In this paper, the notion of generalized regular fuzzy irresolute, generalized regular fuzzy irresolute open  and generalized regular fuzzy irresolute closed maps in fuzzy  topological spaces are introduced and studied. Moreover, some separation axioms and $r$-GRF-separated sets are established. Also, the relations between generalized regular fuzzy continuous maps and generalized regular fuzzy ...

We present a topological characterization for fuzzy regular languages: we show that there is a bijective correspondence between fuzzy regular languages and the set of all clopen fuzzy subsets with finite image in the induced fuzzy topological space of Stone space (Profinite space), and then we give a representation of closed fuzzy subsets in the induced fuzzy topological space via fuzzy regular...

We describe an algorithm for classifying the closed subsets of a root system, up to conjugation by associated Weyl group. Our is implemented in language computer algebra system GAP 4. discuss implementation and give runtimes on some sample inputs. The classification irreducible closely related regular subalgebras, inner automorphism, corresponding simple Lie algebra. show how obtain subalgebras...