Title
A solution to an open problem on the T-product of TL-fuzzy subgroups
Abstract
Many studies have investigated necessary and sufficient conditions whereby fuzzy subgroups of a Cartesian product of groups are a Cartesian product of fuzzy subgroups. Chon [Fuzzy subgroups as products, Fuzzy Sets and Systems 141 (2004) 505-508] found such conditions under minimum operation. He pointed out that the problem of finding necessary and sufficient conditions for T-fuzzy subgroups under a t-norm operation is still open. In this study, we solve the problem and identify necessary and sufficient conditions under t-norm operation.
Year
DOI
Venue
2011
10.1016/j.fss.2011.04.009
Fuzzy Sets and Systems
Keywords
Field
DocType
sufficient condition,fuzzy sets,cartesian product,open problem,t-fuzzy subgroup,fuzzy subgroup,t-norm operation,tl-fuzzy subgroup,minimum operation,tl -fuzzy subgroup,t -product,fuzzy set
Discrete mathematics,Information processing,Open problem,Cartesian product,Fuzzy logic,Fuzzy set,Fuzzy control system,Mathematics
Journal
Volume
Issue
ISSN
178
1
Fuzzy Sets and Systems
Citations 
PageRank 
References 
1
0.38
1
Authors
3
Name
Order
Citations
PageRank
S. Yamak11048.02
O. Kazancı2505.37
D. Bayrak310.72