Computer Science ›› 2014, Vol. 41 ›› Issue (11): 252-255.doi: 10.11896/j.issn.1002-137X.2014.11.048

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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

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

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