摘要
The aim of this paper is to study the categorical relations between matroids, Goetschel-Voxman's fuzzy matroids and Shi's fuzzifying matroids. It is shown that the category of fuzzifying matroids is isomorphic to that of closed fuzzy matroids and the latter is concretely coreflective in the category of fuzzy matroids. The category of matroids can be embedded in that of fuzzifying matroids as a simultaneously concretely reflective and coreflective subcategory.
- 出版日期2010-2
- 单位西安工程大学; 石家庄学院