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BASES AND CIRCUITS OF FUZZIFYING MATROIDS | ||
| Iranian Journal of Fuzzy Systems | ||
| مقاله 4، دوره 15، شماره 2، خرداد و تیر 2018، صفحه 41-52 اصل مقاله (359.3 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22111/ijfs.2018.3755 | ||
| نویسندگان | ||
Shao-Jun Yang1؛ Fu-Gui Shi  2
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| 1The Fujian Provincial Key Laboratory of Network Security and Cryptology, School of Mathematics and Computer Science, Fujian Normal University, Fuzhou 350007, P.R. China | ||
| 2School of Mathematics and Statistics, Beijing Institute of Technology, Beijing 102488, P.R. China; Beijing Key Laboratory on MCAACI, Beijing Institute of Technology, Beijing 102488, P.R. China | ||
| چکیده | ||
| In this paper, as an application of fuzzy matroids, the fuzzifying greedy algorithm is proposed and an achievable example is given. Basis axioms and circuit axioms of fuzzifying matroids, which are the semantic extension for the basis axioms and circuit axioms of crisp matroids respectively, are presented. It is proved that a fuzzifying matroid is equivalent to a mapping which satisfies the basis axioms or circuit axioms. | ||
| کلیدواژه‌ها | ||
| Fuzzifying matroid؛ Fuzzifying base-map؛ Fuzzifying basis axiom؛ Fuzzifying circuit-map؛ Fuzzifying circuit axiom | ||
| مراجع | ||
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