Type-2 fuzzy rough sets based on extended t-norms

被引：21
作者：
Wang, Chun Yong [1 ]
机构：
[1] Shandong Normal Univ, Sch Math Sci, Jinan 250014, Peoples R China
来源：
INFORMATION SCIENCES | 2015年 / 305卷
关键词：
Extended t-(co) norms; Type-2 fuzzy sets; Type-2 fuzzy relations; Type-2 fuzzy rough sets; Interval-valued type-2 fuzzy rough sets; ALGORITHM; SPACES;
D O I：
10.1016/j.ins.2015.01.024
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
This paper is devoted to investigate type-2 fuzzy rough sets based on extended t-norms with respect to type-2 fuzzy relations with convex normal fuzzy truth values. Type-2 fuzzy rough sets are proposed on two finite universes of discourse and characterized from both constructive and axiomatic approaches. In the constructive approach, different classes of type-2 fuzzy rough sets are investigated. An approximate algorithm of type-2 fuzzy rough sets based on a-cut sets is given with numerical examples. In the axiomatic approach, the axiomatic characterizations of type-2 fuzzy rough approximation operators are studied. Moreover, the topological properties of type-2 fuzzy rough sets are discussed. In the end, this paper introduces interval-valued type-2 fuzzy rough sets and discusses their properties. (C) 2015 Elsevier Inc. All rights reserved.
引用
收藏
页码：165 / 183
页数：19
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