Fuzzy rough sets based on residuated lattices

被引：0
|
作者：
Radzikowska, AM
Kerre, EE
机构：
[1] Warsaw Univ Technol, Fac Math & Informat Sci, PL-00661 Warsaw, Poland
[2] Univ Ghent, Dept Math & Comp Sci, B-9000 Ghent, Belgium
来源：
TRANSACTIONS ON ROUGH SETS II: ROUGH SETS AND FUZZY SETS | 2004年 / 3135卷
关键词：
L-fuzzy sets; rough sets; fuzzy relations; fuzzy logical operators; residuated lattices; modal operators; information operators;
D O I：
暂无
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
Rough sets were developed by Pawlak as a formal tool for representing and processing information in data tables. Fuzzy generalizations of rough sets were introduced by Dubois and Prade. In this paper, we consider L-fuzzy rough sets as a further generalization of the notion of rough sets. Specifically, we take a residuated lattice L as a basic structure. L-fuzzy rough sets are defined using the product operator and its residuum provided by the residuated lattice L. Depending on classes of binary fuzzy relations, we define several classes of L-fuzzy rough sets and investigate properties of these classes.
引用
收藏
页码：278 / 296
页数：19
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