On α-Layer Ideal Topologies

Abstract EN

The purpose of this paper is to study theory of two different kinds of α-layer order-preserving operator space, namely, ωα-opos and ωα*(ℑ)-opos.

The former kind of space is formed by α-layer function in L-fuzzy order-preserving operator space.

The later kind of space is derived by local α-remote neighborhood function, which is related with ωα-opos and α-ideal.

We study characteristic properties of the two kinds of spaces, respectively, and give some applications to show the intimate relations under two different ωα*(ℑ)-oposs.