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Degrees of M-fuzzy families of independent L-fuzzy sets | ||
Iranian Journal of Fuzzy Systems | ||
مقاله 5، دوره 17، شماره 1، فروردین و اردیبهشت 2020، صفحه 53-64 اصل مقاله (175.2 K) | ||
نوع مقاله: Research Paper | ||
شناسه دیجیتال (DOI): 10.22111/ijfs.2020.5110 | ||
نویسندگان | ||
S. Y. Zhang* ؛ S. G. Li | ||
School of Mathematics and Information Science, ShaanXi Normal university, 710119 ShaanXi, P.R. China | ||
چکیده | ||
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. | ||
کلیدواژهها | ||
Degree of $M$-fuzzy family of independent $L$-fuzzy sets؛ $M$-fuzzy family of independent $L$-fuzzy sets؛ $(L؛ M)$-fuzzy matroid | ||
آمار تعداد مشاهده مقاله: 256 تعداد دریافت فایل اصل مقاله: 272 |