%0 Journal Article
%T Degrees of M-fuzzy families of independent L-fuzzy sets
%J Iranian Journal of Fuzzy Systems
%I University of Sistan and Baluchestan
%Z 1735-0654
%A Zhang, S. Y.
%A Li, S. G.
%D 2020
%\ 02/01/2020
%V 17
%N 1
%P 53-64
%! Degrees of M-fuzzy families of independent L-fuzzy sets
%K Degree of $M$-fuzzy family of independent $L$-fuzzy sets
%K $M$-fuzzy family of independent $L$-fuzzy sets
%K $(L
%K M)$-fuzzy matroid
%R 10.22111/ijfs.2020.5110
%X The present paper studies fuzzy matroids in view of degree. First wegeneralize the notion of $(L,M)$-fuzzy independent structure byintroducing the degree of $M$-fuzzy family of independent $L$-fuzzysets with respect to a mapping from $L^X$ to $M$. Such kind ofdegrees is proved to satisfy some axioms similar to those satisfiedby $(L,M)$-fuzzy independent structure. Then we define and studysome special degrees (e.g. quotient degrees and isomorphism degrees)with respect to mappings between two $(L,M)$-fuzzy matroid-likespaces in details. Finally we give characterizations of thesedegrees and investigate relationships between them.
%U https://ijfs.usb.ac.ir/article_5110_2fec6c357594b46207d0d0444db616b1.pdf