Journal of Jilin University Science Edition ›› 2020, Vol. 58 ›› Issue (2): 239-250.
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WU Deyin, YANG Gaojin
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Abstract: Using the method similar to the circuit axioms of matroids, we discussed fuzzy circuit axioms of closed GV fuzzy matroids. Firstly, we gave some properties of fuzzy circuits of G-V fuzzy matroids. Secondly, using these properties, we discussed how to use elementary fuzzy circuit sets to determine G-V fuzzy matroids. Finally, we proposed and proved a fuzzy circuit axiom of closed G-V fuzzy matroids. According to this axiom, a collection of elementary fuzzy sets, a finite number sequence and a mapping of fuzzy sets could uniquely determine a closed G-V fuzzy matroid under certain conditions.
Key words: matroid, circuit axiom, fuzzy matroid, circuit function, circuit interval, generalized circuit function, circuit range, fuzzy circuit axiom
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WU Deyin, YANG Gaojin. Fuzzy Circuit Axioms of Closed G-V Fuzzy Matroids[J].Journal of Jilin University Science Edition, 2020, 58(2): 239-250.
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http://xuebao.jlu.edu.cn/lxb/EN/Y2020/V58/I2/239
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