough sets in a multi-granular space were established.

关 键 词：区间集 区间集粗糙集 乐观多粒度粗糙集 乐观多粒度区间集粗糙集 

分 类 号：TP18[自动化与计算机技术—控制理论与控制工程]