CATEGORICAL RELATIONS AMONG MATROIDS, FUZZY MATROIDS AND FUZZIFYING MATROIDS
نویسندگان
1 School of Mathematics and Science, Shijiazhuang University of Technology, Shijiazhuang 050031, P.R. China
2 School of Science, Xi’an Polytechnic University, Xi’an 710048, P.R. China
doi
10.22111/ijfs.2010.163چکیده
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.
