Rough and rough fuzzy sets on two universes via covering approach

被引：1

作者：

Mareay, R. ^{[1
]}

机构：

[1] Kafrelsheikh Univ, Fac Sci, Dept Math, Kafr Al Sheikh 33516, Egypt

来源：

JOURNAL OF INTELLIGENT & FUZZY SYSTEMS | 2016年 / 30卷 / 02期

关键词：

Rough sets; covering; approximation space; strong covering; rough fuzzy sets; MODEL; OPERATORS;

D O I：

10.3233/IFS-151837

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

Rough set theory is an important non-numeric method for dealing with uncertainty and data mining. In this paper, we study rough sets and rough fuzzy sets on two universes via covering models. We introduce a new definition for the lower and upper approximation by taking a covering of the second universe of discourse. Some properties of the new model are revealed. We believe that this model will be more realistic in the sense that rough sets (resp. rough fuzzy sets) are approximated by sets (resp. fuzzy sets) on the same universe. Moreover, some results, examples and counter examples are provided.

引用

页码：1139 / 1146

页数：8

共 50 条

[31] A New Method of Attribute Reduction of Covering Rough Sets [J].

Yang, Tian ;

Li, Qingguo ;

Zhou, Bilei .

2012 IEEE INTERNATIONAL CONFERENCE ON GRANULAR COMPUTING (GRC 2012), 2012, :596-600

[32] Operation Properties and Algebraic Application of Covering Rough Sets [J].

Kong, Qingzhao ;

Xu, Weihua .

FUNDAMENTA INFORMATICAE, 2018, 160 (04) :385-408

[33] Covering-based rough fuzzy sets and binary relation [J].

Kozae, A. M. ;

El-Sheikh, S. A. ;

Mareay, R. .

JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2014, 26 (02) :1031-1038

[34] Multi-granulation covering rough intuitionistic fuzzy sets [J].

Xue Zhan-Ao ;

Si Xiao-Meng ;

Xue Tian-Yu ;

Xin Xian-Wei ;

Yuan Yi-lin .

JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2017, 32 (01) :899-911

[35] On some types of fuzzy covering-based rough sets [J].

Yang, Bin ;

Hu, Bao Qing .

FUZZY SETS AND SYSTEMS, 2017, 312 :36-65

[36] Axiomatic systems for rough sets and fuzzy rough sets [J].

Liu, Guilong .

INTERNATIONAL JOURNAL OF APPROXIMATE REASONING, 2008, 48 (03) :857-867

[37] Two Types of Intuitionistic Fuzzy Covering Rough Sets and an Application to Multiple Criteria Group Decision Making [J].

Wang, Jingqian ;

Zhang, Xiaohong .

SYMMETRY-BASEL, 2018, 10 (10)

[38] Covering rough sets based on neighborhoods: An approach without using neighborhoods [J].

Zhu, Ping .

INTERNATIONAL JOURNAL OF APPROXIMATE REASONING, 2011, 52 (03) :461-472

[39] Rough approximation operators on two universes of discourse and their fuzzy extensions [J].

Li, Tong-Jun .

FUZZY SETS AND SYSTEMS, 2008, 159 (22) :3033-3050

[40] Relationships between covering-based rough sets and relation-based rough sets [J].

Zhang, Yan-Lan ;

Luo, Mao-Kang .

INFORMATION SCIENCES, 2013, 225 :55-71

← 1 2 3 4 5 →