Abstract and concrete categories
Abstract and concrete categories
Fuzzy Sets and Systems
On the compactness of L-fuzzy topological groups
Fuzzy Sets and Systems
On initial and final fuzzy uniform structures
Fuzzy Sets and Systems - Topology
Fuzzy Sets and Systems
On the category of fixed basis frame valued topological groups
Fuzzy Sets and Systems
Completion of L-topological groups
Fuzzy Sets and Systems
Correspondence: A note on the left and right translations in L-topological groups
Fuzzy Sets and Systems
Fuzzy Sets and Systems
Using homogeneous groupings in portfolio management
Expert Systems with Applications: An International Journal
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In this paper a notion of L-topological group, introduced by Ahsanullah in 1984, is studied. Some basic properties related to these L-topological groups are proved. In 1992 Kubiak had generalized the functors @w and @i, defined by Lowen in 1976, for any complete lattice L to the functors @w"L and @i"L. We show here that for this notion of L-topological group @w"L and @i"L are functors. Moreover, to justify this notion of L-topological group, we show in this paper that all initial and final lifts exist uniquely in the concrete category L-TopGrp of L-topological groups and hence all initial and final L-topological groups exist and can be characterized. As consequences the L-topological subgroups, L-topological product groups, and L-topological quotient groups are exist. Some examples of L-topological groups are given.