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Article type: Research Article
Authors: Fan, Chao-Zan; * | Shi, Fu-Gui
Affiliations: Beijing Key Laboratory on MCAACI, School of Mathematics and Statistics, Beijing Institute of Technology, Beijing, P.R. China
Correspondence: [*] Corresponding author. Chao-Zan Fan, Beijing Key Laboratory on MCAACI, School of Mathematics and Statistics, Beijing Institute of Technology, Beijing 100081, P.R. China. E-mail: [email protected].
Note: [1] The project is supported by the National Natural Science Foundation of China (11871097)
Abstract: In this paper, we give a new characterization of M-fuzzifying span mappings defined by M-fuzzifying rank functions. Then we research the relations between M-fuzzifying span mappings and other M-fuzzifying mappings on M-fuzzifying matroid, and characterize the M-fuzzifying coindependent, nonspan and hyperplane mappings. Based on these characterizations, we put forward one class of special fuzzifying matroids.
Keywords: M-fuzzifying matroids, M-fuzzifying rank function, M-fuzzifying span mapping, fuzzifying dual matroids
DOI: 10.3233/JIFS-190280
Journal: Journal of Intelligent & Fuzzy Systems, vol. 37, no. 3, pp. 4157-4169, 2019
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