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A flexible elicitation procedure for additive model scale constants

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This paper contributes to the process of eliciting additive model scale constants in order to support choice problems, thereby reducing the effort a decision maker (DM) needs to make since partial information with regard to DM preferences can be used. Procedures related to eliciting weights without a tradeoff interpretation of weights are justified based on assumptions that DM is not able to specify fixed weight values or if DM is able to do so, this would not be reliable information. As long as partial information is provided, the flexible elicitation procedure performs dominance tests based on a linear programming problem to explore the DM’s preferences as a vector space which is built using the DM’s partial information. To provide evidence of the satisfactory performance of the flexible elicitation procedure, an empirical test is presented with results that indicate that this procedure requires less effort from DMs.
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Ann Oper Res (2017) 259:65–83
DOI 10.1007/s10479-017-2519-y
A flexible elicitation procedure for additive model scale
Adiel T. de Almeida-Filho1·Adiel T. de Almeida1·
Ana Paula C. S. Costa1
Published online: 11 May 2017
© Springer Science+Business Media New York 2017
Abstract This paper contributes to the process of eliciting additive model scale constants in
order to support choice problems, thereby reducing the effort a decision maker (DM) needs
to make since partial information with regard to DM preferences can be used. Procedures
related to eliciting weights without a tradeoff interpretation of weights are justified based on
assumptions that DM is not able to specify fixed weight values or if DM is able to do so, this
would not be reliable information. As long as partial information is provided, the flexible
elicitation procedure performs dominance tests based on a linear programming problem
to explore the DM’s preferences as a vector space which is built using the DM’s partial
information. To provide evidence of the satisfactory performance of the flexible elicitation
procedure, an empirical test is presented with results that indicate that this procedure requires
less effort from DMs.
Keywords Flexible elicitation ·Partial information ·MAVT ·Tradeoff ·FITradeoff ·
Additive model
1 Introduction
In multicriteria decision problems, the inter-criteria evaluating parameter is usually called
weights. This is one of the fundamental modeling issues widely discussed in the literature.
The additive model is widely used in the literature (Palha et al. 2016;Pergher and de Almeida
2017), and in such kind of models using weights means using scale constant or tradeoffs,
and declaring which committed relationship the decision maker (DM) is willing to establish
between two criteria. In other methods, weights may be about the relative importance among
the criteria.
BAdiel T. de Almeida-Filho
1Universidade Federal de Pernambuco, CDSID - Center for Decision Systems and Information
Development, Av. Acadêmico Hélio Ramos, s/n Cidade Universitária, Recife, PE, CEP 50.740-530,
Content courtesy of Springer Nature, terms of use apply. Rights reserved.
... The approach proposes the integration of two methodologies: Balanced Scorecard -a multi-perspective tool for performance evaluation and strategic planning, and FITradeoff for the ranking problematic -an MCDA that features a robust axiomatic structure while improving the elicitation process through the flexibility and interactivity which it depicts in the exploit of partial information required to prioritize key performance indicators (Almeida-Filho et al., 2017). The FITradeoff method arose from the need of having an elicitation process that employs partial information in a more structured and flexible way as the traditional methods entailed many inconsistencies in the process (Almeida et al., 2016). ...
... It was found that FITradeoff decreased questions by almost 42% when compared with the traditional tradeoff method, which means savings in time and effort for DM. This outcome reinforces that FITradeoff overperformes the traditional Tradeoff as to the number of questions matter (Almeida-Filho et al., 2017). ...
... Thus, the model asks him for new relations of preference until a unique solution is found, that is, a situation in which the ideal alternative is found. The solution is found when the subset of potentially optimal alternatives has only one element [69]. Therefore, using the FITradeoff method allows for a more transparent and effective decision-making process [69]. ...
... The solution is found when the subset of potentially optimal alternatives has only one element [69]. Therefore, using the FITradeoff method allows for a more transparent and effective decision-making process [69]. ...
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... No que diz respeito a metodologia adotada, o uso do método FITradeoff para ordenação mostrou-se satisfatório ao contexto abordado nesse estudo. Devido à falta de informações e hesitações por parte do decisor na tomada de decisão, além do tempo reduzido, o método FITradeoff apresentou vantagens quanto ao seu uso: por ser um processo de elicitação flexível, o FITradeoff requer menos esforço do decisor; utiliza informações parciais e não completas, minimizando também o esforço cognitivo do decisor; as perguntas respondidas pelo decisor carregam menos incertezas ou hesitações; possibilidade do decisor interromper o processo antes do final da elicitação; o uso do software do FITradeoff fornece informações que podem ser visualizadas por gráficos, facilitando assim a compreensão do decisor (de Almeida et al., 2016;Gusmão e Medeiros, 2016;de Almeida-Filho et al., 2017;Carrillo et al., 2018;Roselli et al., 2019;Frej et al., 2019). ...
... However, through the steps and graphic tools presented by the software, he felt supported during the process of searching for the best result for his problem situation. Another important issue is that, according to De Almeida-Filho et al. (2017), in the traditional Tradeoff method, given n = 4 criteria, 3(n-1) = 9, questions are needed to reach a solution. ...
Reverse logistics is gaining prominence in a global, economic, social, and political context due to the increasing number of disposable products, a higher environmental concern, and the pursuit of competitive advantage. Thus, reverse flow inventory management is necessary for efficient operational control. However, many organisations are not able to identify and manage all their critical success factors (CSF) simultaneously. Thus, this paper proposes an integrative decision model to identify and prioritise CSFs. This model combines Soft and Hard operation research methods. The priority model can aid DMs to think creatively about their values in messy situations and express them in a structured way, requiring less cognitive effort because it uses partial information in its elicitation procedure. A case study in a Brazilian steel company was conducted to demonstrate the applicability of the proposed model. This model was able to generate practical, managerial, environmental, and social results.
... Some methods apply the tradeoff principle, in which the weights show the importance of a criterion compared to another criterion in a compensatory manner (de Almeida-Filho et al., 2017). Keeney and Raiffa (1976) presented the TRADEOFF weighting that consists of a mathematical function, which integrates information on multiple criteria so that the alternatives represent a value function. ...
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