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基于覆盖的区间值粗糙模糊集模型 被引量：4

Interval-valued rough-fuzzy sets model based on covering
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摘要 将粗糙集与区间值模糊集相结合便可得到区间值粗糙模糊集.通过将经典粗糙集模型中论域上的等价关系用论域的覆盖来替换,建立了基于覆盖关系的区间值粗糙模糊集模型,并给出了该模型下的一些基本性质. By integrating the classical Pawlak rough sets with the interval-valued fuzzy sets, the intervalvalued rough-fuzzy sets model is made up. By replacing equivalent relation on universe with its cover, the interval-valued rough-fuzzy sets model based on covering is builded, meanwhile, some corresponding properties are given.
作者 史战红 巩增泰
机构地区 西北师范大学数学与信息科学学院
出处 《西北师范大学学报（自然科学版）》 CAS 2008年第1期15-20,共6页 Journal of Northwest Normal University(Natural Science)
基金 甘肃省教育厅科研基金资助项目(0601-20)
关键词 粗糙集 区间值模糊集 覆盖 rough sets interval-valued fuzzy set covering
分类号 O159 [理学—基础数学]
  • 相关文献

参考文献12

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二级参考文献20

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共引文献113

同被引文献22

  • 1朱六兵,王迪焕,杨斌.粗糙Vague集及其相似度量[J].模糊系统与数学,2006,20(3):130-134. 被引量：11
  • 2魏莱,苗夺谦,徐菲菲,夏富春.基于覆盖的粗糙模糊集模型研究[J].计算机研究与发展,2006,43(10):1719-1723. 被引量：31
  • 3Zadeh L A. Outline of a new approach to the analysis of complex systems and decision processes[ J]. IEEE Trans Systems Man Cybemet, 1973,3:28-44.
  • 4Z. Pawlak. Rough Sets~J]. International Journal of Computer and Information Scienees, 1982, ( 11 ) :341 - 356.
  • 5W. Zhu, F. Y. Wang. Reduction and Axiomization of Coveting Generalized Rough Sets [ J ]. Information Sciences, 2003, (152) :217 -230.
  • 6K. Atanassov, G. Gargov. Interval- Valued Intuitionistic Fuzzy Sets[J]. Fuzzy Sets and Systems, 1989, (31) :343 -349.
  • 7曾文艺,王加银,罗忆桐.区间值模糊控制[J].北京师范大学学报（自然科学版）,2007,43(5):501-504. 被引量：2
  • 8Zadeh L A.Fuzzy sets[J].Information and Control,1965,8(3):338-353.
  • 9Pawlak Z.Rough sets[J].International Journal of Computer and Science,1982,11:341-356.
  • 10Wei L L,Zhang W X.Probabilistic rough sets characterized by fuzzy sets[J].International Journal of Uncertainty Fuzziness and Knowledge-Based Systems,2004,13(1):47-60.

引证文献4

二级引证文献9

西北师范大学学报（自然科学版）
2008年 第1期

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