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Ideal Reference Method with Linguistic Labels: A Comparison with LTOPSIS

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Uncertainty Management with Fuzzy and Rough Sets

Part of the book series: Studies in Fuzziness and Soft Computing ((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.

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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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Authors and Affiliations

  1. Universidad Antonio Nariño, Bogotá, Colombia

    Elio H. Cables

  2. Universidad de Granada, 18071, Granada, Spain

    María Teresa Lamata & José Luis Verdegay

Authors
  1. Elio H. Cables
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  2. María Teresa Lamata
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  3. José Luis Verdegay
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Corresponding author

Correspondence to Elio H. Cables .

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Editors and Affiliations

  1. Department of Computer Science, Universidad Central "Marta Abreu" de Las Villas, Santa Clara, Villa Clara, Cuba

    Rafael Bello

  2. School of Electrical Engineering and Computer Science, University of Ottawa, Ottawa, ON, Canada

    Rafael Falcon

  3. Department of Computer Science and Artificial Intelligence, Technical School of Informatics and Telecommunications Engineering, University of Granada, Granada, Spain

    José Luis Verdegay

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Cables, E.H., Lamata, M.T., Verdegay, J.L. (2019). Ideal Reference Method with Linguistic Labels: A Comparison with LTOPSIS. In: Bello, R., Falcon, R., Verdegay, J. (eds) Uncertainty Management with Fuzzy and Rough Sets. Studies in Fuzziness and Soft Computing, vol 377. Springer, Cham. https://doi.org/10.1007/978-3-030-10463-4_6

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