CHARACTERIZATION OF L-FUZZIFYING MATROIDS BY L-FUZZIFYING CLOSURE OPERATORS

Abstract

An L-fuzzifying matroid is a pair (E, I), where I is a map from<br />2E to L satisfying three axioms. In this paper, the notion of closure operators<br />in matroid theory is generalized to an L-fuzzy setting and called L-fuzzifying<br />closure operators. It is proved that there exists a one-to-one correspondence<br />between L-fuzzifying matroids and their L-fuzzifying closure operators.