Ling-Xia Lu - School of Mathematics and Science, Shijiazhuang University of Technology, Shijiazhuang ۰۵۰۰۳۱, P.R. China
Wei-Wei Zheng - School of Science, Xi’an Polytechnic University, Xi’an ۷۱۰۰۴۸, P.R. China

The aim of this paper is to study the categorical relations betweenmatroids, Goetschel-Voxman’s fuzzy matroids and Shi’s fuzzifying matroids.It is shown that the category of fuzzifying matroids is isomorphic to that ofclosed fuzzy matroids and the latter is concretely coreflective in the categoryof fuzzy matroids. The category of matroids can be embedded in that offuzzifying matroids as a simultaneously concretely reflective and coreflectivesubcategory.

Matroid, Fuzzy matroid, Closed fuzzy matroid, Fuzzifying matroid. This paper is supported by the national natural science foundation of china(۱۰۹۲۶۰۵۵)