A Study Regarding Solution of a Knowledge Model Based on the Containing-Type Error Matrix Equation

Xilin Min, Kaizhong Guo, Jize Huang

School of management, Guangdong University of Technology, Guangzhou, China.

DOI: 10.4236/eng.2012.48063                

Abstract

An error matrix equation based on error matrix theory was presented in previous research of the error-eliminating theory. The purpose of solving the error matrix equation is to create a decision support on how to switch from bad to good status. A matrix based on error logic is used to express current status u, expectant status u1 and transformation matrix T. It is u, u₁, and T that are used to build error matrix equation T (u)= u₁. This allows us to find a method whereby bad status “u” changes to good status “u₁” by solving the equation. The conversion method that transform from current to expectant status can be obtained from the transformation matrix T. On this basis, this paper proposes a new kind of error matrix equation named “containing-type error matrix equation”. This equation is more suitable for analyzing the realistic question. The method of solving, existence and form of solution for this type of equation have been presented in this paper. This research provides a potential useful new technique for decision analysis.

Keywords

Error Matrix; Set Equation; Containing-Type Error Matrix Equation; Knowledge Model

Conflicts of Interest

The authors declare no conflicts of interest.

References

[1]	K. Z. Guo and S. Y. Liu, “Introduction for the Theory of Error-Eliminating,” Advances in Modelling & Analysis A: Mathematical, General Mathematical Modelling, Vol. 39, No. 4, 2002, pp. 39-66.
[2]	K. Z. Guo and S. Q. Zhang, “Theory of Error Sets,” Central South University Press, Changsha, 2001.
[3]	K. Z. Guo, “Error Logic,” Science Press, Beijing, 2008.
[4]	K. Z. Guo and S. Y. Liu, “Fuzzy Error System with Change of Time and Space—The Effect of Change of Time and Space on Decision Making,” Advances in Modeling and Analysis B, Vol. 45, No. 3, 2002, pp. 49-60.
[5]	K. Z. Guo and S. Y. Liu, “Logical Relationship between Fuzzy Error Logical Decomposition Words and a Pre-Decomposed No Words,” Advances in Modelling & Analysis A: Mathematical, General Mathematical Modelling, Vol. 39, No. 4, 2002, pp. 1-15.
[6]	K. Z. Guo and S. Y. Liu, “Exploration and Application of Redundancy System in decision Making Relation between Fuzzy Error Logic Increase Transformation Word and Connotative Model Implication Word,” Advances in Modelling & Analysis A: Mathematical, General Mathematical Modelling, Vol. 39, No.4, 2002, pp. 17-27.
[7]	M. Li and K. Z. Guo, “Research on Decomposition of Fuzzy Error Set,” Advances in Modelling & Analysis A: Mathematical, General Mathematical Modelling, Vol. 43, No.2, 2006, pp. 15-26.
[8]	X. L. Min, K. Z. Guo, “Knowledge Model Based on Error Logic for Intelligent System,” World Congress on Computer Science and Information Engineering, Los Angeles, 31 March-2 April 2009, pp. 216-220.
[9]	X. L. Min, K. Z. Guo, “A Knowledge Discovery Method Based on Error Matrix Equation,” The Sixth International Conference on Fuzzy Systems and Knowledge Discovery, Tianjin, 14-16 August 2009 pp. 151-155. doi:10.1109/FSKD.2009.104
[10]	X. L. Min, K. Z. Guo, “A Primary Probe on the Application of Error-Eliminating Theory in Urban Traffic Jam Management System,” Advances in Systems Science and Applications, Vol. 9, No. 3, 2009, pp. 486-493.