Onα-Layer Ideal Topologies

Abstract

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