Aggregation in the analytic hierarchy process: Why weighted geometric mean should be used instead of weighted arithmetic mean

Krejčí, Jana; Stoklasa, Jan

doi:10.1016/j.eswa.2018.06.060

Cited by 125 publications

(70 citation statements)

References 27 publications

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“…In the case of the uncertainty level, the involvement of a great number of DMs may reduce uncertainty (Dede et al, 2015) and rank reversal can be avoided. Moreover, the rank reversal caused by a weight deriving method could be avoided by applying the geometric mean aggregation (Krejčí & Stoklasa, 2018;Leskinen & Kangas, 2005). In contrast to earlier findings, however, Franek & Kresta (2014) showed that no evidence of rank reversal was detected because of alternative preference scales.…”

Section: Introductionmentioning

confidence: 61%

An integrated constrained fuzzy stochastic analytic hierarchy process method with application to the choice problem

Sitorus

Cilliers

2019

Expert Systems with Applications

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The ability of the Analytical Hierarchy Process (AHP) when applied to the choice problem in the context of group decision making under uncertainty has been often criticised. AHP is not able to fully capture the various opinions and the uncertainty associated with the lack of information. This work develops an integrated constrained fuzzy stochastic analytic hierarchy process (IC-FSAHP) method in order to deal with the aforementioned drawbacks. IC-FSAHP combines two existing fuzzy AHP (FAHP) methods and further extends its applicability by implementing stochastic simulations. A case study has been conducted in order to assess the ability of IC-FSAHP; the results showed that IC-FSAHP is able to capture the uncertainty and multiple DMs' opinions. This paper also discusses the effect that the number of DMs has in enhancing rank discrimination. Besides, the possibility of the occurrence of rank reversal because of the use of IC-FSAHP has been analysed. The results showed that the ranking of alternatives was preserved throughout the changes in the number of alternatives, however, rank reversal occurred in the case of changes in judgements scales. By comparing the U-uncertainty in fuzzy global priorities obtained using IC-FSAHP to that obtained using an existing FSAHP method, we show that our method is capable of minimising the risk of losing important knowledge during the computations. We also discuss how IC-FSAHP can decrease the uncertainty and increase the reliability of the decisions by means of robust computations.

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Section: Introductionmentioning

confidence: 61%

An integrated constrained fuzzy stochastic analytic hierarchy process method with application to the choice problem

Sitorus

Cilliers

2019

Expert Systems with Applications

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“…In detail, local priorities of objects are derived according to the eigenvalue approach to pairwise comparisons and then aggregated within the hierarchy in order to derive global priorities. We implemented the weighted geometric mean aggregation method in the computation of the global priorities as it reflects the preference information contained in local pairwise comparison matrices of alternatives properly [66]. In order to obtain the priority vectors and the final ranking, we implemented the A'WOT model in the Super Decision software.…”

Section: Resultsmentioning

confidence: 99%

An Application of the A’WOT Analysis for the Management of Cultural Heritage Assets: The Case of the Historical Farmhouses in the Aglié Castle (Turin)

2020

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In recent years, governments, public institutions, and local communities have devoted growing attention to the identification of promising strategies for the preservation and valorization of cultural heritage assets. Decisions on the management of cultural heritage assets based on multiple, often conflicting, criteria and on the stakes of various, and potentially non-consensual actors and stakeholders. In this context, in which the trade-offs between the preservation of assets historical symbolic values and the adaptation to alternative and economically profitable uses play a key role in investment decisions, multi-criteria analyses provide robust theoretical and methodological frameworks to support decision-makers in the design and implementation of adaptive reuse strategies for cultural heritage and public real estate assets. In this paper, we provide a multi-criteria decision aiding approach for ranking valorization strategies of cultural heritage assets aimed at promoting their restoration and conservation, as well as at creating cultural and economic benefits. In detail, we present a novel application of the A’WOT analysis to support the design and implementation of alternative management strategies of abandoned cultural heritage assets. The paper focuses on the potential reuse and management of four historical farmhouses (Cascina Mandria, Cascina Lavanderia, Cascina Gozzani, and Cascina Ortovalle) located in the Agliè Castle estate, one of the Residences of the Royal House of Savoy, currently listed in the UNESCO World Heritage Sites.

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“…Using AHP, the decision makers can make pure pairwise judgments to reach the overall priorities for the alternatives [158,159]. Because of its simplicity, ease of use, and great flexibility, the AHP has been studied extensively and used in nearly all applications related to MCDM since its development [160][161][162][163].…”

Section: Literature Reviewmentioning

confidence: 99%

An integrated Multi-Criteria Decision Making Model for Sustainability Performance Assessment for Insurance Companies

et al. 2020

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To stay competitive in a business environment, continuous performance evaluation based on the triple bottom line standard of sustainability is necessary. There is a gap in addressing the computational expense caused by increased decision units due to increasing the performance evaluation indices to more accuracy in the evaluation. We successfully addressed these two gaps through (1) using principal component analysis (PCA) to cut the number of evaluation indices, and (2) since PCA itself has the problem of merely using the data distribution without considering the domain-related knowledge, we utilized Analytic Hierarchy Process (AHP) to rank the indices through the expert’s domain-related knowledge. We propose an integrated approach for sustainability performance assessment in qualitative and quantitative perspectives. Fourteen insurance companies were evaluated using eight economic, three environmental, and four social indices. The indices were ranked by expert judgment though an analytical hierarchy process as subjective weighting, and then principal component analysis as objective weighting was used to reduce the number of indices. The obtained principal components were then used as variables in the data envelopment analysis model. So, subjective and objective evaluations were integrated. Finally, for validating the results, Spearman and Kendall’s Tau correlation tests were used. The results show that Dana, Razi, and Dey had the best sustainability performance.

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Aggregation in the analytic hierarchy process: Why weighted geometric mean should be used instead of weighted arithmetic mean

Cited by 125 publications

References 27 publications

An integrated constrained fuzzy stochastic analytic hierarchy process method with application to the choice problem

An integrated constrained fuzzy stochastic analytic hierarchy process method with application to the choice problem

An Application of the A’WOT Analysis for the Management of Cultural Heritage Assets: The Case of the Historical Farmhouses in the Aglié Castle (Turin)

An integrated Multi-Criteria Decision Making Model for Sustainability Performance Assessment for Insurance Companies

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