Complementary judgment matrix method with imprecise information for multicriteria decision-making
type: Item
instance of: scholarly article
title: Complementary judgment matrix method with imprecise information for multicriteria decision-making
zbMATH Open document ID: 1427.90185
DOI: 10.1155/2018/3695627
author: Risto Lahdelma
author: Pekka Salminen
author: Haichao Wang
published in: Mathematical Problems in Engineering
publication date: 2019-02-08T00:00:00Z
review text: Summary: The complementary judgment matrix (CJM) method is an MCDA (multicriteria decision aiding) method based on pairwise comparisons. As in AHP, the decision-maker (DM) can specify his/her preferences using pairwise comparisons, both between different criteria and between different alternatives with respect to each criterion. The DM specifies his/her preferences by allocating two nonnegative comparison values so that their sum is 1. We measure and pinpoint possible inconsistency by \textit{inconsistency errors}. We also compare the consistency of CJM and AHP trough simulation. Because preference judgments are always more or less imprecise or uncertain, we introduce a way to represent the uncertainty through stochastic distributions, and a computational method to treat the uncertainty. As in Stochastic Multicriteria Acceptability Analysis (SMAA), we consider different uncertainty levels: precise comparisons, imprecise comparisons with a stochastic distribution, and missing comparisons between criteria. We compute rank acceptability indices for the alternatives, describing the probability of an alternative to obtain a given rank considering the level of uncertainty and study the influence of the uncertainty on the SMAA-CJM results.
Mathematics Subject Classification ID: 90B50
Mathematics Subject Classification ID: 90C08
zbMATH DE Number: 7018841
describes a project that uses: UTA Plus
describes a project that uses: VisualUTA
describes a project that uses: M-MACBETH
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2018/3695627
OpenAlex ID: W2898008516
Wikidata QID: Q110866039
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description: scientific article; zbMATH DE number 7018841