期刊
INFORMATION SCIENCES
卷 292, 期 -, 页码 214-229出版社
ELSEVIER SCIENCE INC
DOI: 10.1016/j.ins.2014.09.007
关键词
Rough approximation pair; Binary relation; Covering; Fuzzy rough set; Rough fuzzy set
资金
- National Natural Science Foundation of China [61175044, 61473259]
- Science and Technology Program of Shanghai Maritime University
Algebraic structures and lattice structures of rough sets are basic and important topics in rough sets theory. In this paper we pointed out that a basic problem had been overlooked, that is the closeness of union and intersection operations of rough approximation pairs, i.e. (lower approximation, upper approximation). We present that the union and intersection operations of rough approximation pairs are closed for classical rough sets and two kinds of covering based rough sets, but not for twenty kinds of covering based rough sets and the generalized rough sets based on fuzzy approximation space. Moreover, we proved that the union and intersection operations of rough fuzzy approximation pairs are closed and a bounded distributive lattice can be constructed. (C) 2014 Elsevier Inc. All rights reserved.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据