Optimal inconsistency repairing of pairwise comparison matrices using integrated linear programming and eigenvector methods
type: Item
instance of: scholarly article
title: Optimal inconsistency repairing of pairwise comparison matrices using integrated linear programming and eigenvector methods
zbMATH Open document ID: 1407.90221
DOI: 10.1155/2014/989726
author: Aicha Sekhari
author: Yacine Ouzrout
author: Abdelaziz Bouras
author: Haiqing Zhang
published in: Mathematical Problems in Engineering
publication date: 2019-02-08T00:00:00Z
review text: Summary: Satisfying consistency requirements of pairwise comparison matrix (PCM) is a critical step in decision making methodologies. An algorithm has been proposed to find a new modified consistent PCM in which it can replace the original inconsistent PCM in analytic hierarchy process (AHP) or in fuzzy AHP. This paper defines the modified consistent PCM by the original inconsistent PCM and an adjustable consistent PCM combined. The algorithm adopts a \textit{segment tree} to gradually approach the greatest lower bound of the distance with the original PCM to obtain the middle value of an adjustable PCM. It also proposes a theorem to obtain the lower value and the upper value of an adjustable PCM based on two constraints. The experiments for crisp elements show that the proposed approach can preserve more of the original information than previous works of the same consistent value. The convergence rate of our algorithm is significantly faster than previous works with respect to different parameters. The experiments for fuzzy elements show that our method could obtain suitable modified fuzzy PCMs.
Mathematics Subject Classification ID: 90B50
Mathematics Subject Classification ID: 90C05
Mathematics Subject Classification ID: 90C70
zbMATH DE Number: 7017797
Wikidata QID: Q59071475
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/989726
OpenAlex ID: W2017361160
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description: scientific article; zbMATH DE number 7017797