Bornological Spaces in the Context of Fuzzy Soft Sets

Abstract

The aim of this study is to present the concept of a lattice valued fuzzy soft bornology as a parameterized extension of the $LM$-valued bornology. By this way, we describe the notions of boundedness and the parameterized degree of boundedness for fuzzy soft sets. We examine several fundamental properties of the proposed structures. In addition we induce a lattice valued fuzzy soft bornology in a lattice valued fuzzy soft topological space with the help of the measures of compactness of a soft set.