Paper Info
Title
The lower and upper approximations in a quotient hypermodule with respect to fuzzy sets
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/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.
Year
DOI
Venue
2008
10.1016/j.ins.2008.01.006
Inf. Sci.
Keywords
DocType
Volume
sufficient condition,quotient hypermodule,upper approximation,level rough set,fuzzy set,fuzzy rough sub-hypermodules,quotient rough sub-hypermodule,m. mahdavipour,b. davvaz,fuzzy rough hypermodules,rough set
Journal
178
Issue
ISSN
Citations 
10
0020-0255
27
PageRank 
References 
Authors
0.90
37
3
Name
Order
Citations
PageRank
Osman Kazancı1813.51
S. Yamak21048.02
B. Davvaz379557.79