Affiliations: [a] School of Mathematics and Statistics, Beijing Institute of Technology, Beijing, P.R. China | [b] School of Mathematics and Statistics, Henan University of Science and Technology, Luoyang, P.R. China
Correspondence:
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Corresponding author. Erqiang Li, School of Mathematics and Statistics, Beijing Institute of Technology, Beijing 100081, P.R. China. Tel.: +86 15652999499; E-mail: lierqiangzzu@163.com.
Note: [1] The project is supported by the National Natural Science Foundation of China (11371002) and Specialized Research Fund for the Doctoral Program of Higher Education (20131101110048)
Abstract: In this paper, motivated by the free product of crisp matroids, the free product of M-fuzzifying matroids is defined when M is a finite Boolean algebra and a number of fundamental properties of the operation are derived. Parallel to crisp matroids, the minors of M-fuzzifying matroids are described in terms of the M-fuzzifying truncation operator and its dual, the M-fuzzifying Higgs lift operator.
