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CHARACTERIZATION OF L-FUZZIFYING MATROIDS BY L-FUZZIFYING CLOSURE OPERATORS | ||
| Iranian Journal of Fuzzy Systems | ||
| مقاله 5، دوره 7، شماره 1، اردیبهشت 2010، صفحه 58-47 اصل مقاله (205.69 K) | ||
| شناسه دیجیتال (DOI): 10.22111/ijfs.2010.160 | ||
| نویسندگان | ||
| Lan Wang* 1؛ Fu-Gui Shi2 | ||
| 1Department of Mathematics, Beijing Institute of Technology, Beijing 100081, P.R.China; Department of Mathematics, Mudanjiang Teachers college, Heilongjiang 157012, P.R.China | ||
| 2Department of Mathematics, Beijing Institute of Technology, Beijing, 100081, P. R. China | ||
| چکیده | ||
| An L-fuzzifying matroid is a pair (E, I), where I is a map from 2E to L satisfying three axioms. In this paper, the notion of closure operators in matroid theory is generalized to an L-fuzzy setting and called L-fuzzifying closure operators. It is proved that there exists a one-to-one correspondence between L-fuzzifying matroids and their L-fuzzifying closure operators. | ||
| کلیدواژهها | ||
| L-fuzzifying matroid؛ L-fuzzifying rank function؛ L-fuzzifying closure operator | ||
| مراجع | ||
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