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1. That is to say transfinite set theory interpreted geometrically.

2. Attribute reduction a kernel part of rough set theory.

3. Aim To establish a generalized model of rough set theory based on quasi order relation.

4. Then discusses the attributes reduction based on Rough Set theory and set covering problem to combine them.

5. The classic rough set theory is based on equivalent relation, but rough set theory based on similar relation has wide applications in real world.

6. Basic concept of rough set theory is presented, including equivalent relationship and conditional information quantity.

7. Based on computational geometry and set theory, a vector algorithm for getting the Intersection set of two complex polygons is put forward in this paper.

8. Fuzzy rough set theory is an effective tool for reduction of data dimension, but there are few dimension reduction algorithms that are based on fuzzy rough set theory so far.

9. The measurement in set theory, the properties of Metric Space, Measurement Topology, Measurable Space, Perfect Metric Space and its application in first order circuit are explored in this paper.

10. In rough set theory, reduction is analyzed in inconsistent decision table.

11. In recent years, the fuzzy set theory has been widely used in educational grading systems.

12. So we can do some work on rough set theory by concept lattice method.

13. Similarly, every paradoxical sentence causing a typical set theory paradox involve inexistent object. If only disconfirming the presupposition of existence[sentencedict.com], those paradoxes will be also resolved.

14. Based on fuzzy set theory, the multi - sensor data amalgamation adopted fuzzy set theory to with data.

15. The fuzzy classification system is an important application of the fuzzy set theory.

16. Rough set-based method of combinatory logic optimization was presented by using knowledge expression of logic function with rough set theory, and its corresponding algorithm was given, also.

17. Grammar study informs an analysis of the metaphorical cross-reference mapping and it has formed a base for the application of prototype set theory to its processes of analysis in cognitive semantics.

18. The equivalence relation is the basic Concept of the rough set theory.

19. A query algorithm with a high absolute speed costing low I/O based on set theory is given, and a query algorithm of high response speed based on parallel process is presented.

20. The main issues addressed are uncertain knowledge representation and approximate reasoning based on fuzzy set theory.

21. In succession, the technology of incremental data mining based on Rough Set theory is worked over.

22. Discuss the possibility and necessity of the application of Rough set theory in uncertain managerial decision.

23. This paper introduces a technique to acquire knowledge from related database. The technique based on set theory and conceptualism can especially be applied to decision and reasoning expert system.

24. In the paper[sentencedict.com], we make a new inductive learning approach to knowledge representation system based on rough set theory.

25. So, they try to prove axiom and also established similarly two new opposite field: non-Cantor's set theory and non-Euclidean geometries.

26. Data reduction is one of important research issue in rough set theory.

27. For decision table (DT) with reduplicate and conflictive objects, a rule acquisition approach based on rough set theory (RST) is presented, which makes the rules acquired cover all the objects in DT.

28. Defines the concept of well sets in MS ( axiomatic medium set theory ) and discusses its characters.

29. This tactics carry out data compaction on data samples and extract initial diagnostic rule by using rough set theory.

30. The output forecasting influenced by uncertain history - data of film evaporators is studied by Rough Set theory.