Abstract:<div class="page" title="Page 1"><div class="layoutArea"><div class="column"><p><span>Textures are point-set setting for fuzzy sets, and they provide a framework for the complement-free mathematical concepts. Further dimetric on textures is a gener- alization of classical metric spaces. The aim of this paper is to give some properties of dimetric texture space by using categorical approach. We prove that the category of clas- sical metric spaces is isomorphic to a full subcategory… Show more
The purpose of this paper is to introduce and study weak structure on texture spaces. In this context, the notion of weak semi-open sets and weak bicontinuity are defined in weak distructure texture spaces, and is presented some characterization.
The purpose of this paper is to introduce and study weak structure on texture spaces. In this context, the notion of weak semi-open sets and weak bicontinuity are defined in weak distructure texture spaces, and is presented some characterization.
The aim of this paper is introduce and study the notion of weak preopen sets and weak prebicontinuity on weak structures in texture spaces. It is presented some characterizations of weak prebicontinuity, and a link is given between weak spaces and weak structure on discrete texture spaces.
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