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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 | ||
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آمار تعداد مشاهده مقاله: 253 تعداد دریافت فایل اصل مقاله: 267 |
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