Affiliations: [a] The Fujian Provincial Key Laboratory of Network Security and Cryptology, College of Mathematics and Informatics, Fujian Normal University, Fuzhou, P.R. China | [b] School of Mathematics and Statistics, Beijing Institute of Technology, Beijing, P.R. China | [c] Beijing Key Laboratory on MCAACI, Beijing Institute of Technology, Beijing, P.R. China
Abstract: In this paper, the notions of independence spaces and matroids as special convexity spaces are generalized to fuzzy setting, which are called M-fuzzifying independence spaces and M-fuzzifying matroids, respectively. Some properties of M-fuzzifying closure operators and M-fuzzifying convex hull operators are discussed. By those properties and the notion of strong M-fuzzifying independence spaces, the relation between M-fuzzifying independence spaces and M-fuzzifying matroids is established.
