The lower and upper approximations in a quotient hypermodule with respect to fuzzy sets

被引：43
作者：
Kazanci, Osman [1 ]
Yamak, Sultan [1 ]
Davvaz, B. [2 ]
机构：
[1] Karadeniz Tech Univ, Dept Math, TR-61080 Trabzon, Turkey
[2] Yazd Univ, Dept Math, Yazd, Iran
来源：
INFORMATION SCIENCES | 2008年 / 178卷 / 10期
关键词：
hypermodule; lower approximation; upper approximation; rough set; fuzzy set;
D O I：
10.1016/j.ins.2008.01.006
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 provides a continuation of ideas presented by Davvaz and Mahdavipour [B. Davvaz, M. Mahdavipour, Roughness in modules, Inform. Sci. 176 (2006) 3658-3674]. The notion of hypermodule is a generalization of the notion of module. In this paper, we consider the quotient hypermodule M/A and interpret the lower and upper approximations as subsets of the quotient hypermodule M/A. Then, we introduce the concept of quotient rough sub-hypermodule. Also, using the concept of fuzzy sets, we introduce and discuss the concept of fuzzy rough hypermodules and then we obtain the relation between fuzzy rough sub-hypermodules and level rough sets. This relation is characterized as a necessary and sufficient condition. (C) 2008 Elsevier Inc. All rights reserved.
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收藏
页码：2349 / 2359
页数：11
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