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논문검색

Study of Multi-attribute Comprehensive Evaluation Method Based on Attribute Theory

초록

영어

The study of Comprehensive Evaluation Model of Attribute Theory has gained fruitful achievements in both theory and practice. But the current preference curve of evaluator is assumed to be a smooth quadratic equation which fails to well reflect the change of evaluator’s preference when indicators increase. After analyzing the principle of comprehensive evaluation model, this paper does simulation experiments to prove the rationality of the preference curve. By increasing the interpolation points and comparing the evaluator’s preference curves respectively generated by the polynomial interpolation and cubic spline interpolation, a conclusion is reached that cubic spline interpolation is better than the polynomial interpolation, and 4 full-score hyperplanes are to be adopted to get the most rational curve to reflect the change of evaluator’s preference. The main contributions of this paper are the analysis of the rationality of different preference curves under comprehensive evaluation model based on the attribute theory and the finding that the most reasonable curve depend on the selection of different hyperplane S2.

목차

Abstract
 1. Introduction
 2. Overview of Comprehensive Evaluation Method Based on Attribute Theory
 3. Establishment of Multi-attribute Comprehensive Evaluation Model Based on Attribute Theory
  3.1 Local Most Satisfactory Solution under Certain Restrictive Conditions
  3.2 Determination of Local Most Satisfactory Linear Solution L(b({xh(z)}))
  3.3 Calculation of Global Satisfaction
 4. The Study of Accuracy of Preference Curve
  4.1 The Influence of Different Hyperplane S2 on the Barycentric Curve
  4.2 The Influence of Adopting More Hyperplanes on the Preference Curve
 5. Conclusion
 References

저자정보

  • Xu Guanglin College of Mathematics and Information, Shanghai Lixin University of Commerce, Shanghai China
  • Liu Nianzu College of Mathematics and Information, Shanghai Lixin University of Commerce, Shanghai China
  • Duan Xueyan College of Economics and Management, Shanghai Maritime University, Shanghai, China

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