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Volumn 240, Issue , 2013, Pages 72-82

Entropy measures and granularity measures for set-valued information systems

Author keywords

Entropy; Granularity; Measure; Set valued information system; Uncertainty

Indexed keywords

GENERALIZED MODELS; GRANULARITY; KNOWLEDGE GRANULARITY; KNOWLEDGE GRANULATION; KNOWLEDGE INFORMATION; MEASURE; SET-VALUED INFORMATION SYSTEMS; UNCERTAINTY;

EID: 84877692843     PISSN: 00200255     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ins.2013.03.045     Document Type: Article
Times cited : (122)

References (61)
  • 1
    • 84155181087 scopus 로고    scopus 로고
    • Multi knowledge based rough approximations and applications
    • H. Abu-Donia Multi knowledge based rough approximations and applications Knowledge-Based Systems 26 2012 20 29
    • (2012) Knowledge-Based Systems , vol.26 , pp. 20-29
    • Abu-Donia, H.1
  • 2
    • 0032137218 scopus 로고    scopus 로고
    • Information-theoretic measures of uncertainty for rough sets and rough relational databases
    • T. Beaubouef, F.E. Petry, and G. Arora Information-theoretic measures of uncertainty for rough sets and rough relational databases Information Sciences 109 1998 185 195
    • (1998) Information Sciences , vol.109 , pp. 185-195
    • Beaubouef, T.1    Petry, F.E.2    Arora, G.3
  • 3
    • 33847719558 scopus 로고    scopus 로고
    • Entropies and cocentropies of coverings with application to incomplete information systems
    • D. Bianucci, G. Cattaneo, and D. Ciucci Entropies and cocentropies of coverings with application to incomplete information systems Fundamenta Informaticae 75 2007 77 105
    • (2007) Fundamenta Informaticae , vol.75 , pp. 77-105
    • Bianucci, D.1    Cattaneo, G.2    Ciucci, D.3
  • 5
    • 81155139696 scopus 로고    scopus 로고
    • A soft-computing based rough sets classifier for classifying IPO returns in the financial markets
    • Y.S. Chen, and C.H. Cheng A soft-computing based rough sets classifier for classifying IPO returns in the financial markets Applied Soft Computing 12 2012 462 475
    • (2012) Applied Soft Computing , vol.12 , pp. 462-475
    • Chen, Y.S.1    Cheng, C.H.2
  • 6
    • 39149131720 scopus 로고    scopus 로고
    • Rough three-valued algebras
    • J. Dai Rough three-valued algebras Information Sciences 178 2008 1986 1996
    • (2008) Information Sciences , vol.178 , pp. 1986-1996
    • Dai, J.1
  • 7
    • 84871919380 scopus 로고    scopus 로고
    • Attribute selection based on a new conditional entropy for incomplete decision systems
    • J. Dai, W. Wang, H. Tian, and L. Liu Attribute selection based on a new conditional entropy for incomplete decision systems Knowledge-Based Systems 39 2013 207 213
    • (2013) Knowledge-Based Systems , vol.39 , pp. 207-213
    • Dai, J.1    Wang, W.2    Tian, H.3    Liu, L.4
  • 9
    • 84855980191 scopus 로고    scopus 로고
    • Uncertainty measurement for interval-valued decision systems based on extended conditional entropy
    • J. Dai, W. Wang, Q. Xu, and H. Tian Uncertainty measurement for interval-valued decision systems based on extended conditional entropy Knowledge-Based Systems 27 2012 443 450
    • (2012) Knowledge-Based Systems , vol.27 , pp. 443-450
    • Dai, J.1    Wang, W.2    Xu, Q.3    Tian, H.4
  • 10
    • 84859593302 scopus 로고    scopus 로고
    • Approximations and uncertainty measures in incomplete information systems
    • J. Dai, and Q. Xu Approximations and uncertainty measures in incomplete information systems Information Sciences 198 2012 62 80
    • (2012) Information Sciences , vol.198 , pp. 62-80
    • Dai, J.1    Xu, Q.2
  • 11
    • 84869381912 scopus 로고    scopus 로고
    • Attribute selection based on information gain ratio in fuzzy rough set theory with application to tumor classification
    • J. Dai, and Q. Xu Attribute selection based on information gain ratio in fuzzy rough set theory with application to tumor classification Applied Soft Computing 13 2013 211 221
    • (2013) Applied Soft Computing , vol.13 , pp. 211-221
    • Dai, J.1    Xu, Q.2
  • 12
    • 84864063529 scopus 로고    scopus 로고
    • Conditional entropy for incomplete decision systems and its application in data mining
    • J. Dai, Q. Xu, W. Wang, and H. Tian Conditional entropy for incomplete decision systems and its application in data mining International Journal of General Systems 41 2012 713 728
    • (2012) International Journal of General Systems , vol.41 , pp. 713-728
    • Dai, J.1    Xu, Q.2    Wang, W.3    Tian, H.4
  • 13
    • 81355127279 scopus 로고    scopus 로고
    • Enhancing evolutionary instance selection algorithms by means of fuzzy rough set based feature selection
    • J. Derrac, C. Cornelis, S. Garcia, and F. Herrera Enhancing evolutionary instance selection algorithms by means of fuzzy rough set based feature selection Information Sciences 181 2012 73 92
    • (2012) Information Sciences , vol.181 , pp. 73-92
    • Derrac, J.1    Cornelis, C.2    Garcia, S.3    Herrera, F.4
  • 14
    • 0032205549 scopus 로고    scopus 로고
    • Uncertainty measures of rough set prediction
    • I. Duentsch, and G. Gediga Uncertainty measures of rough set prediction Artificial Intelligence 106 1998 109 137
    • (1998) Artificial Intelligence , vol.106 , pp. 109-137
    • Duentsch, I.1    Gediga, G.2
  • 15
    • 33745222534 scopus 로고    scopus 로고
    • Set-valued information systems
    • Y.Y. Guan, and H. Wang Set-valued information systems Information Sciences 176 2006 2507 2525
    • (2006) Information Sciences , vol.176 , pp. 2507-2525
    • Guan, Y.Y.1    Wang, H.2
  • 19
    • 79959697475 scopus 로고    scopus 로고
    • Graded dominance interval-based fuzzy objective information systems
    • B. Huang Graded dominance interval-based fuzzy objective information systems Knowledge-Based Systems 24 2011 1004 1012
    • (2011) Knowledge-Based Systems , vol.24 , pp. 1004-1012
    • Huang, B.1
  • 20
    • 84875243180 scopus 로고    scopus 로고
    • Using a rough set model to extract rules in dominance-based interval-valued intuitionistic fuzzy information systems
    • B. Huang, D. kuan Wei, H. xiong Li, and Y. liang Zhuang Using a rough set model to extract rules in dominance-based interval-valued intuitionistic fuzzy information systems Information Sciences 221 2013 215 229
    • (2013) Information Sciences , vol.221 , pp. 215-229
    • Huang, B.1    Kuan Wei, D.2    Xiong Li, H.3    Liang Zhuang, Y.4
  • 21
    • 78751617552 scopus 로고    scopus 로고
    • A rough set approach to multiple dataset analysis
    • K. Kaneiwa A rough set approach to multiple dataset analysis Applied Soft Computing 11 2011 2538 2547
    • (2011) Applied Soft Computing , vol.11 , pp. 2538-2547
    • Kaneiwa, K.1
  • 22
    • 84941499230 scopus 로고
    • An information-theoretic analysis of relational databases, Part I: Data dependencies and information metric
    • T.T. Lee An information-theoretic analysis of relational databases, Part I: Data dependencies and information metric IEEE Transactions on Software Engineering 13 1987 1049 1061
    • (1987) IEEE Transactions on Software Engineering , vol.13 , pp. 1049-1061
    • Lee, T.T.1
  • 23
    • 84855888735 scopus 로고    scopus 로고
    • A roughset approach for estimating correlation measures in quality function deployment
    • Y.L. Li, J.F. Tang, K.S. Chin, Y. Han, and X.G. Luo A roughset approach for estimating correlation measures in quality function deployment Information Sciences 189 2012 126 142
    • (2012) Information Sciences , vol.189 , pp. 126-142
    • Li, Y.L.1    Tang, J.F.2    Chin, K.S.3    Han, Y.4    Luo, X.G.5
  • 26
    • 33750915055 scopus 로고    scopus 로고
    • Information entropy, rough entropy and knowledge granulation in incomplete information systems
    • J.Y. Liang, Z.Z. Shi, D.Y. Li, and M.J. Wierman Information entropy, rough entropy and knowledge granulation in incomplete information systems International Journal of General Systems 35 2006 641 654
    • (2006) International Journal of General Systems , vol.35 , pp. 641-654
    • Liang, J.Y.1    Shi, Z.Z.2    Li, D.Y.3    Wierman, M.J.4
  • 27
    • 0018518835 scopus 로고
    • On semantic issues connected with incomplete information databases
    • W.J. Lipski On semantic issues connected with incomplete information databases ACM Transactions on Database Systems 4 1979 269 296
    • (1979) ACM Transactions on Database Systems , vol.4 , pp. 269-296
    • Lipski, W.J.1
  • 28
    • 84976669069 scopus 로고
    • On databases with incomplete information
    • W.J. Lipski On databases with incomplete information Journal of the ACM 28 1981 41 70
    • (1981) Journal of the ACM , vol.28 , pp. 41-70
    • Lipski, W.J.1
  • 29
  • 30
    • 0036223784 scopus 로고    scopus 로고
    • The calculation of knowledge granulation and its application
    • (in Chinese)
    • D. Miao, and S. Fan The calculation of knowledge granulation and its application Systems Engineering Theory and Practice 22 2002 48 56 (in Chinese)
    • (2002) Systems Engineering Theory and Practice , vol.22 , pp. 48-56
    • Miao, D.1    Fan, S.2
  • 31
    • 0007484648 scopus 로고    scopus 로고
    • On the relationships between information entropy and roughness of knowledge in rough set theory
    • (in Chinese)
    • D. Miao, and J. Wang On the relationships between information entropy and roughness of knowledge in rough set theory Pattern Recognition and Artificial Intelligence 11 1998 34 40 (in Chinese)
    • (1998) Pattern Recognition and Artificial Intelligence , vol.11 , pp. 34-40
    • Miao, D.1    Wang, J.2
  • 32
    • 84862895108 scopus 로고    scopus 로고
    • Attribute reduction of data with error ranges and test costs
    • F. Min, and W. Zhu Attribute reduction of data with error ranges and test costs Information Sciences 211 2012 48 67
    • (2012) Information Sciences , vol.211 , pp. 48-67
    • Min, F.1    Zhu, W.2
  • 34
    • 84856017775 scopus 로고    scopus 로고
    • A new weighted rough set framework based classification for Egyptian NeoNatal Jaundice
    • H.S. Own, and A. Abraham A new weighted rough set framework based classification for Egyptian NeoNatal Jaundice Applied Soft Computing 12 2012 999 1005
    • (2012) Applied Soft Computing , vol.12 , pp. 999-1005
    • Own, H.S.1    Abraham, A.2
  • 39
    • 44349111128 scopus 로고    scopus 로고
    • Combination entropy and combination granulation in rough set theory
    • Y.H. Qian, and J.Y. Liang Combination entropy and combination granulation in rough set theory Fuzziness and Knowledge-Based Systems 16 2008 179 193
    • (2008) Fuzziness and Knowledge-Based Systems , vol.16 , pp. 179-193
    • Qian, Y.H.1    Liang, J.Y.2
  • 42
    • 84856043672 scopus 로고
    • A mathematical theory of communication
    • 623-65
    • C. Shannon A mathematical theory of communication The Bell System Technical Journal 27 1948 379 423 623-65
    • (1948) The Bell System Technical Journal , vol.27 , pp. 379-423
    • Shannon, C.1
  • 43
    • 0002878615 scopus 로고
    • A modal logic for similarity relations in pawlak knowledge representation systems
    • D. Vakarelov A modal logic for similarity relations in pawlak knowledge representation systems Fundamenta Informaticae 15 1991 61 79
    • (1991) Fundamenta Informaticae , vol.15 , pp. 61-79
    • Vakarelov, D.1
  • 44
    • 84868508836 scopus 로고    scopus 로고
    • Quantitative analysis for covering-based rough sets through the upper approximation number
    • S. Wang, Q. Zhu, W. Zhu, and F. Min Quantitative analysis for covering-based rough sets through the upper approximation number Information Sciences 220 2013 483 491
    • (2013) Information Sciences , vol.220 , pp. 483-491
    • Wang, S.1    Zhu, Q.2    Zhu, W.3    Min, F.4
  • 45
    • 84857790777 scopus 로고    scopus 로고
    • A comparative study of rough sets for hybrid data
    • W. Wei, J.Y. Liang, and Y.H. Qian A comparative study of rough sets for hybrid data Information Sciences 190 2012 1 16
    • (2012) Information Sciences , vol.190 , pp. 1-16
    • Wei, W.1    Liang, J.Y.2    Qian, Y.H.3
  • 47
    • 80054058362 scopus 로고    scopus 로고
    • Theory and applications of granular labelled partitions in multi-scale decision tables
    • W.Z. Wu, and Y. Leung Theory and applications of granular labelled partitions in multi-scale decision tables Information Sciences 181 2011 3878 3897
    • (2011) Information Sciences , vol.181 , pp. 3878-3897
    • Wu, W.Z.1    Leung, Y.2
  • 48
    • 84855956140 scopus 로고    scopus 로고
    • Approaches to attribute reductions based on rough set and matrix computation in inconsistent ordered information systems
    • W.H. Xu, Y. Li, and X. Liao Approaches to attribute reductions based on rough set and matrix computation in inconsistent ordered information systems Knowledge-Based Systems 27 2012 78 91
    • (2012) Knowledge-Based Systems , vol.27 , pp. 78-91
    • Xu, W.H.1    Li, Y.2    Liao, X.3
  • 49
    • 68849084614 scopus 로고    scopus 로고
    • Knowledge granulation, knowledge entropy and knowledge uncertainty measure in ordered information systems
    • W.H. Xu, X.Y. Zhang, and W.X. Zhang Knowledge granulation, knowledge entropy and knowledge uncertainty measure in ordered information systems Applied Soft Computing 9 2009 1244 1251
    • (2009) Applied Soft Computing , vol.9 , pp. 1244-1251
    • Xu, W.H.1    Zhang, X.Y.2    Zhang, W.X.3
  • 52
    • 0242354222 scopus 로고    scopus 로고
    • Information-theoretic measures for knowledge discovery and data mining
    • Karmeshu Springer Berlin
    • Y.Y. Yao Information-theoretic measures for knowledge discovery and data mining Karmeshu Entropy Measures, Maximum Entropy and Emerging Applications 2003 Springer Berlin 115 136
    • (2003) Entropy Measures, Maximum Entropy and Emerging Applications , pp. 115-136
    • Yao, Y.Y.1
  • 53
    • 0242289559 scopus 로고    scopus 로고
    • Probabilistic approaches to rough sets
    • Y.Y. Yao Probabilistic approaches to rough sets Expert Systems 20 2003 287 297
    • (2003) Expert Systems , vol.20 , pp. 287-297
    • Yao, Y.Y.1
  • 54
    • 79251593234 scopus 로고    scopus 로고
    • The superiority of three-way decisions in probabilistic rough set models
    • Y.Y. Yao The superiority of three-way decisions in probabilistic rough set models Information Sciences 181 2011 1080 1096
    • (2011) Information Sciences , vol.181 , pp. 1080-1096
    • Yao, Y.Y.1
  • 56
    • 84860268481 scopus 로고    scopus 로고
    • Covering based rough set approximations
    • Y.Y. Yao, and B. Yao Covering based rough set approximations Information Sciences 200 2012 91 107
    • (2012) Information Sciences , vol.200 , pp. 91-107
    • Yao, Y.Y.1    Yao, B.2
  • 57
    • 84863728181 scopus 로고    scopus 로고
    • A measurement theory view on the granularity of partitions
    • Y.Y. Yao, and L. Zhao A measurement theory view on the granularity of partitions Information Sciences 213 2012 1 13
    • (2012) Information Sciences , vol.213 , pp. 1-13
    • Yao, Y.Y.1    Zhao, L.2
  • 59
    • 84864717266 scopus 로고    scopus 로고
    • A general frame for intuitionistic fuzzy rough sets
    • X. Zhang, B. Zhou, and P. Li A general frame for intuitionistic fuzzy rough sets Information Sciences 216 2012 34 49
    • (2012) Information Sciences , vol.216 , pp. 34-49
    • Zhang, X.1    Zhou, B.2    Li, P.3
  • 60
    • 84862995700 scopus 로고    scopus 로고
    • Information-theoretic measures associated with rough set approximations
    • P. Zhu, and Q. Wen Information-theoretic measures associated with rough set approximations Information Sciences 212 2012 33 43
    • (2012) Information Sciences , vol.212 , pp. 33-43
    • Zhu, P.1    Wen, Q.2
  • 61
    • 84860278722 scopus 로고    scopus 로고
    • The fourth type of covering-based rough sets
    • W. Zhu, and F.Y. Wang The fourth type of covering-based rough sets Information Sciences 201 2012 80 92
    • (2012) Information Sciences , vol.201 , pp. 80-92
    • Zhu, W.1    Wang, F.Y.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.