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An Integrated Methodology of Rough Set Theory and Grey System for Extracting Decision Rules

초록

영어

Grey system theory and rough set theory are two different mathematical tools that are used to deal with uncertain or incomplete information, and yet they are relevant and complementary to a certain degree. The appropriate hybrid of the two theories can overcome the shortages of their definitions and applications and thus has more powerful functions. This paper proposes An Integrated Methodology that extracting decision rules based on combining grey system and rough set theory. The effectiveness of the proposed methodology was verified by application of this methodology to discover grade rules of electrical transformer evaluation.

목차

Abstract
 1. Introduction
 2. Basic Concepts of Rough Sets Theory
  2.1. Information System and Indiscernibility Relation
  2.2. Approximations
  2.3. Reduction of Attributes
 3. The Basic Concepts of the Grey System Theory
  3.1. Grey Number
  3.2. Whitening of Grey Number
  3.3. Grey Degree
 4. The Algorithm Structure
 5. Case Study
 6. Conclusion
 Acknowledgements
 References

저자정보

  • Hossam A. Nabwey Department of Mathematics, Faculty of Science, Salman Bin Abdulaziz University, Department of Engineering Basic science, Faculty of Engineering, Menofia University
  • Mahdy S. El-Paoumy Department of Mathematics, Faculty of Science, Salman Bin Abdulaziz University, Department of Mathematics, Faculty of Commerce, Alazhar University

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