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直觉模糊粗糙集的公理化 被引量：6

Axiomatization of intuitionistic fuzzy rough sets
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摘要 直觉模糊粗糙集的公理系统是直觉模糊粗糙集理论与应用的基础,文章定义了直觉模糊集的2种运算,基于这些运算和直觉模糊粗糙集公理化模型,给出直觉模糊粗糙集新的公理系统;该系统用一条简洁的公理描述了直觉模糊粗糙集,为直觉模糊粗糙集理论研究的深入和完善提供了有益的帮助。 The axiomatic system of intuitionistic fuzzy rough sets is the foundation of the intuitionistic fuzzy rough set theory and its application. Two operations of intuitionistic fuzzy sets are defined in this paper, and a new axiomatic system of intuitionistic fuzzy rough sets is proposed based on the operations and the axiomatization model. The new system describes the intuitionistic fuzzy rough sets through a simple axiom which is helpful to further study of the theory in this respect.
作者 杨勇 朱晓钟 李廉
机构地区 西北师范大学数学与信息科学学院 合肥工业大学计算机与信息学院
出处 《合肥工业大学学报（自然科学版）》 CAS CSCD 北大核心 2010年第4期590-592,共3页 Journal of Hefei University of Technology：Natural Science
基金 国家自然科学基金资助项目(10771171) 兰州市科技计划资助项目(2008-1-34)
关键词 粗糙集 直觉模糊粗糙集 公理化 rough set intuitionistic fuzzy rough set axiom
分类号 TP18 [自动化与计算机技术—控制理论与控制工程]
  • 相关文献

参考文献12

  • 1Pawlak Z, Grzymala-Bausse J, Slowinski R, et al. Rough sets [J]. Communications of the ACM, 1995,38(11) : 89- 95.
  • 2Pawlak Z. Rough sets:theoretical aspects of reasoning about data[M]. Dordrecht: Kluwer Academic Publishers, 1991: 32-56.
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  • 9祝峰,何华灿.粗集的公理化[J].计算机学报,2000,23(3):330-333. 被引量：51
  • 10孙辉,刘大有,李文.粗集公理组的极小化[J].计算机学报,2002,25(2):202-209. 被引量：14

二级参考文献15

  • 1Pawlak Z,Grzymala-BausseJ,Slowinski R,et al.Rough sets[J].Communications of the ACM,1995,38(11):89-95
  • 2Pawlak Z.Rough sets:Theoretical aspects of reasoning about data[M].Dordrecht:Kluwer Academic Publishers,1991
  • 3Lin T Y,Liu Q.Rough approximate operators:Axiomatic rough set tbeory[J]//Ziarko W P,ed.Rough Sets,Fuzzy Sets and Knowledge Discovery.London:Springer-verlag,1994:256-260
  • 4Zakomski W.Approximations in the space (U,Ⅱ)[J].Demon stration Math.,1983,16:761-769
  • 5Zhu W,Wang F Y.Reduction and axiomization of covering generalized rough sets[J].Information Sciences,2003,152:217-230
  • 6Xu W H,Zhang W X.Measuring roughness of generalized rough sets induced by a coveting[J].Fuzzy Sets and Systems,2007,158:2443-2455
  • 7[1]Pawlak Z. Rough Sets: Theoretical Aspects of Reasoning about Data. Dordrecht:Kluwer Acasemic Publishers, 1991. 9-32
  • 8[2]Yao Y Y et al. A review of rough set models. In: Lin T Y et al ed. Rough Setsand Data Mining: Analysis for Imprecise Data. Boston: Kluwer Academic Publishers,1997. 47-75
  • 9[3]Lin T Y, Liu Q. Rough approximate operators: Axiomaticrough set theory. In:Ziarko W P ed. Rough Sets, Fuzzy Sets and Knowledge Discovery. London:Springer-Verlag, 1994. 256-260
  • 10[5]Popkorn S. First Steps in Model Logic. New York: Cambridge University Press,1994. 13-21

共引文献74

同被引文献78

引证文献6

二级引证文献8

合肥工业大学学报（自然科学版）
2010年 第4期

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