메뉴 건너뛰기




Volumn 120, Issue , 2017, Pages 226-235

Measures of uncertainty for neighborhood rough sets

Author keywords

Information quantity; Neighborhood entropy; Neighborhood rough sets; Rough sets; Uncertainty measures

Indexed keywords

CLUSTERING ALGORITHMS; GRANULATION; LEARNING SYSTEMS; ROUGH SET THEORY; UNCERTAINTY ANALYSIS;

EID: 85012930877     PISSN: 09507051     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.knosys.2017.01.008     Document Type: Article
Times cited : (89)

References (52)
  • 1
    • 84887016643 scopus 로고    scopus 로고
    • Fusion of local normalization and Gabor entropy weighted features for face identification
    • [1] Cament, L.A., Castillo, L.E., Perez, J.P., Galdames, F.J., Perez, C.A., Fusion of local normalization and Gabor entropy weighted features for face identification. Pattern Recognit. 47:2 (2014), 568–577.
    • (2014) Pattern Recognit. , vol.47 , Issue.2 , pp. 568-577
    • Cament, L.A.1    Castillo, L.E.2    Perez, J.P.3    Galdames, F.J.4    Perez, C.A.5
  • 3
    • 84930170930 scopus 로고    scopus 로고
    • On measurements of covering rough sets based on granules and evidence theory
    • [3] Chen, D.G., Zhang, X.X., Li, W.L., On measurements of covering rough sets based on granules and evidence theory. Inf. Sci. 317 (2015), 329–348.
    • (2015) Inf. Sci. , vol.317 , pp. 329-348
    • Chen, D.G.1    Zhang, X.X.2    Li, W.L.3
  • 4
    • 77957841883 scopus 로고    scopus 로고
    • Neighborhood outlier detection
    • [4] Chen, Y.M., Miao, D.Q., Zhang, H.Y., Neighborhood outlier detection. Expert Syst. Appl. 37:12 (2010), 8745–8749.
    • (2010) Expert Syst. Appl. , vol.37 , Issue.12 , pp. 8745-8749
    • Chen, Y.M.1    Miao, D.Q.2    Zhang, H.Y.3
  • 5
    • 84901845900 scopus 로고    scopus 로고
    • An entropy-based uncertainty measurement approach in neighborhood systems
    • [5] Chen, Y.M., Wu, K., Chen, X.H., Tang, C.H., Zhu, Q.X., An entropy-based uncertainty measurement approach in neighborhood systems. Inf. Sci. 279 (2014), 239–250.
    • (2014) Inf. Sci. , vol.279 , pp. 239-250
    • Chen, Y.M.1    Wu, K.2    Chen, X.H.3    Tang, C.H.4    Zhu, Q.X.5
  • 6
    • 84859593302 scopus 로고    scopus 로고
    • Approximations and uncertainty measures in incomplete information systems
    • [6] Dai, J.H., Xu, Q., Approximations and uncertainty measures in incomplete information systems. Inf. Sci. 198 (2012), 62–80.
    • (2012) Inf. Sci. , vol.198 , pp. 62-80
    • Dai, J.H.1    Xu, Q.2
  • 7
    • 84869381912 scopus 로고    scopus 로고
    • Attribute selection based on information gain ratio in fuzzy rough set theory with application to tumor classification
    • [7] Dai, J.H., Xu, Q., Attribute selection based on information gain ratio in fuzzy rough set theory with application to tumor classification. Appl. Soft Comput. 13:1 (2013), 211–221.
    • (2013) Appl. Soft Comput. , vol.13 , Issue.1 , pp. 211-221
    • Dai, J.H.1    Xu, Q.2
  • 8
    • 84951264353 scopus 로고    scopus 로고
    • Environmental conflict analysis using an integrated grey clustering and entropy-weight method: a case study of a mining project in Peru
    • [8] Delgado, A., Romero, I., Environmental conflict analysis using an integrated grey clustering and entropy-weight method: a case study of a mining project in Peru. Environ. Modell. Softw. 77 (2016), 108–121.
    • (2016) Environ. Modell. Softw. , vol.77 , pp. 108-121
    • Delgado, A.1    Romero, I.2
  • 9
    • 0032205549 scopus 로고    scopus 로고
    • Uncertainty measures of rough set prediction
    • [9] Düntsch, I., Gediga, G., Uncertainty measures of rough set prediction. Artif. Intell. 106:1 (1998), 109–137.
    • (1998) Artif. Intell. , vol.106 , Issue.1 , pp. 109-137
    • Düntsch, I.1    Gediga, G.2
  • 11
    • 84929471718 scopus 로고    scopus 로고
    • Incremental learning for v-support vector regression
    • [11] Gu, B., Sheng, V.S., Wang, Z.J., Ho, D., Osman, S., Incremental learning for v-support vector regression. Neural Netw. 67 (2015), 140–150.
    • (2015) Neural Netw. , vol.67 , pp. 140-150
    • Gu, B.1    Sheng, V.S.2    Wang, Z.J.3    Ho, D.4    Osman, S.5
  • 12
    • 84946780967 scopus 로고    scopus 로고
    • An entropy-based evaluation method for knowledge bases of medical information systems
    • [12] Hempelmann, C.F., Sakoglu, U., Gurupur, V.P., Jampana, S., An entropy-based evaluation method for knowledge bases of medical information systems. Expert Syst. Appl. 46 (2016), 262–273.
    • (2016) Expert Syst. Appl. , vol.46 , pp. 262-273
    • Hempelmann, C.F.1    Sakoglu, U.2    Gurupur, V.P.3    Jampana, S.4
  • 13
    • 84957687139 scopus 로고    scopus 로고
    • Hierarchical structures and uncertainty measures for intuitionistic fuzzy approximation space
    • [13] Huang, B., Guo, C.X., Li, H.X., Feng, G.F., Zhou, X.Z., Hierarchical structures and uncertainty measures for intuitionistic fuzzy approximation space. Inf. Sci. 336 (2016), 92–114.
    • (2016) Inf. Sci. , vol.336 , pp. 92-114
    • Huang, B.1    Guo, C.X.2    Li, H.X.3    Feng, G.F.4    Zhou, X.Z.5
  • 14
    • 32644440353 scopus 로고    scopus 로고
    • Information-preserving hybrid data reduction based on fuzzy-rough techniques
    • [14] Hu, Q.H., Yu, D.R., Xie, Z.X., Information-preserving hybrid data reduction based on fuzzy-rough techniques. Pattern Recognit. Lett. 27:5 (2006), 414–423.
    • (2006) Pattern Recognit. Lett. , vol.27 , Issue.5 , pp. 414-423
    • Hu, Q.H.1    Yu, D.R.2    Xie, Z.X.3
  • 15
    • 36148978191 scopus 로고    scopus 로고
    • Neighborhood classifiers
    • [15] Hu, Q.H., Yu, D.R., Xie, Z.X., Neighborhood classifiers. Expert Syst. Appl. 34:2 (2008), 866–876.
    • (2008) Expert Syst. Appl. , vol.34 , Issue.2 , pp. 866-876
    • Hu, Q.H.1    Yu, D.R.2    Xie, Z.X.3
  • 16
    • 46749140199 scopus 로고    scopus 로고
    • Neighborhood rough set based heterogeneous feature subset selection
    • [16] Hu, Q.H., Yu, D.R., Liu, J.F., Wu, C.X., Neighborhood rough set based heterogeneous feature subset selection. Inf. Sci. 178:18 (2008), 3577–3594.
    • (2008) Inf. Sci. , vol.178 , Issue.18 , pp. 3577-3594
    • Hu, Q.H.1    Yu, D.R.2    Liu, J.F.3    Wu, C.X.4
  • 17
    • 84855971600 scopus 로고    scopus 로고
    • Distance: a more comprehensible perspective for measures in rough set theory
    • [17] Liang, J.Y., Li, R., Qian, Y.H., Distance: a more comprehensible perspective for measures in rough set theory. Knowl. Based Syst. 27:11 (2012), 126–136.
    • (2012) Knowl. Based Syst. , vol.27 , Issue.11 , pp. 126-136
    • Liang, J.Y.1    Li, R.2    Qian, Y.H.3
  • 18
    • 56949107327 scopus 로고    scopus 로고
    • A new measure of uncertainty based on knowledge granulation for rough sets
    • [18] Liang, J.Y., Wang, J., Qian, Y.H., A new measure of uncertainty based on knowledge granulation for rough sets. Inf. Sci. 179:4 (2009), 458–470.
    • (2009) Inf. Sci. , vol.179 , Issue.4 , pp. 458-470
    • Liang, J.Y.1    Wang, J.2    Qian, Y.H.3
  • 19
    • 33750915055 scopus 로고    scopus 로고
    • Information entropy, rough entropy and knowledge granulation in incomplete information systems
    • [19] Liang, J., Shi, Z., Li, D., Wierman, M.J., Information entropy, rough entropy and knowledge granulation in incomplete information systems. Int. J. Gen. Syst. 35:6 (2006), 641–654.
    • (2006) Int. J. Gen. Syst. , vol.35 , Issue.6 , pp. 641-654
    • Liang, J.1    Shi, Z.2    Li, D.3    Wierman, M.J.4
  • 20
    • 84915811623 scopus 로고    scopus 로고
    • Incremental updating approximations in probabilistic rough sets under the variation of attributes
    • [20] Liu, D., Li, T.R., Zhang, J.B., Incremental updating approximations in probabilistic rough sets under the variation of attributes. Knowl. Based Syst. 73 (2015), 81–96.
    • (2015) Knowl. Based Syst. , vol.73 , pp. 81-96
    • Liu, D.1    Li, T.R.2    Zhang, J.B.3
  • 21
    • 84898797239 scopus 로고    scopus 로고
    • Quick attribute reduct algorithm for neighborhood rough set model
    • [21] Liu, Y., Huang, W.L., Jiang, Y.L., Zeng, Z.Y., Quick attribute reduct algorithm for neighborhood rough set model. Inf. Sci. 271 (2014), 65–81.
    • (2014) Inf. Sci. , vol.271 , pp. 65-81
    • Liu, Y.1    Huang, W.L.2    Jiang, Y.L.3    Zeng, Z.Y.4
  • 22
    • 84991706032 scopus 로고    scopus 로고
    • Efficient updating of probabilistic approximations with incremental objects
    • [22] Luo, C., Li, T.R., Chen, H.M., Fujita, H., Yi, Z., Efficient updating of probabilistic approximations with incremental objects. Knowl. Based Syst. 191 (2016), 71–83.
    • (2016) Knowl. Based Syst. , vol.191 , pp. 71-83
    • Luo, C.1    Li, T.R.2    Chen, H.M.3    Fujita, H.4    Yi, Z.5
  • 23
    • 84927654205 scopus 로고    scopus 로고
    • Gene selection integrated with biological knowledge for plant stress response using neighborhood system and rough set theory
    • [23] Meng, J., Zhang, J., Luan, Y.S., Gene selection integrated with biological knowledge for plant stress response using neighborhood system and rough set theory. IEEE/ACM Trans. Comput. Biol. Bioinf. 12:2 (2015), 433–444.
    • (2015) IEEE/ACM Trans. Comput. Biol. Bioinf. , vol.12 , Issue.2 , pp. 433-444
    • Meng, J.1    Zhang, J.2    Luan, Y.S.3
  • 24
    • 84862895108 scopus 로고    scopus 로고
    • Attribute reduction of data with error ranges and test costs
    • [24] Min, F., Zhu, W., Attribute reduction of data with error ranges and test costs. Inf. Sci. 211 (2012), 48–67.
    • (2012) Inf. Sci. , vol.211 , pp. 48-67
    • Min, F.1    Zhu, W.2
  • 25
    • 84888054977 scopus 로고    scopus 로고
    • Feature selection with test cost constraint
    • [25] Min, F., Hu, Q.H., Zhu, W., Feature selection with test cost constraint. Int. J. Approximate Reasoning 55:1 (2014), 167–179.
    • (2014) Int. J. Approximate Reasoning , vol.55 , Issue.1 , pp. 167-179
    • Min, F.1    Hu, Q.H.2    Zhu, W.3
  • 26
    • 0000549393 scopus 로고    scopus 로고
    • An information representation of the concepts and operations in rough set theory
    • [26] Miao, D.Q., Wang, J., An information representation of the concepts and operations in rough set theory. J. Softw. 10:2 (1999), 113–116.
    • (1999) J. Softw. , vol.10 , Issue.2 , pp. 113-116
    • Miao, D.Q.1    Wang, J.2
  • 27
    • 0036223784 scopus 로고    scopus 로고
    • The calculation of knowledge granulation and its application
    • [27] Miao, D.Q., Fan, S., The calculation of knowledge granulation and its application. Syst. Eng. Theory Pract. 22:1 (2002), 48–56.
    • (2002) Syst. Eng. Theory Pract. , vol.22 , Issue.1 , pp. 48-56
    • Miao, D.Q.1    Fan, S.2
  • 28
    • 2342547783 scopus 로고    scopus 로고
    • A comparison of rough set methods and representative inductive learning algorithms
    • [28] Miao, D.Q., Hou, L.S., A comparison of rough set methods and representative inductive learning algorithms. Fundamenta Informaticae 59:2 (2004), 203–219.
    • (2004) Fundamenta Informaticae , vol.59 , Issue.2 , pp. 203-219
    • Miao, D.Q.1    Hou, L.S.2
  • 29
    • 84975263563 scopus 로고    scopus 로고
    • Color smoothing for RGB-D data using entropy information
    • [29] Navarrete, J., Viejo, D., Cazorla, M., Color smoothing for RGB-D data using entropy information. Appl. Soft Comput. 46 (2016), 361–380.
    • (2016) Appl. Soft Comput. , vol.46 , pp. 361-380
    • Navarrete, J.1    Viejo, D.2    Cazorla, M.3
  • 31
    • 0003397496 scopus 로고
    • Rough Sets: Theoretical Aspects of Reasoning About Data
    • Kluwer Academic Publishers, Dordrecht
    • [31] Pawlak, Z., Rough Sets: Theoretical Aspects of Reasoning About Data. 1991, Kluwer Academic Publishers, Dordrecht.
    • (1991)
    • Pawlak, Z.1
  • 32
    • 44349111128 scopus 로고    scopus 로고
    • Combination entropy and combination granulation in rough set theory
    • [32] Qian, Y.H., Liang, J.Y., Combination entropy and combination granulation in rough set theory. Int. J. Uncertainty Fuzziness Knowl. Based Syst. 16 (2008), 179–193.
    • (2008) Int. J. Uncertainty Fuzziness Knowl. Based Syst. , vol.16 , pp. 179-193
    • Qian, Y.H.1    Liang, J.Y.2
  • 33
    • 33744584654 scopus 로고
    • Induction of decision trees
    • [33] Quinlan, J.R., Induction of decision trees. Mach. Learn. 1 (1986), 81–106.
    • (1986) Mach. Learn. , vol.1 , pp. 81-106
    • Quinlan, J.R.1
  • 34
    • 0003653039 scopus 로고
    • Introduction to Modern Information Retrieval
    • McGraw-Hill, New York
    • [34] Salton, G., McGill, M.H., Introduction to Modern Information Retrieval. 1983, McGraw-Hill, New York.
    • (1983)
    • Salton, G.1    McGill, M.H.2
  • 35
    • 84856043672 scopus 로고
    • A mathematical theory of communication
    • [35] Shannon, C.E., A mathematical theory of communication. Bell Syst. Tech. J. 27 (1948), 379–656.
    • (1948) Bell Syst. Tech. J. , vol.27 , pp. 379-656
    • Shannon, C.E.1
  • 36
    • 84961291654 scopus 로고    scopus 로고
    • A rapid learning algorithm for vehicle classification
    • [36] Wen, X.Z., Shao, L., Xue, Y., Fang, W., A rapid learning algorithm for vehicle classification. Inf. Sci. 295 (2015), 395–406.
    • (2015) Inf. Sci. , vol.295 , pp. 395-406
    • Wen, X.Z.1    Shao, L.2    Xue, Y.3    Fang, W.4
  • 37
    • 0001915751 scopus 로고
    • An information-theoretic measure of term specificity
    • [37] Wong, S.K.M., Yao, Y.Y., An information-theoretic measure of term specificity. J. Am. Soc. Inf.Sci. 43 (1992), 54–61.
    • (1992) J. Am. Soc. Inf.Sci. , vol.43 , pp. 54-61
    • Wong, S.K.M.1    Yao, Y.Y.2
  • 38
    • 84959136299 scopus 로고    scopus 로고
    • Steganalysis of LSB matching using differences between nonadjacent pixels
    • [38] Xia, Z.H., Wang, X.H., Sun, X.M., Liu, Q.S., Xiong, N.X., Steganalysis of LSB matching using differences between nonadjacent pixels. Multimed. Tools Appl. 75 (2016), 1947–1962.
    • (2016) Multimed. Tools Appl. , vol.75 , pp. 1947-1962
    • Xia, Z.H.1    Wang, X.H.2    Sun, X.M.3    Liu, Q.S.4    Xiong, N.X.5
  • 39
    • 84906330795 scopus 로고    scopus 로고
    • Construction of tree network with limited delivery latency in homogeneous wireless sensor networks
    • [39] Xie, S.D., Wang, Y.X., Construction of tree network with limited delivery latency in homogeneous wireless sensor networks. Wireless Pers. Commun. 78:1 (2014), 231–246.
    • (2014) Wireless Pers. Commun. , vol.78 , Issue.1 , pp. 231-246
    • Xie, S.D.1    Wang, Y.X.2
  • 40
    • 60349098399 scopus 로고    scopus 로고
    • Fuzzy-rough attribute reduction via mutual information with an application to cancer classification
    • [40] Xu, F.F., Miao, D.Q., Wei, L., Fuzzy-rough attribute reduction via mutual information with an application to cancer classification. Comput. Math. Appl. 57:6 (2009), 1010–1017.
    • (2009) Comput. Math. Appl. , vol.57 , Issue.6 , pp. 1010-1017
    • Xu, F.F.1    Miao, D.Q.2    Wei, L.3
  • 41
    • 79955599524 scopus 로고    scopus 로고
    • Neighborhood rough set and SVM based hybrid credit scoring classifier
    • [41] Yao, P., Lu, Y.H., Neighborhood rough set and SVM based hybrid credit scoring classifier. Expert Syst. Appl. 38:9 (2011), 11300–11304.
    • (2011) Expert Syst. Appl. , vol.38 , Issue.9 , pp. 11300-11304
    • Yao, P.1    Lu, Y.H.2
  • 42
    • 0242354222 scopus 로고    scopus 로고
    • Information-theoretic measures for knowledge discovery and data mining
    • Karmeshu Springer, Berlin
    • [42] Yao, Y.Y., Information-theoretic measures for knowledge discovery and data mining. Karmeshu, (eds.) 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
  • 43
    • 81255195959 scopus 로고    scopus 로고
    • Notes on rough set approximations and associated measures
    • [43] Yao, Y.Y., Notes on rough set approximations and associated measures. J. Zhejiang Ocean Univ. (Nat.Sci.) 29:5 (2010), 399–410.
    • (2010) J. Zhejiang Ocean Univ. (Nat.Sci.) , vol.29 , Issue.5 , pp. 399-410
    • Yao, Y.Y.1
  • 44
    • 0032204205 scopus 로고    scopus 로고
    • Relational interpretations of neighborhood operators and rough set approximation operators
    • [44] Yao, Y.Y., Relational interpretations of neighborhood operators and rough set approximation operators. Inf. Sci. 111 (1998), 239–259.
    • (1998) Inf. Sci. , vol.111 , pp. 239-259
    • Yao, Y.Y.1
  • 45
    • 0001775050 scopus 로고    scopus 로고
    • Granular computing using neighborhood systems, advances in soft computing: engineering design and manufacturing
    • R. Roy T. Furuhashi P. Chawdhry Springer-Verlag, London
    • [45] Yao, Y.Y., Granular computing using neighborhood systems, advances in soft computing: engineering design and manufacturing. Roy, R., Furuhashi, T., Chawdhry, P., (eds.) The 3rd On-line World Conference on Soft Computing (WSC3), 1999, Springer-Verlag, London, 539–553.
    • (1999) The 3rd On-line World Conference on Soft Computing (WSC3) , pp. 539-553
    • Yao, Y.Y.1
  • 46
    • 84863728181 scopus 로고    scopus 로고
    • A measurement theory view on the granularity of partitions
    • [46] Yao, Y.Y., Zhao, L.Q., A measurement theory view on the granularity of partitions. Inf. Sci. 213 (2012), 1–13.
    • (2012) Inf. Sci. , vol.213 , pp. 1-13
    • Yao, Y.Y.1    Zhao, L.Q.2
  • 47
    • 84885594642 scopus 로고    scopus 로고
    • Neighborhood rough sets based multi-label classification for automatic image annotation
    • [47] Yu, Y., Pedrycz, W., Miao, D.Q., Neighborhood rough sets based multi-label classification for automatic image annotation. Int. J. Approximate Reasoning 54:9 (2013), 1373–1387.
    • (2013) Int. J. Approximate Reasoning , vol.54 , Issue.9 , pp. 1373-1387
    • Yu, Y.1    Pedrycz, W.2    Miao, D.Q.3
  • 48
    • 84973667673 scopus 로고    scopus 로고
    • The uncertainty of probabilistic rough sets in multi-granulation spaces
    • [48] Zhang, Q.H., Zhang, Q., Wang, G.Y., The uncertainty of probabilistic rough sets in multi-granulation spaces. Int. J. Approximate Reasoning 77 (2016), 38–54.
    • (2016) Int. J. Approximate Reasoning , vol.77 , pp. 38-54
    • Zhang, Q.H.1    Zhang, Q.2    Wang, G.Y.3
  • 49
    • 84973522069 scopus 로고    scopus 로고
    • Cost-sensitive feature selection based on adaptive neighborhood granularity with multi-level confidence
    • [49] Zhao, H., Wang, P., Hu, Q.H., Cost-sensitive feature selection based on adaptive neighborhood granularity with multi-level confidence. Inf. Sci. 366 (2016), 134–149.
    • (2016) Inf. Sci. , vol.366 , pp. 134-149
    • Zhao, H.1    Wang, P.2    Hu, Q.H.3
  • 50
    • 84921899998 scopus 로고    scopus 로고
    • Image segmentation by generalized hierarchical fuzzy C-means algorithm
    • [50] Zheng, Y.H., Jeon, B., Xu, D.H., Wu, Q.M.J., Zhang, H., Image segmentation by generalized hierarchical fuzzy C-means algorithm. J. Intell. Fuzzy Syst. 28:2 (2015), 961–973.
    • (2015) J. Intell. Fuzzy Syst. , vol.28 , Issue.2 , pp. 961-973
    • Zheng, Y.H.1    Jeon, B.2    Xu, D.H.3    Wu, Q.M.J.4    Zhang, H.5
  • 51
    • 84938416538 scopus 로고    scopus 로고
    • Uncertainty measures of neighborhood system-based rough sets
    • [51] Zheng, T.T., Zhu, L.Y., Uncertainty measures of neighborhood system-based rough sets. Knowl. Based Syst. 86 (2015), 57–65.
    • (2015) Knowl. Based Syst. , vol.86 , pp. 57-65
    • Zheng, T.T.1    Zhu, L.Y.2
  • 52
    • 0037621960 scopus 로고    scopus 로고
    • Reduction and axiomization of covering generalized rough sets
    • [52] Zhu, W., Wang, F., Reduction and axiomization of covering generalized rough sets. Inf. Sci. 152 (2003), 217–230.
    • (2003) Inf. Sci. , vol.152 , pp. 217-230
    • Zhu, W.1    Wang, F.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.