Generalization of inductive topologies to L-topological vector spaces
In this paper, using the theory of L-topological vector spaces, we study some properties of inductive topologies determined by the family of L-fuzzy linear order-homomorphisms defined by Fang Jin-xuan (J. Fuzzy Math. 4(l) (1996) 93), and give a characterization of inductive topologies determined by a single L-fuzzy linear order-homomorphism. As an example, we point out the quotient L-topology of L-tvs is an inductive topology. (C) 2002 Elsevier Science B.V. All rights reserved.
inductive topology l-fuzzy linear order-homomorphism l-tvs fuzzy analysis l-lctvs