Title
Simulation Experiments For Improving The Consistency Ratio Of Reciprocal Matrices
Abstract
The consistency issue is one of the hot research topics in the analytic hierarchy process (AHP) and analytic network process (ANP). To identify the most inconsistent elements for improving the consistency ratio of a reciprocal pairwise comparison matrix (P CM), a bias matrix can be induced to efficiently identify the most inconsistent elements, which is only based on the original PCM. The goal of this paper is to conduct simulation experiments by randomly generating millions numbers of reciprocal matrices with different orders in order to validate the effectiveness of the induced bias matrix model. The experimental results show that the consistency ratios of most of the random inconsistent matrices can be improved by the induced bias matrix model, few random inconsistent matrices with high orders failed the consistency adjustment.
Year
DOI
Venue
2014
10.15837/ijccc.2014.4.1165
INTERNATIONAL JOURNAL OF COMPUTERS COMMUNICATIONS & CONTROL
Keywords
Field
DocType
Reciprocal random matrix, Consistency ratio, induced bias matrix, simulation experiment, analytic hierarchy process (AHP)/analytic network process (ANP)
Data mining,Reciprocal,Matrix model,Computer science,Matrix (mathematics),Algorithm,Analytic network process,Artificial intelligence,Pairwise comparison matrix,Analytic hierarchy process,Machine learning
Journal
Volume
Issue
ISSN
9
4
1841-9836
Citations 
PageRank 
References 
1
0.35
9
Authors
4
Name
Order
Citations
PageRank
Daji Ergu137315.27
Gang Kou22527191.95
Yi Peng3130378.20
Xinfeng Yang420.71