Efficient weight vectors from pairwise comparison matrices

Bozóki, Sándor; Fülöp, János

doi:10.1016/j.ejor.2017.06.033

Cited by 47 publications

(27 citation statements)

References 29 publications

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“…. , 1/x n−1 ), and let K P (λ) = λI+U 1 V T 1 −ee T , with U 1 and V 1 as defined by (7). Since D is invertible, every column of the one rank matrix D adj(K P (λ max ))D −1 is a Perron eigenvector of P. For Case 2, replace U 1 by U 2 and V 1 by V 2 as defined by (8).…”

Section: Discussionmentioning

confidence: 99%

“…Blanquero, Carrizosa and Conde [4] developed LP models to test whether a weight vector is efficient. Bozóki and Fülöp [7] further developed the models and provided algorithms to improve an inefficient weight vector. Anholcer and Fülöp [2] devised a new algorithm to derive an efficient solution from an inconsistent PCM.…”

Section: Efficiency and Perturbed Pairwise Comparison Matricesmentioning

confidence: 99%

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Efficiency analysis of double perturbed pairwise comparison matrices

Ábele-Nagy

Bozóki

Rebák

2018

Journal of the Operational Research Society

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Efficiency is a core concept of multi-objective optimization problems and multi-attribute decision making. In the case of pairwise comparison matrices a weight vector is called efficient if the approximations of the elements of the pairwise comparison matrix made by the ratios of the weights cannot be improved in any position without making it worse in some other position. A pairwise comparison matrix is called double perturbed if it can be made consistent by altering two elements and their reciprocals. The most frequently used weighting method, the eigenvector method is analyzed in the paper, and it is shown that it produces an efficient weight vector for double perturbed pairwise comparison matrices.

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Section: Discussionmentioning

confidence: 99%

Section: Efficiency and Perturbed Pairwise Comparison Matricesmentioning

confidence: 99%

Efficiency analysis of double perturbed pairwise comparison matrices

Ábele-Nagy

Bozóki

Rebák

2018

Journal of the Operational Research Society

Self Cite

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“…A future research approach is to supplement the AHP method with a Pareto optimality test. Bozóki and Fülöp [57] have provided the procedure for examining Pareto optimality of the weight vectors and determining the Pareto optimal vector in the case of the non-optimal weight vectors derived from pairwise comparison matrices. Likelihood of accidents [37] Likelihood of accidents Cost…”

Section: Discussionmentioning

confidence: 99%

Application of a Sustainability Model for Assessing the Relocation of a Container Terminal: A Case Study of Kristiansand Port

2018

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Sustainable development, a new interdisciplinary paradigm, is attracting increasing attention from the global research community. It is an enhancement of sustainability principles. This study documents the findings from applying a sustainability assessment model framework by Koo and Ariaratnam (2008) for decision support in connection with the projection of major infrastructure investment in a port. The objective of this study is to support the decision-making process in a port development project and to verify the applicability of sustainability assessment using a sustainability assessment model for a terminal development project in an urban area of Scandinavia. The sustainability assessment model is based on the Analytic Hierarchy Process (AHP). A literature review of sustainability assessment models was conducted to find indicators for the AHP approach. Subsequently, a questionnaire was compiled and six decision-makers for projects in Scandinavian Ports in urban areas were selected for the case study. The hypothesis is that decision-makers of major infrastructure investment projects in publicly owned ports must adhere to sustainable development principles and support the United Nations sustainable development goals that are a call for action by all countries. When documenting a sustainable design of port projects, decision-makers use theoretical sustainability models to conceptualize features of a sustainable society. However, a major challenge for the decision-makers was that the sustainability assessment results did not show, as expected, the same results as those of three existing theoretical sustainability models. The results of the sustainability assessment model were scrutinised and benchmarked against existing theoretical sustainability models, namely: a sustainability stool, a 3-overlappingcircles model, and a 3-nesteddependencies model. The benchmark results indicate a disparity between the importance of what sustainability models describe and what is important in practice.

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“…A sensitivity analysis with the help of Monte Carlo Simulation is used [38][39][40]. In another integration model, the AHP method was used to integrate a model with the order of preference technique for similarity with the preference on ideal solution, in order to establish the efficiency of its methodology [41,42]. Besides, a hybrid model known as frequency ratio and a hybrid multi-criteria assessment (SMCE) were used to obtain more accurate results [43,44].…”

Section: Literature Reviewmentioning

confidence: 99%

Using Best Worst Method for Sustainable Park and Ride Facility Location

et al. 2020

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The Park and Ride (P&R) system is a set of facilities available to private vehicle users to transfer to public transportation in order to complete their journey. The location of the facilities is determined by the purpose for which they have been created, for example, to reduce traffic in the central business district (CBD), reduce pollution, or increase the use of public transportation. Thus, a set of six main criteria and 19 sub-criteria are considered that are particularly important for decision-makers about the location of P&R facilities in a city. In order to identify which criteria are relevant, a method belonging to the multiple criteria decision is needed. The central point of this study is to evaluate the problem of the location of the facilities of the P&R system according to the point of view of the experts. For this aim, the Best Worst Method (BWM) is adopted to estimate the location of the facilities of the P&R system. The questionnaire survey has been designed estimated by ten transport experts in the related field. The recently created BWM was conducted. The results highlighted that “accessibility of public transportation” is the most important aspect of the problem of the location of P&R facilities. The results obtained provide greater accuracy in the location of facilities problem than the pure analytic hierarchy process method (AHP).

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Efficient weight vectors from pairwise comparison matrices

Cited by 47 publications

References 29 publications

Efficiency analysis of double perturbed pairwise comparison matrices

Efficiency analysis of double perturbed pairwise comparison matrices

Application of a Sustainability Model for Assessing the Relocation of a Container Terminal: A Case Study of Kristiansand Port

Using Best Worst Method for Sustainable Park and Ride Facility Location

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