On reduction of morphological covering rough sets

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

Volumn 4223 LNAI, Issue , 2006, Pages 266-275

  Tingquan, Deng ^a   Yanmei, Chen ^b  

^a HARBIN ENGINEERING UNIVERSITY   (China)

^b HARBIN INSTITUTE OF TECHNOLOGY   (China)

Author keywords

Adjunction; Morphological covering; Morphological operators; Reduction; Rough set

Indexed keywords

APPROXIMATION THEORY; CHARACTERIZATION; MATHEMATICAL MORPHOLOGY; MATHEMATICAL OPERATORS; REDUCTION;

ADJUNCTION; DUAL OPERATORS; MORPHOLOGICAL COVERING; MORPHOLOGICAL OPERATORS;

ROUGH SET THEORY;

EID: 33750561866     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: None     Document Type: Conference Paper

References (12)

1. Bloch, I.: On links between mathematical morphology and rough sets. Pattern Recognition 33 (2000) 1487-1496
2. Gomolinska, A.: A comparative study of some generalized rough approximations. Fundamenta Informaticae 51 (2002) 103-119
3. Heijmans, H.: Morphological Image Operators. Academic Press, Boston (1994)
4. Matheron, G.: Random Sets and Integral Geometry. John Wiley & Sons, New York (1975)
5. Pawlak, Z.: Rough sets. International Journal of Computer and Information Sciences 11 (1982) 341-356
6. Polkowski, L.T.: Rough set approach to mathematical morphology, approximate compression data. In Proceedings of Information Processing and Management of Uncertainty, Paris (1998) 1183-1189
7. Serra, J.: Image Analysis and Mathematical Morphology. Academic Press, London (1982)
8. Slowinski, R., Vanderpooten, D.: A generalized definition of rough approximations based on similarity. IEEE Transactions on Knowledge and Data Engineering 12 (2000) 331-336
9. Soille, P.: Morphological Image Analysis. 2nd edn. Springer-Verlag, Heidelberg (2003)
10. Wu, W.-Z., Zhang, W.-X.: Neighborhood operator systems and approximations. Information Sciences 144 (2002) 201-217
11. Yao, Y.Y.: Relational interpretations of neighborhood operators and rough set approximation operators. Information Sciences 111 (1998) 239-259
12. Zhu, W., Wang, F.-Y.: Reduction and axiomization of covering generalized rough sets. Information Sciences 152 (2003) 217-230