There are numerous compensatory multicriteria decision methods that are used for decision making. Among them, we consider the TOPSIS method for its rationality and easy applicability. This method is based on the concept that the alternative chosen should be the one whose distance to the positive ideal solution is smaller and simultaneously, the distance to the negative ideal solution is as large as possible. Based on this idea, the Reference Ideal Method (RIM) can be considered as an extension of the TOPSIS method when considering that the ideal solution does not have to be the maximum or minimum value, but may be a value between them. RIM gives good solutions but does not always obtain the solution when operating with fuzzy numbers. In this paper its extension is proposed to work with vagueness and uncertainty, resulting in the Fuzzy Reference Ideal Method (FRIM), with its applicability being illustrated through an example built frequency from a real practical problem.

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Cables E., Lamata M.T., Verdegay J.L. (2018) FRIM—Fuzzy Reference Ideal Method in Multicriteria Decision Making. In: Collan M., Kacprzyk J. (eds) Soft Computing Applications for Group Decision-making and Consensus Modeling. Studies in Fuzziness and Soft Computing, vol 357. Springer, Cham. https://doi.org/10.1007/978-3-319-60207-3_19