计算机科学 ›› 2014, Vol. 41 ›› Issue (11): 252-255.doi: 10.11896/j.issn.1002-137X.2014.11.048

• 人工智能 • 上一篇    下一篇

覆盖粗糙模糊集的不确定性研究

郑婷婷,朱凌云   

  1. 安徽大学数学科学学院 合肥230601;安徽大学数学科学学院 合肥230601
  • 出版日期:2018-11-14 发布日期:2018-11-14
  • 基金资助:
    本文受国家自然科学基金青年科学基金(61203290),安徽省高校省级优秀青年人才基金重点项目(2013SQRL005ZD)资助

Uncertainty Measure Research on Rough Fuzzy Sets in Covering Approximation Space

ZHENG Ting-ting and ZHU Ling-yun   

  • Online:2018-11-14 Published:2018-11-14

摘要: 不确定性度量是粗糙集理论中的基础问题之一。粗糙模糊集的不确定性一方面来自上、下近似集间差异产生的粗糙性,另一方面来自概念外延不清晰产生的模糊性。目前对于粗糙模糊集的不确定性研究仍不够透彻。针对覆盖近似空间下的粗糙模糊集不确定性,提出更加严格的度量修正准则,并借助上、下近似集隶属度与原模糊集隶属度之间的差异,给出修正粗糙度的概念。算例分析表明该方法能够更加准确地刻画实际问题。

关键词: 覆盖近似空间,粗糙模糊集,粗糙度,粗糙熵,不确定性

Abstract: Uncertainty measure is one of the basic problems of rough sets theory.The uncertainty of rough fuzzy sets is caused by both the roughness of the difference of the upper and lower approximate sets and the fuzziness of the uncertain concept extension.Now the uncertainty research on rough fuzzy sets is not yet well understood.This paper discussed the uncertainty of rough fuzzy sets in covering approximation space,proposed the more strict revised measurement criterion,and brought out the revised roughness by the membership difference among the original fuzzy sets,the upper and lower approximation sets.Example analysis shows the measurement approach can describe the actual problems more accurately.

Key words: Covering approximation space,Rough fuzzy sets,Roughness,Rough entropy,Uncertainty

[1] 王国胤,张清华,马希骜,等.知识不确定性问题的粒计算模型[J].软件学报,2011,22(4):676-694
[2] Pawlak Z.Rough sets:theoretical aspects of reasoning about data[M].Dordrecht:Kluwer Academic Publishers,1991
[3] Zadeh L A.Fuzzy sets[J].Information and Control,1965,8:338-353
[4] 胡军.覆盖近似空间中粗糙集的不确定性度量研究[J].计算机应用与软件,2011,8(11):180-183
[5] Dubios D,Prade H.Rough fuzzy sets and fuzzy rough sets[J].International Journal of General Systems,1990,17(2):191-209
[6] 王丽娟,吴陈,杨习贝,等.邻域系统粗糙集和覆盖粗糙集[J].计算机科学,2013,40(1):221-224
[7] 徐菲菲,苗夺谦,李道国,等.基于覆盖的粗糙模糊集的粗糙熵[J].计算机科学,2006,33(10):179-181
[8] 黄兵,何新,周献中.基于广义粗集覆盖约简的粗糙熵[J].软件学报,2004,15(2):215-220
[9] 余美真,李进金.覆盖粗糙模糊集的不确定性度量[J].模糊系统与数学,2009,23(6):145-148
[10] 郭增晓,米据生.粗糙模糊集的模糊性度量[J].模糊系统与数学,2005,19(4):135-140
[11] Bonikowski Z,Bryniarski E,Wybraniec U.Extensions and intentions in the rough set theory[J].Information Sciences,1998,107(1-4):149-167
[12] Zhu W,Wang F Y.Reduction and axiomization of covering generalized rough sets[J].Information Sciences,2003,152:217-230
[13] 魏莱,苗夺谦,徐菲菲,等.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
[14] 徐忠印,廖家奇.基于覆盖的模糊粗糙集模型[J].模糊系统与数学,2006,20(3):141-144
[15] 胡军,王国胤,张清华.一种覆盖粗糙模糊集模型[J].软件学报,2010,21(5):968-977
[16] 胡军,王国胤.覆盖粒度空间的层次模型[J].南京大学学报:自然科学版,2008,44(5):551-558
[17] 胡军,王国胤.粗糙集的不确定性度量准则[J].模式识别与人工智能,2010,23(5):606-615

No related articles found!
Viewed
Full text


Abstract

Cited

  Shared   
  Discussed   
No Suggested Reading articles found!