Analytical morphology: Mathematical morphology of decision tables

Fundamenta Informaticae

Volumn 27, Issue 2-3, 1996, Pages 255-271

  Skowron, Andrzej ^a   Polkowski, Lech ^b  

^a UNIVERSITY OF WARSAW   (Poland)

^b WARSAW UNIVERSITY OF TECHNOLOGY   (Poland)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; DATA PROCESSING; DATA STRUCTURES; DECISION TABLES; DECISION THEORY; GEOMETRY; SET THEORY;

APPROXIMATION FUNCTIONS; DATA FILTERING; DATA SET; ROUGH SET THEORY;

MATHEMATICAL MORPHOLOGY;

EID: 0030218422     PISSN: 01692968     EISSN: None     Source Type: Journal    
DOI: 10.3233/fi-1996-272312     Document Type: Article

References (21)

1. Bleau, A., deGuise, J., LeBlanc, R.: A new set of fast algorithms for mathematical morphology I; Idempotent geodesic transforms, Computer Vision Graphics and Image Processing: Image Understanding 56(2) (1992), 178-209.
2. Bleau, A., deGuise, J., LeBlanc, R.: A new set of fast algorithms for mathematical morphology II; Identification of topographic features on grayscale images, Computer Vision Graphics and Image Processing: Image Understanding 56(2) (1992), 210-229.
3. Giardina, C.R., Dougherty, E.R.: Morphological Methods in Image and Signal Processing, Prentice Hall, Englewood Cliffs, 1988.
4. Haralick, R.M., Sternberg, S., Zhuong, X.: Image analysis using mathematical morphology, IEEE Trans. Pattern Anal. Mach. Intelligence PAMI-9(1987), 532-550.
5. Heijmans, H.J.A.M., Ronse, C.: The algebraic basis of mathematical morphology I. Dilations and erosions, Computer Vision Graphics and Image Processing 50 (1990), 245-295.
6. Kodratoff, Y., Michalski, R.: Machine Learning. An AI Approach, vol. 3, Morgan Kaufmann, Palo Alto, 1993.
7. Matheron, G.: Random Sets and Integral Geometry, Wiley, New York - London, 1975.
8. Pawlak, Z.: Rough sets, International Journal of Information and Computer Science, 11 (1982), 344-356.
9. Pawlak, Z.: Rough Sets, Theoretical Aspects of Reasoning about Data, Kluwer, Dordrecht, 1991.
10. Pawlak, Z., Skowron, A.: Rough membership functions, In: Advances in the Dempster-Shafer Theory of Evidence, Yager, R.R., Fedrizzi, M., Kacprzyk, J. (eds.), Wiley, New York 1994, 251-271.
11. Pawlak, Z., Skowron, A.: A rough set aproach to decision rules generation, Warsaw University of Technology, ICS Research Report 23/93, Proc. IJCAI'93 Workshop: The Management of Uncertainty in AI, 1993.
12. Polkowski, L.T.: Mathematical morphology of rough sets, Bull. Acad. Polon. Sci., Ser. Sci. Math. 41(2) (1993), to appear.
13. Ronse, C., Heijmans, H.J.A.M.: The algebraic basis of mathematical morphology II. Openings and closings, Computer Vision Graphics and Image Processing: Image Understanding 54(1) (1991), 74-97.
14. Serra, J.: Image Analysis and Mathematical Morphology, Academic Press, New York - London, 1982.
15. Skowron, A.: A synthesis of decision rules: Application of discernibility matrix properties, Proc. of the Workshop Intelligent Information Systems, Augustow (Poland), 7-11 June, 1993.
16. Skowron, A.: Extracting laws from decision tables - a rough set approach, Proc. of the International Workshop on Rough Sets and Knowledge Discovery RSKD'93, Banff, Canada 1993, 101-104.
17. Skowron, A.: Boolean reasoning for decision rules generation, Proceedings of the 7-th International Symposium ISMIS'93, Trondheim, Norway 1993, In: J. Komorowski and Z. Ras (eds.): Lecture Notes in Artificial Intelligence, Vol.689. Springer-Verlag 1993, 295-305.
18. Skowron, A., Rauszer, C.: The discernibility matrices and functions in information systems, In: Intelligent Decision Support. Handbook of Applications and Advances of the Rough Sets Theory, R. Slowinski (ed.), Kluwer, Dordrecht, 1992, 331-362.
19. Song, J., Delp, E. J.: The analysis of morphological filters with multiple structuring elements, Computer Vision Graphics and Image Processing 50 (1990), 308-328.
20. Sternberg, R. S.: Grayscale morphology, Computer Vision Graphics and Image Processing 35(3) (1986), 333-355.
21. Zadeh, L., A.: Fuzzy sets, Information and Control, 8 (965), 338-353.