Abstract | ||
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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. Yamak | 1 | 104 | 8.02 |
O. Kazancı | 2 | 50 | 5.37 |
D. Bayrak | 3 | 1 | 0.72 |