Construction of rough approximations in fuzzy setting

被引：50

作者：

Chen, Xueyou ^{[1
]}

Li, Qingguo

机构：

[1] Shandong Univ Technol, Sch Math & Informat Sci, Shandong 255049, Peoples R China

[2] Hunan Univ, Sch Math & Econ, Changsha 410012, Hunan, Peoples R China

来源：

FUZZY SETS AND SYSTEMS | 2007年 / 158卷 / 23期

基金：

中国国家自然科学基金;

关键词：

rough set; L-set; rough approximation operator;

D O I：

10.1016/j.fss.2007.05.016

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

In this paper, two L-rough approximation operators are defined by an arbitrary mapping from the set of all singletons to the set of all L-sets, which is a graded extension of Jarvinen's method. It also provides a convenient method to compute rough sets in fuzzy setting. Then the algebraic structure of rough sets and the relation to L-topology are investigated. In the end, three special cases are discussed: phi is extensive, symmetric, and intensive. (C) 2007 Elsevier B.V All rights reserved.

引用

页码：2641 / 2653

页数：13

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