Note for Hypersoft Filter and Fuzzy Hypersoft Filter

Abstract

In set theory, a filter is a collection of sets that is closed under intersection and includes all supersets of its elements. Within the framework of soft sets mathematical tools developed to handle uncertainty through parameterized subsets-filters and ultrafilters have also been introduced, with further expansions made in fuzzy set theory and Neutrosophic set theory. In this short paper, we introduce the novel concept of a hypersoft filter and provide a brief discussion of its implications.