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Abstract

The purpose of this chapter is to have a look at the most current models and methodologies used for helping the DM. It is not a detailed analysis because there is abundant bibliography on each one of them; it gives instead enough information to learn about their capabilities, limits and potential, and thus enabling the DM to choose the model that he/she believes is more adequate. This chapter examines the five most popular models, which are MAUT, ELECTRE, PROMETHEE, TOPSIS and AHP, and comments on an expansion of the latter known as ANP. However, it does not consider Linear Programming because its explanation and exemplification are in Chap. 4. It is a common belief that there is no one method superior to another, albeit there is perhaps one that is more popular, but most of the time any of them can be used to solve a problem; however, there is a comparison made on their characteristics and that is illustrated in Chap. 7.

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Notes

  1. 1.

    Integer Linear Programming is a mathematical programming model with an additional condition demanding that variables in the result must be expressed as integers. It is a difficult problem to solve and still more restrictive than the LP model; normally uses the Gomory algorithm (Gomory 1958).

  2. 2.

    Decision Lab software: http://visualdecision.com/dlab.htm

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Correspondence to Nolberto Munier .

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Munier, N. (2011). State of the Art in Decision-Making. In: A Strategy for Using Multicriteria Analysis in Decision-Making. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-1512-7_3

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