Simulation Experiments for Improving the Consistency Ratio of Reciprocal Matrices

  • Daji Ergu Southwest University for Nationalities 4th Section,Yihuan Nanlu,Chengdu, 610041, China,
  • Gang Kou School of Business Administration Southwestern University of Finance and Economics No.555, Liutai Ave, Wenjiang Zone,Chengdu, 610054, China
  • Yi Peng School of Management and Economics University of Electronic Science and Technology of China No.2006, Xiyuan Ave, West Hi-Tech Zone, Chengdu, 611731, China
  • Xinfeng Yang School of Statistics, Southwestern University of Finance and Economics No.555, Liutai Ave, Wenjiang Zone, Chengdu, 610054, China,

Abstract

The consistency issue is one of the hot research topics in the analytichierarchy process (AHP) and analytic network process (ANP). To identify the mostinconsistent elements for improving the consistency ratio of a reciprocal pairwisecomparison matrix (PCM), a bias matrix can be induced to efficiently identify themost inconsistent elements, which is only based on the original PCM. The goal of thispaper is to conduct simulation experiments by randomly generating millions numbersof reciprocal matrices with different orders in order to validate the effectiveness ofthe induced bias matrix model. The experimental results show that the consistencyratios of most of the random inconsistent matrices can be improved by the inducedbias matrix model, few random inconsistent matrices with high orders failed theconsistency adjustment.

Author Biography

Daji Ergu, Southwest University for Nationalities 4th Section,Yihuan Nanlu,Chengdu, 610041, China,
Department of Mathematics and Computer Science

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Published
2014-06-15
How to Cite
ERGU, Daji et al. Simulation Experiments for Improving the Consistency Ratio of Reciprocal Matrices. INTERNATIONAL JOURNAL OF COMPUTERS COMMUNICATIONS & CONTROL, [S.l.], v. 9, n. 4, p. 408-418, june 2014. ISSN 1841-9844. Available at: <http://univagora.ro/jour/index.php/ijccc/article/view/1165>. Date accessed: 05 july 2020. doi: https://doi.org/10.15837/ijccc.2014.4.1165.

Keywords

Reciprocal random matrix, Consistency ratio, induced bias matrix, simulation experiment; analytic hierarchy process (AHP)/analytic network process (ANP)