Induced \(I(L)\)-fuzzy topological spaces (Q1180249)

The collection of all lower semicontinuous functions from an \(L\)-fuzzy topological space \((X,T)\) to the \(L\)-fuzzy unit interval \(I(L)\) forms an \(I(L)\)-fuzzy topology \(\omega(T)\). The author studies some relationships between \((X,T)\) and \((X,\omega(T))\). Most of the presented results have already been published by the author in [J. Math., Wuhan Univ. 10, No. 3, 277-284 (1990; Zbl 0731.54008)]. Also notice that these ideas were earlier announced in [the reviewer, Math. Jap. 31, 875-887 (1986; Zbl 0616.54004)].