A re-examination of the algebraic properties of the AHP as a ratio-scaling technique

Bernasconi, Michele; Choirat, Christine; Seri, Raffaello

doi:10.1016/j.jmp.2010.11.002

Cited by 12 publications

(5 citation statements)

References 39 publications

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“…ere are many methods to calculate the final weight vector for hierarchical analysis, among which the easiest and most commonly used method is the eigenvector method; so in this article, we choose the eigenvector as the method to calculate the weight vector and has Perron's theorem [27] as its theoretical basis.…”

Section: Analytical Hierarchy Analysis To Determine Thementioning

confidence: 99%

Research on the Optimization Technology of Mechanical Product Design Plan Based on Fuzzy Comprehensive Evaluation Analysis Method

Wang

Cao

Qiao

et al. 2022

Scientific Programming

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In the scheme design stage of mechanical products, several design solutions need to be evaluated so that the best design solution can be selected from them. Because the evaluation of mechanical product scheme design is a multilevel, multiattribute and contains many fuzzy models, fuzzy comprehensive evaluation becomes an advantageous model for the evaluation of mechanical product scheme design. In this article, a fuzzy comprehensive evaluation method is constructed, and a combination of the subjectivity of determining weights by hierarchical analysis method and the objectivity of determining weights by entropy value method is used to calculate the weights of evaluation indexes, and a combined assignment method is established to improve the reliability of the evaluation method. Then, the best solution is selected by calculating the comprehensive evaluation value of each product design solution. Finally, the validity, reasonableness, and feasibility of the evaluation model are verified through the evaluation and selection of three design solutions for a gearbox reducer, which also provides a new method for the evaluation and selection of other product design solutions.

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Section: Analytical Hierarchy Analysis To Determine Thementioning

confidence: 99%

Research on the Optimization Technology of Mechanical Product Design Plan Based on Fuzzy Comprehensive Evaluation Analysis Method

Wang

Cao

Qiao

et al. 2022

Scientific Programming

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“…All the experiments were performed in a random order. The data were already analyzed, with different aims and techniques, in Bernasconi et al (2010aBernasconi et al ( , 2011Bernasconi et al ( , 2014.…”

Section: Stevens'mentioning

confidence: 99%

Nonparametric Estimation and Inference in Economic and Psychological Experiments

Seri,

Centorrino,

Bernasconi

2019

Preprint

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The goal of this paper is to provide some tools for nonparametric estimation and inference in psychological and economic experiments. We consider an experimental framework in which each of nsubjects provides T responses to a vector of T stimuli. We propose to estimate the unknown function f linking stimuli to responses through a nonparametric sieve estimator. We give conditions for consistency when either n or T or both diverge. The rate of convergence depends upon the error covariance structure, that is allowed to differ across subjects. With these results we derive the optimal divergence rate of the dimension of the sieve basis with both n and T . We provide guidance about the optimal balance between the number of subjects and questions in a laboratory experiment and argue that a large n is often better than a large T . We derive conditions for asymptotic normality of functionals of the estimator of T and apply them to obtain the asymptotic distribution of the Wald test when the number of constraints under the null is finite and when it diverges along with other asymptotic parameters. Lastly, we investigate the previous properties when the conditional covariance matrix is replaced by an estimator.

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“…The vectors of priority weights obtained from A (k) with different prioritization methods are denoted as u (k) . In Bernasconi et al (2011) we discuss the algebraic properties of u (k) .…”

Section: Basic Issues In Ahp-group Aggregationmentioning

confidence: 99%

“…Therefore, it is possible to reason as if α 0,ij = in such a way that its elements sum up to 1: therefore, it is given by w K k=1 w (k) ⊙β k / u T n · K k=1 w (k) ⊙β k . Using results in Section 4 in Bernasconi, Choirat and Seri (2011), up to the first order, the maximal eigenvector is given by…”

Section: A1 Proofs -Aij-wgm-me/llsmentioning

confidence: 99%

Empirical properties of group preference aggregation methods employed in AHP: Theory and evidence

Bernasconi

Choirat

Seri

2014

European Journal of Operational Research

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We study various methods of aggregating individual judgments and individual priorities in group decision making with the AHP. The focus is on the empirical properties of the various methods, mainly on the extent to which the various aggregation methods represent an accurate approximation of the priority vector of interest. We identify five main classes of aggregation procedures which provide identical or very similar empirical expressions for the vectors of interest. We also propose a method to decompose in the AHP response matrix distortions due to random errors and perturbations caused by cognitive biases predicted by the mathematical psychology literature. We test the decomposition with experimental data and find that perturbations in group decision making caused by cognitive distortions are more important than those caused by random errors. We propose methods to correct the systematic distortions

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A re-examination of the algebraic properties of the AHP as a ratio-scaling technique

Cited by 12 publications

References 39 publications

Research on the Optimization Technology of Mechanical Product Design Plan Based on Fuzzy Comprehensive Evaluation Analysis Method

Research on the Optimization Technology of Mechanical Product Design Plan Based on Fuzzy Comprehensive Evaluation Analysis Method

Nonparametric Estimation and Inference in Economic and Psychological Experiments

Empirical properties of group preference aggregation methods employed in AHP: Theory and evidence

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