The present paper studies fuzzy matroids in view of degree. First we generalize the notion of $(L,M)$-fuzzy independent structure by introducing the degree of $M$-fuzzy family of independent $L$-fuzzy sets with respect to a mapping from $L^X$ to $M$. Such kind of degrees is proved to satisfy some axioms similar to those satisfied by $(L,M)$-fuzzy independent structure. Then we define and study some special degrees (e.g. quotient degrees and isomorphism degrees) with respect to mappings between two $(L,M)$-fuzzy matroid-like spaces in details. Finally we give characterizations of these degrees and investigate relationships between them.
Zhang, S. Y., & Li, S. G. (2020). Degrees of M-fuzzy families of independent L-fuzzy sets. Iranian Journal of Fuzzy Systems, 17(1), 53-64. doi: 10.22111/ijfs.2020.5110
MLA
S. Y. Zhang; S. G. Li. "Degrees of M-fuzzy families of independent L-fuzzy sets". Iranian Journal of Fuzzy Systems, 17, 1, 2020, 53-64. doi: 10.22111/ijfs.2020.5110
HARVARD
Zhang, S. Y., Li, S. G. (2020). 'Degrees of M-fuzzy families of independent L-fuzzy sets', Iranian Journal of Fuzzy Systems, 17(1), pp. 53-64. doi: 10.22111/ijfs.2020.5110
VANCOUVER
Zhang, S. Y., Li, S. G. Degrees of M-fuzzy families of independent L-fuzzy sets. Iranian Journal of Fuzzy Systems, 2020; 17(1): 53-64. doi: 10.22111/ijfs.2020.5110
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