I-拓扑线性空间的归纳拓扑

Inductive Topologies of I-Topological Vector Spaces

引进了I-拓扑线性空间归纳拓扑的新概念,并指出当L=[0,1]时,文献[4,5]意义下的归纳拓扑都是新定义的归纳拓扑的特例,得到了由单个模糊线性序同态所确定的归纳拓扑借助于θλ的重域基的刻画.

In this paper, a new definition of inductive topolgies of I- topological vector spaces is introduced and we reveal that inductive topologies in the senses of Yan [ 5 ] and Wu, Duan [4 ] is a special case of the new inductive topologies, when L = [0,1]. We obtain a characterization of inductive topologies determined by a single fuzzy linear order-homomorphism.