The legitimacy of rank reversal—A comment

Belton, Valérie; Gear, Tony

doi:10.1016/0305-0483(85)90052-0

Cited by 162 publications

(58 citation statements)

References 2 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…Belton and Gear [6] and Dyer [9] pointed out that this method can suer from rank reversal (an alternative chosen as the best over a set of X, is not chosen when some alternative, perhaps an unimportant one, is excluded from X). Belton and Gear [7] and Dyer and Wendel [10] attacked the AHP on the grounds that it lacks a ®rm theoretical basis. Harker and Vargas [13] and Perez [19] discussed these major criticisms and proved with a theoretical work and examples that they are not valid.…”

Section: The Analytical Hierarchy Process (Ahp)mentioning

confidence: 99%

Application of the AHP in project management

Al‐Harbi

2001

International Journal of Project Management

837

289

View full text Add to dashboard Cite

This paper presents the Analytical Hierarchy Process (AHP) as a potential decision making method for use in project management. The contractor prequali®cation problem is used as an example. A hierarchical structure is constructed for the prequali®cation criteria and the contractors wishing to prequalify for a project. By applying the AHP, the prequali®cation criteria can be prioritized and a descending-order list of contractors can be made in order to select the best contractors to perform the project. A sensitivity analysis can be performed to check the sensitivity of the ®nal decisions to minor changes in judgements. The paper presents group decision-making using the AHP. The AHP implementation steps will be simpli®ed by using the`Expert Choice' professional software that is available commercially and designed for implementing AHP. It is hoped that this will encourage the application of the AHP by project management professionals. #

show abstract

Section: The Analytical Hierarchy Process (Ahp)mentioning

confidence: 99%

Application of the AHP in project management

Al‐Harbi

2001

International Journal of Project Management

837

289

View full text Add to dashboard Cite

show abstract

“…Some decision-making algorithms have been criticized for the possible rank reversal phenomenon caused by the addition or deletion of an alternative [21][22][23][24].…”

Section: Rank Reversal In the Comparison Score Algorithmmentioning

confidence: 99%

A Method for Fuzzy Soft Sets in Decision-Making Based on an Ideal Solution

2017

View full text Add to dashboard Cite

Abstract:In this paper, a decision model based on a fuzzy soft set and ideal solution approaches is proposed. This new decision-making method uses the divide-and-conquer algorithm, and it is different from the existing algorithm (the choice value based approach and the comparison score based approach). The ideal solution is generated according to each attribute (pros or cons of the attributes, with or without constraints) of the fuzzy soft sets. Finally, the weighted Hamming distance is used to compute all possible alternatives and get the final result. The core of the decision process is the design phase, the existing decision models based on soft sets mostly neglect the analysis of attributes and decision objectives. This algorithm emphasizes the correct expression of the purpose of the decision maker and the analysis of attributes, as well as the explicit decision function. Additionally, this paper shows the fact that the rank reversal phenomenon occurs in the comparison score algorithm, and an example is provided to illustrate the rank reversal phenomenon. Experiments indicate that the decision model proposed in this paper is efficient and will be useful for practical problems. In addition, as a general model, it can be extended to a wider range of fields, such as classifications, optimization problems, etc.

show abstract

“…Essa normalização é feita para cada critério, obtendo-se assim uma matriz, onde todos os valores estão entre zero e um, denominada matriz de desejabilidades parciais W = [W nm ], sendo que n indica o número de alternativas e m o número de critérios, conforme se mostra na Tabela 1. Uma vez que a escala onde se lê a medida do desempenho estimado de cada alternativa com respeito a cada critério é determinada a partir do próprio conjunto de alternativas, por meio da normalização supracitada, pode-se minimizar a eventual ocorrência de reversão de ordem pelos dois caminhos seguintes: (i) adição de uma alternativa nova que contribua para expandir o intervalo de variação dos valores normalizados; ou, alternativamente, (ii) ponderação de cada alternativa com relação a um critério com o valor de uma unidade da escala em que o critério é medido (Belton & Stewart, 2002, p. 159; Belton & Gear, 1983, 1985Tallarico, 1990 …”

Section: O Método Todimunclassified

A exploração de gás natural em Mexilhão: análise multicritério pelo método Todim

Gomes

Maranhão

2008

Pesqui. Oper.

View full text Add to dashboard Cite

ResumoO problema abordado neste artigo foi o da seleção da melhor opção para destinação das reservas de gás natural descobertas recentemente na Bacia de Santos, mais especificamente no campo de Mexilhão. A análise multicritério empregada no estudo fez uso do método TODIM, método multicritério discreto fundamentado na Teoria dos Prospectos. A aplicação do método TODIM mostrou-se bastante útil na recomendação de opções de projetos no upstream, devido ao fato de se poder identificar claramente as alternativas mais importantes, em face aos cenários testados e em relação aos critérios explicitados. Como complemento ao estudo aqui apresentado, pesquisas relacionadas com o comportamento dos executivos no processo de tomada de decisão, principalmente acerca das questões de motivação e desejos pessoais, poderão também contribuir de maneira decisiva para um melhor entendimento das recomendações e escolhas apontadas.Palavras-chave: gás natural; decisões multicritério; teoria dos prospectos. AbstractThe problem dealt with in this article was the selection of the best option for destination of natural gas reserves recently discovered in the Santos Basin, more specifically in Mexilhão. The particular objectives of the study were: (1) to create a mechanism for supporting the process of analysis and selection of the best options for destination of natural gas; (2) to allow the decision makers choosing among investment opportunities aligned to the expectations and strategies of the investing firm; and (3) facilitate the systemic identification of new investment options. The multicriteria analysis made use of the TODIM method. This is a methods based on Prospect Theory that has proved to be useful in this particular study. The article closes with recommendations for future extensions of this study.

show abstract

The legitimacy of rank reversal—A comment

Cited by 162 publications

References 2 publications

Application of the AHP in project management

Application of the AHP in project management

A Method for Fuzzy Soft Sets in Decision-Making Based on an Ideal Solution

A exploração de gás natural em Mexilhão: análise multicritério pelo método Todim

Contact Info

Product

Resources

About