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Ideal Reference Method with Linguistic Labels: A Comparison with LTOPSIS

  • Elio H. CablesEmail author
  • María Teresa Lamata
  • José Luis Verdegay
Chapter
Part of the Studies in Fuzziness and Soft Computing book series (STUDFUZZ, volume 377)

Abstract

In many life situations we are in the presence of decision making problems, therefore it becomes necessary to study different theories, methods and tools to solve these kinds of problems as efficiently as possible. In this paper, we describe the elements that integrate a decision making model, as well as show some of the compensatory multicriteria decision making methods such as TOPSIS, VIKOR or RIM, that are most used. In particular, we identify the limitations of the RIM method to operate with linguistic labels. Next, the basic concepts of the Reference Ideal Method are described, and another variant is proposed to determine the minimum distance to the Reference Ideal, as well as the normalization function. We illustrate our method by means of an example and compare the results with those obtained by the LTOPSIS method. Finally, the conclusions are presented.

Keywords

Multicriteria decision making Reference ideal method RIM 

Notes

Acknowledgements

This work has been partially funded by projects TIN2014-55024-P and TIN2017-86647-P from the Spanish Ministry of Economy and Competitiveness, P11-TIC-8001 from the Andalusian Government, and FEDER funds. Also, the support provided by the Antonio Nariño University, Colombia.

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Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  • Elio H. Cables
    • 1
    Email author
  • María Teresa Lamata
    • 2
  • José Luis Verdegay
    • 2
  1. 1.Universidad Antonio NariñoBogotáColombia
  2. 2.Universidad de GranadaGranadaSpain

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