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, 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, 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.

31. Finally we give the interpretation of possibility theory in rough set theory, then present a couple conversion algorithm between rough set and fuzzy set.

32. As a new mathematical tool, rough set theory show great vitality.

33. Faults are analyzed by means of an improved fault tree analysis, and several fault trees are built for every kind of faults, then make down-way quantity analysis with the minimal cut set theory.

34. Based on fuzzy set theory, this paper presents a fuzzy linear programming model that is used calculating minimal unserved energy cost( UEC).

35. Non-well-founded set theory is to study circular or hyper sets.

36. Similarly, based on the medium set theory MS, the medium relational algebra can extend the capability of relational algebra.

37. The data studied by concept lattice theory and rough set theory are expressed by information system and formal context respectively.

38. This paper focus on the two systemized and influential atonality theories, the symmetry theory and the picth class set theory.

39. This paper has studied an effective intelligent decision method based on rough set theory and neural network.

40. Based on inclusion exclusion principle of set theory, a new algorithm to calculate the whole projective area was put forward to those overlapped complex geometrical objects in any direction.

41. The new method and decision model of oxygen -making machine production program are put forward based on set theory.

42. To obtain knowledge and data from incomplete decision table(IDT), the paper presents a new doubly variable precision limited tolerance rough set theory model(VPLTRST).

43. A newly developed mathematical approach, i. e. , the rough set theory, is used to research the mid- and long-term load forecasting considering the influence of data uncertainty.

44. At present, the study of criminal network analysis is based on the classical set theory, and which can not find members who have ambiguous class attribute in the criminal network.

45. Mathematical programming is one of the areas to which fuzzy set theory has been applied extensively.

46. The second section introduces the main idea of Rough Set theory.

47. This paper will apply fuzzy set theory to construct optimum output quantity decision model based on the goal of pursuit the maximum profits of duopoly market.

48. Applying Rough Set Theory RST, useful knowledge or rules can be extracted from original data.

49. In this paper the principle of the set theory is applied to investigate into the fundamentals for a proper classification of accounts.

50. With assembly model organized in hierarchical and relational mode, the problem of automatically generating assembly and disassembly sequence is explored using cut set theory.

51. A method of knowledge expression on based rough set theory for logic function is proposed. A minimization algorithm of simplifying logic function by using rough set is given.

52. See the present debate led by Rodych on Wittgensteins criticisms of transfinite set theory.

53. Matter-element model is a new kind of model-building method based on matter-element theory and extension set theory, which discusses the extensibility of matters and their extension laws.

54. The ventilation index system is deduced by using heuristic algorithm on basis of rough set theory.

55. Based on fuzzy set theory, we bring forward a new concept: similarity degree of waveforms,[http:///set theory.html] and use fuzzy pattern identification method to classify ECG waveforms.

56. The Rough Set Theory can handle such problems as data reduction, data mining, the evaluation of attribute importance, the formation of decision algorithm etc.

57. Rough set theory is a new mathematical tool to deal with vagueness and Uncertainty problem after probability theory , fuzzy sets, mathematical theory of evidence .

58. On this bases, similar matrix and similar interval are proposed in combination with rough set theory. They are useful in knowledge partition problem in incomplete information system.

59. Rough set theory is a new math tool in dealing with fuzzy and uncertain knowledge.

60. RDBMS is based on firm mathematics set theory with simple and clear data structure, and powerful query function, so it has become the basic technology for realization of information system.

61. The application of Rough Set theory in designing clustering algorithm is discussed in the second section.

62. The theory support of ethnics is matter - element theory and extension set theory.

63. People use fuzzy math as a tool to study fuzzy. We introduced the "membership" in classical fuzzy set theory to better deal with the ambiguity problem in artificial intelligence.

64. The arithmetic based on the set theory analyzes the satiable conditions of all type of paper generating request, and gives out the implementation.

65. Rough set theory is a tool to deal with vagueness and uncertainty. Reduction of data is one of the most important topics in the research on rough set theory.

66. In this paper, we prove that there is an inconsistency in any infinite set of the classical set theory or the modern axiomatic set theory.

67. Finally, based on the fuzzy set theory, a distance function can measure similarity of color histogram.

68. Both rough set theory and evidence theory are the math tools for dealing with uncertain knowledge.

69. It mainly introduces basic concepts and basic methods in logic, set theory, algebraic system and graph theory.

70. This article applies the Fuzzy Set Theory to the analysis of test scores and proposes a feasible and effective approach to the assessment of the general distribution of test scores.

71. In classical set theory, an ordinary set is a unified whole which is composed of some elements.

72. Also it shows that the causal strength of the causal network model can be derived from the information table by utilizing rough set theory.

73. Based on rough set theory, a rule inference approach of integrating the importance of attributes with the emergence frequency of attribute value is proposed.

74. The strategy model of international competitive bidding is built on the basis of fuzzy set theory, and it is a very applicable for international project contractors.

75. Rough set theory is a new mathematical approach to deal with vagueness and uncertainty.

76. In the paper, the set theory is applied to the study of the test case of black box testing.

77. The universal set seemed extremely natural and obvious, yet ultimately several paradoxes of set theory were traced to the assumption that it existed(), which mathematicians now know is flawed.

78. The attributes reduction and decision rule generation are the kernel contents of rough set theory.

79. Rough set theory has been successfully applied in data discretization.

80. Extension AHP is based on the extension set theory, researching how to structure AHP matrix when the relative importance of the degree is uncertain.

81. Mathematical logic is an extension of symbolic logic into other areas, in particular to the study of model theory, proof theory, set theory, and recursion theory.

82. Rough Set theory is a new mathematic tool to deal with fuzzy and uncertain knowledge.

83. On the basis of matter-element theory, extension set theory and dependent function calculation, a matter-element model calculating procedure is proposed.

84. Under the instruction of the theory, this paper proposes a newdecision tree pruning approach based on rough set theory.

85. Since the decision-making methods of conventional rough set can't give the approving classification to new instance, a new concept learning method has been proposed based on rough set theory.

86. Rough set theory is a newly developed mathematical tool for dealing with uncertain knowledge.

87. After generalized goal programming model is established, FGGP with fuzzy goal sets and fuzzy parameters are studied, the solving methods using fuzzy set theory for FGGP are provided.

88. The mechanism was based on CBR and combined Fuzzy set theory and SCBR ( secondary - CBR ) together.

89. The Object oriented Model is built on methodology, while the relational data model is on basis of the set theory. The difference principal between the two models leads to the dispatch problem.

90. And then the Boolean matrix representation of rough set theory in decision table based on the relationship is given.

91. Now, Rough Set theory is becoming a new hotspot of artificial intelligence domain. More and more scholar focuse on the incremental data mining technology based on rough set theory.

92. In this paper, the reachability problems of target set and target tube as well as the estimation problems of the states of uncertain systems have been discussed by the application of the set theory.

93. First he used causal partially ordered set theory and transfinite groups.

94. A set theory based method was developed to analyze parallel mechanism motion accuracies with a known error space represented by a vector set.

95. A dyn amic fuzzy evaluation model is created a discrete MARKOV process and fuzzy set theory.

96. Rough Set Theory is another mathematical tool used for dealing with fuzzy and uncertain knowledge besides Probability Theory,[] Fuzzy Set Theory and Evidence Theory.

97. The problem is akin to what happened in early set theory.

98. To avoid the subjectiveness of experts in extracting diagnosis rules, rough set theory is introduced into extracting diagnosis rules.

99. This paper gives a model for Tactical Data Link (TDL) based on set theory. With the TDL model, the influence of DC in agility and damage resistance of the system are discussed.

100. In this paper, fuzzy recognition technology is applied by means of fuzzy set theory to present an on-line fuzzy recognition method for boiler energy-loss pattern, and simulation test was made.