| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 395213 | Information Sciences | 2008 | 11 Pages |
Abstract
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/AM/A and interpret the lower and upper approximations as subsets of the quotient hypermodule M/AM/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.
Related Topics
Physical Sciences and Engineering
Computer Science
Artificial Intelligence
Authors
Osman Kazancı, Sultan Yamak, B. Davvaz,