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闭正则模糊拟阵基的若干性质 被引量:3

On Properties of Closed Regular Fuzzy Matroids
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摘要 研究了基本截片模糊拟阵与闭正则模糊拟阵的基交换性质,得到了基交换性质的若干刻画.研究了闭正则模糊拟阵的基公理并得到其等价刻画,给出了闭正则模糊拟阵与其截拟阵之间的关系. The base exchange axioms of elementary section fuzzy matroids and closed regular fuzzy matroids have been introduced ,some properties of elementary fuzzy matroid and closed regular fuzzy matroid stud-ied ,characteristic theorems of base axioms of elementary fuzzy matroids and closed regular fuzzy matroids presented ,and the relation of closed regular fuzzy matroid and their cut matroid given .
出处 《西南师范大学学报(自然科学版)》 CAS CSCD 北大核心 2014年第8期5-9,共5页 Journal of Southwest China Normal University(Natural Science Edition)
基金 陕西省自然科学基础研究计划项目(2014JM1026) 渭南师范学院科研基金项目(13YKS005)
关键词 模糊拟阵 闭正则模糊拟阵 截拟阵 fuzzy matroid closed regular fuzzy matroid cut matroid
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参考文献8

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  • 2GOETSCHEL R, VOXMAN W. Base of Fuzzy Matroids [J]. Fuzzy Sets and Systems. 1989, 31: 253-261.
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二级参考文献24

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共引文献9

同被引文献19

  • 1吴德垠.闭正规模糊拟阵的模糊基集特征[J].重庆大学学报(自然科学版),1996,19(2):30-35. 被引量:11
  • 2吴德垠.准模糊图拟阵[J].重庆大学学报(自然科学版),1996,19(5):100-109. 被引量:13
  • 3李永红,张忠,刘志花.闭正规模糊拟阵的基本序列[J].重庆大学学报(自然科学版),2007,30(2):139-141. 被引量:3
  • 4WELSH D. Matroid Theory EM~. London.. Academic Press, 1976.
  • 5OXLEY J. Matroid Theory [-M~. New York~ Oxford University Press, 1992.
  • 6GOETSCHEL R, VOXMAN W. Fuzzy Matroids EJ~. Fuzzy Sets and Systems, 1988, 27: 291-302.
  • 7GOETSCHEL R, VOXMAN W. Base of Fuzzy Matroids ~J~. Fuzzy Sets and Systems, 1989, 31.. 253-261.
  • 8GOETSCHEL R, VOXMAN W. Fuzzy Circuits EJ~. Fuzzy Sets and Systems, 1989, 32: 35-43.
  • 9GOETSCHEL R, VOXMAN W. Fuzzy Matroid Structures EJ~. Fuzzy Sets and Systems, 1991, 41: 343-357.
  • 10SHI Fu-gui. A New Approach to the Fuzzifization of Matroids rJ~. Fuzzy Sets and Systems, 2009, 160:696-705.

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