引用本文: 吴德垠, 杨高进.闭模糊拟阵圈函数和圈区间的推广[J].西南大学学报（自然科学版）,2020,42(2):36~40
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 本文已被：浏览 43次   下载 40次 码上扫一扫！ 分享到： 微信 更多 字体:加大+|默认|缩小- 闭模糊拟阵圈函数和圈区间的推广 吴德垠, 杨高进 重庆大学 数学与统计学院, 重庆 401331

DOI：10.13718/j.cnki.xdzk.2020.02.006

Generalizations of Circuit Functions and Circuit Intervals in Closed Fuzzy Matroids
WU De-yin, YANG Gao-jin
School of Mathematics and Statistics, Chongqing University, Chongqing 401331, China
Abstract:
The concepts of circuit functions and circuit intervals for closed fuzzy matroids are generalized by transforming fuzzy matroids into induced matroids in this paper, and the properties of the generalized circuit functions and circuit intervals are studied in detail. First, the properties of the fuzzy circuit and the induced matroid circuit and the relationship between the two in closed fuzzy matroids are analyzed. Then, with the help of these properties and relationships, the terms of generalized circuit function and circuit range are defined. The study of the properties of generalized circuit functions and circuit ranges shows that generalized circuit functions and circuit ranges are the generalization of the original circuit functions and circuit intervals. Finally, using the generalized circuit functions, this paper gives the sufficient and necessary conditions for quasi-fuzzy graph matroids and refined fuzzy matroids.
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