On L-fuzzy semitopological semigroups (Q2367760)

The author has introduced the concepts of an \(L\)-fuzzy right topological semigroup, an \(L\)-fuzzy left topological semigroup, an \(L\)-fuzzy topological semigroup, and an \(L\)-fuzzy semitopological semigroup where \(L\) is a Heyting algebra; it has been shown that every semitopological semigroup \((X,T)\) is a fuzzy semitopological semigroup with fuzzy topology \(F\), where \(F = \{u: X\to I/u\) is a lower semicontinuous function\}. Finally, the author has introduced the categories of \(L\)- fuzzy topological semigroups.