Journal ArticleDOI
Some extensions of the precise consistency consensus matrix
María Teresa Escobar,Juan Aguarón,José María Moreno-Jiménez +2 more
- Vol. 74, pp 67-77
TLDR
This paper upgrades the algorithm initially proposed for obtaining the PCCM in two ways: (i) it considers the case of different weights for the decision makers; and (ii) it strengthens the idea of consistency in the design of the algorithm.Abstract:
The Precise Consensus Consistency Matrix (PCCM) is an AHP-Group Decision Making (AHP-GDM) tool, defined by Aguaron et al. 2] and developed in a local context (a single criterion) in which the decision makers are assigned the same weights. Using the Row Geometric Mean as the prioritisation procedure, consensus is sought between the different decision makers when the modifications of their initial positions or judgements are guaranteed to be within the range of values accepted for a given inconsistency level. This paper upgrades the algorithm initially proposed for obtaining the PCCM in two ways: (i) it considers the case of different weights for the decision makers; and (ii) it strengthens the idea of consistency in the design of the algorithm. One of the drawbacks of this decisional tool is that it is sometimes impossible to achieve a complete matrix. To address this, we propose a procedure for attaining a complete common consensus judgement matrix or, at least, a matrix with the minimum number of entries that are required to derive the priorities. Finally, we compare the results obtained when applying the extensions of the PCCM with those obtained using the two traditional procedures (AIJ and AIP) usually employed in AHP-GDM. In order to do this, we use a set of indicators that measure the violations in consistency of the group pairwise matrices and the compatibility between the individuals and group positions in four cases associated with two scenarios (weighted and non-weighted decision makers) and two situations (complete and incomplete PCCMs). New method for consensus building in AHP-group decision makingMinor changes from individual pairwise comparison matricesChanges are consistent with the individual positions.Several measures to compare group consensus building methodsConsistency and compatibility of complete and incomplete group consensus matricesread more
Citations
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Journal ArticleDOI
Managing consistency and consensus in group decision making with hesitant fuzzy linguistic preference relations
Zhibin Wu,Jiuping Xu +1 more
TL;DR: This paper develops separate consistency and consensus processes to deal with HFLPR individual rationality and group rationality and introduces a possibility distribution approach and a 2-tuple linguistic model to aid the consistency improvement process in a given H FLPR.
Journal ArticleDOI
Integrating experts' weights generated dynamically into the consensus reaching process and its applications in managing non-cooperative behaviors
TL;DR: In this study, a novel consensus framework for managing non-cooperative behaviors is proposed and a self-management mechanism to generate experts' weights dynamically is presented and then integrated into the CRP.
Journal ArticleDOI
The state of the art development of AHP (1979–2017): a literature review with a social network analysis
Ali Emrouznejad,Marianna Marra +1 more
TL;DR: The pattern of development of the AHP research field is examined using social network analysis and scientometrics, and its intellectual structure is identified, and two types of networks are analysed: social networks and cognitive mapping or the network of disciplines affected by AHP.
Journal ArticleDOI
Consensus efficiency in group decision making: A comprehensive comparative study and its optimal design
TL;DR: A comprehensive review regarding the different approaches to CRP is reported, and a series of CRPs as the comparison objects are presented, and the following comparison criteria for measuring the efficiency of CPRs are proposed.
Journal ArticleDOI
A Self-Management Mechanism for Noncooperative Behaviors in Large-Scale Group Consensus Reaching Processes
TL;DR: This paper proposes a novel framework based on a self-management mechanism for noncooperative behaviors in large-scale CRPs (LCRPs) that allows penalizing the weights of the experts with nonco cooperative behaviors.
References
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Journal ArticleDOI
A model of consensus in group decision making under linguistic assessments
TL;DR: This paper presents a consensus model in group decision making under linguistic assessments, based on the use of linguistic preferences to provide individuals' opinions, and on theUse of fuzzy majority of consensus, represented by means of a linguistic quantifier.
Journal ArticleDOI
Aggregating individual judgments and priorities with the analytic hierarchy process
Ernest H. Forman,Kirti Peniwati +1 more
TL;DR: The Analytic Hierarchy Process is often used in group settings where group members either engage in discussion to achieve a consensus or express their own preferences, and it is concluded that while this method can be useful, it is applicable only in special circumstances.
Journal ArticleDOI
A note on the analysis of subjective judgment matrices
Gordon Crawford,Cindy Williams +1 more
TL;DR: In this paper, the geometric mean (GM) vector is proposed as an alternative to the eigenvector (EV) procedure for analyzing matrices of subjective estimates of the utility of one entity relative to another, which can be applied to hierarchical problems in exactly the same way but is developed from statistical considerations.
Journal ArticleDOI
Group preference aggregation methods employed in AHP: An evaluation and an intrinsic process for deriving members' weightages
TL;DR: In this article, a simple and intuitively appealing eigenvector based method was proposed to intrinsically determine the weightages for group members using their own subjective opinions, which is the most commonly used method for combining individual opinions to form a group opinion.
Journal ArticleDOI
The geometric consistency index: Approximated thresholds
TL;DR: This paper formalizes this inconsistency measure, hereafter called the Geometric Consistency Index (GCI), and provides the thresholds associated with it, which allow us an interpretation of the inconsistency tolerance level analogous to that proposed by Saaty.