Hierarchy on multigranulation structures: A knowledge distance approach

International Journal of General Systems

Volumn 42, Issue 7, 2013, Pages 754-773

  Yang, Xibei ^a,b   Song, Xiaoning ^a,b   She, Yanhong ^c   Yang, Jingyu ^b  

^a JIANGSU UNIVERSITY OF SCIENCE AND TECHNOLOGY   (China)

^b NANJING UNIVERSITY OF SCIENCE AND TECHNOLOGY   (China)

^c XI'AN SHIYOU UNIVERSITY   (China)

Author keywords

granular computing; hierarchy; knowledge distance; lattice; multigranulation structure; uncertainty

Indexed keywords

HIERARCHY; KNOWLEDGE DISTANCE; LATTICE; MULTIGRANULATION STRUCTURES; UNCERTAINTY;

GRANULAR COMPUTING; INFORMATION SYSTEMS; SYSTEMS SCIENCE;

ALGEBRA;

EID: 84880257720     PISSN: 03081079     EISSN: 15635104     Source Type: Journal    
DOI: 10.1080/03081079.2013.810625     Document Type: Article

References (40)

1. Abu-Donia, G. M. 2012. Multi Knowledge Based Rough Approximations and Applications. Knowledge-Based Systems, 26 (1): 20-29.
2. Bargiela, A., and, Pedrycz, W. 2005. Granular Mappings. IEEE Transactions on Systems, Man and Cybernetics, Part A, 35 (2): 288-301.
3. Chen, Y. H., and, Yao, Y. Y. 2008. A Multiview Approach for Intelligent Data Analysis Based on Data Operators. Information Sciences, 178 (1): 1-20.
4. Düntsch, I., and, Gediga, G. 1998. Uncertainty Measures of Rough Set Prediction. Artificial Intelligence, 106 (1): 109-137. (Pubitemid 128402352)
5. Hu, Q. H., Yu, D. R., Xie, Z. X., and, Liu, J. F. 2006. Fuzzy Probabilistic Approximation Spaces and Their Information Measures. IEEE Transactions on Fuzzy Systems, 14 (2): 191-201.
6. Khan, M. A., and, Banerjee, M. 2008. Formal Reasoning with Rough Sets in Multiple-Source Approximation Systems. International Journal of Approximate Reasoning, 49 (2): 466-477.
7. Liang, J. Y., Chin, K. S., Dang, C. Y., and, Wierman, M. J. 2002. A New Method for Measuring Uncertainty and Fuzziness in Rough Set Theory. International Journal of General Systems, 31 (4): 331-342. (Pubitemid 41623247)
8. Liang, J. Y., Shi, Z. Z., Li, D. Y., and, Richard, CMYAM. 2006. The Information Entropy, Rough Entropy and Knowledge Granulation in Incomplete Information Systems. International Journal of General Systems, 35 (6): 641-654.
9. Lin, T.Y. 2009a. "Granular Computing: Practices, Theories, and Future Directions". In Encyclopedia on Complexity of Systems Science, edited by Robert A. Meyers, 4339-4355. Heidelberg: Springer.
10. Lin, T. Y. 2009. Granular Computing I: The Concept of Granulation and its Formal Model. International Journal of Granular Computing, Rough Sets and Intelligent Systems, 1 (1): 21-42.
11. Lin, T. Y., and, Zadeh, L. A. 2008. Foreword to the Special Section on Granular Computing. IEEE Transactions on Fuzzy Systems, 16 (2): 282-284.
12. Lin, G. P., Qian, Y. H., and, Li, J. J. 2012. NMGRS: Neighborhood-based Multigranulation Rough Sets. International Journal of Approximate Reasoning, 53 (7): 1080-1093.
13. Liu, G. L., and, Sai, Y. 2009. A Comparison of Two Types of Rough Sets Induced by Coverings. International Journal of Approximate Reasoning, 50 (3): 521-528.
14. Min, F., He, H. P., Qian, Y. H., and, Zhu, W. 2011. Test-cost-sensitive Attribute Reduction. Information Sciences, 181 (22): 4928-4942.
15. Pawlak, Z. 1991. Rough sets-theoretical aspects of reasoning about data. Dordrecht: Kluwer Academic Publishers.
16. Pedrycz, W., and, Bargiela, A. 2002. Granular Clustering: A Granular Signature of Data. IEEE Transactions on Systems, Man and Cybernetics Part B, 32 (2): 212-224. (Pubitemid 34249380)
17. Qian, Y. H., and J. Y. Liang. 2006a. "Rough Set Method Based on Multi-granulations". 5th IEEE International Conference on Cognitive Informatics, 297-304.
18. Qian, Y. H., and, Liang, J. Y. 2006. Combination Entropy and Combination Granulation in Incomplete Information Systems. Lecture Notes in Artificial Intelligence, 4062: 184-190.
19. Qian, Y. H., Liang, J. Y., and, Dang, C. Y. 2009. Knowledge Structure, Knowledge Granulation and Knowledge Distance in a Knowledge Base. International Journal of Approximate Reasoning, 50 (1): 174-188.
20. Qian, Y. H., Liang, J. Y., and, Dang, C. Y. 2010. Incomplete Multigranulation Rough Set. IEEE Transactions on Systems, Man and Cybernetics, Part A, 40 (2): 420-431.
21. Qian, Y. H., J. Y. Liang, W. Pedrycz, and C. Y. Dang. 2010b. "Positive Approximation: An Accelerator for Attribute Reduction in Rough Set Theory." Artificial Intelligence 174 (9-10): 597-618.
22. Qian, Y. H., Liang, J. Y., Pedrycz, W., and, Dang, C. Y. 2011. An Efficient Accelerator for Attribute Reduction from Incomplete Data in Rough Set Framework. Pattern Recognition, 44 (8): 1658-1670.
23. Qian, Y. H., J. Y. Liang, and W. Wei. 2010c. Pessimistic Rough Decision. In: Second International Workshop on Rough Sets Theory, 440-449.
24. Qian, Y. H., Liang, J. Y., Wu, W. Z., and, Dang, C. Y. 2011. Information Granularity in Fuzzy Binary GrC Model. IEEE Transactions on Fuzzy Systems, 19 (2): 253-264.
25. Qian, Y. H., Liang, J. Y., Yao, Y. Y., and, Dang, C. Y. 2010. MGRS: A Multi-granulation Rough Set. Information Sciences, 180 (6): 949-970.
26. Wang, G. Y., Zhao, J., An, J. J., and, Wu, Y. 2005. A Comparative Study of Algebra Viewpoint and Information Viewpoint in Attribute Reduction. Fundamenta Informaticae, 68 (3): 289-301.
27. Wei, W., Liang, J. Y., Qian, Y. H., Wang, F., and, Dang, C. Y. 2010. Comparative Study of Decision Performance of Decision Tables Induced by Attribute Reductions. International Journal of General Systems, 39 (8): 813-838.
28. Wu, W. Z., and, Leung, Y. 2011. Theory and Applications of Granular Labelled Partitions in Multi-scale Decision Tables. Information Sciences, 181 (18): 3878-3897.
29. Wu, W. Z., and, Zhang, W. X. 2002. Neighborhood Operator Systems and Approximations. Information Sciences, 144 (1-4): 201-217.
30. Xu, W. H., Sun, W. X., Zhang, X. Y., and, Zhang, W. X. 2012. Multiple Granulation Rough Set Approach to Ordered Information Systems. International Journal of General Systems, 41 (5): 475-501.
31. Yang, X.B. 2011a. The Models of Dominance-based Multigranulation Rough Sets. 7th International Conference on Intelligent Computing, 657-664.
32. Yang, X. B., Song, X. N., Chen, Z. H., and, Yang, J. Y. 2012. On Multigranulation Rough Sets in Incomplete Information System. International Journal of Machine Learning and Cybernetics, 3 (3): 223-232.
33. Yang, X. B., Song, X. N., Dou, H. L., and, Yang, J. Y. 2011. Multi-granulation Rough Set: From Crisp to Fuzzy Case. Annals of Fuzzy Mathematics and Informatics, 1 (1): 55-70.
34. Yang, X. B., Zhang, M., Dou, H. L., Yang, J. Y. 2011. Neighborhood Systems-based Rough Sets in Incomplete Information System. Knowledge-based Systems, 24 (6): 858-867.
35. Yang, X. B., and J. Y. Yang. 2012b. Incomplete Information System and Rough Set Theory: Models and Attribute Reductions. Beijing: Science Press & Springer.
36. Yao, Y. Y. 2001. Information Granulation and Rough Set Approximation. International Journal of Intelligent Systems, 16 (1): 87-104. (Pubitemid 32089958)
37. Yao, Y. Y. 2008. Granular Computing: Past, Present and Future. 2008 IEEE International Conference on Granular, Computing, 80-85.
38. Zadeh, L. A. 1996. Fuzzy Logic = Computing with Words. IEEE Transactions on Fuzzy Systems, 4 (2): 103-111. (Pubitemid 126780540)
39. Zadeh, L. A. 1997. Toward a Theory of Fuzzy Information Granulation and its Centrality in Human Reasoning and Fuzzy Logic. Fuzzy Sets and Systems, 90 (2): 111-127. (Pubitemid 127683681)
40. Zhang, L., and, Zhang, B. 2004. The Quotient Space Theory of Problem Solving. Fundamenta Informaticae, 59 (2-3): 287-298.