Covering-based rough fuzzy sets and binary relation

被引：3

作者：

Kozae, A. M. ^{[1
]}

El-Sheikh, S. A. ^{[2
]}

Mareay, R. ^{[3
]}

机构：

[1] Tanta Univ, Fac Sci, Dept Math, Tanta 31527, Egypt

[2] Ain Shams Univ, Fac Educ, Dept Math, Cairo, Egypt

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

来源：

JOURNAL OF INTELLIGENT & FUZZY SYSTEMS | 2014年 / 26卷 / 02期

关键词：

Rough set; fuzzy set; data mining; covering; approximation;

D O I：

10.3233/IFS-130795

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 a powerful tool for dealing with uncertainty, granularity, and incompleteness of knowledge in information systems. In this paper we study covering-based rough fuzzy sets in which a fuzzy set can be approximated by the intersection of some elements in a covering of the universe of discourse. Some properties of the covering-based fuzzy lower and upper approximation operators are examined. We present the conditions under which two coverings generate the same covering-based fuzzy lower and upper approximation. We approximate fuzzy sets based on a binary relation and its properties are introduced. Finally, we establish the equivalency between rough fuzzy sets generated by a covering and rough fuzzy sets generated by a binary relation.

引用

页码：1031 / 1038

页数：8

共 29 条

[1]

[Anonymous], 1999, ROUGH FUZZY HYBRIDIZ

[2]

[Anonymous], ROUGH SETS CURRENT T

[3]

Bargiela A., 2002, Granular computing: an introduction

[4] Extensions and intentions in the rough set theory [J].

Bonikowski, Z ;

Bryniarski, E ;

Wybraniec-Skardowska, U .

INFORMATION SCIENCES, 1998, 107 (1-4) :149-167

[5]

Bryniarski E., 1989, Bulletin of the Polish Academy of Sciences, V37, P71

[6] ROUGH FUZZY-SETS AND FUZZY ROUGH SETS [J].

DUBOIS, D ;

PRADE, H .

INTERNATIONAL JOURNAL OF GENERAL SYSTEMS, 1990, 17 (2-3) :191-209

[7]

Dubois D., 1992, INTELLIGENT DECISION, P203, DOI [10.1007/978-94-015-7975-9_14, DOI 10.1007/978-94-015-7975-9_14, 10.1007/978-94-015-7975-9 14, DOI 10.1007/978-94-015-7975-914]

[8]

Feng T, 2006, LECT NOTES ARTIF INT, V4062, P208

[9]

Inuiguchi M, 2004, COG TECH, P277

[10]

Lin TY, 2003, LECT NOTES ARTIF INT, V2639, P16

← 1 2 3 →