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TODIM method for interval-valued Pythagorean fuzzy multiple attribute decision making

Yuhan Huang,G. Wei

Published 2018 in Int. J. Knowl. Based Intell. Eng. Syst.

ABSTRACT

Recently, the TODIM method has been used to solve multiple attribute decision making (MADM) problems. The interval-valued Pythagorean fuzzy sets (IVPFSs) are useful tools to depict uncertainty of the MADM. In this paper, we will extend the TODIM method to the MADM with the interval-valued Pythagorean fuzzy numbers (IVPFNs). Firstly, the definition, comparison and distance of IVPFNs are briefly introduced, and the steps of the classical TODIM method for MADM problems are presented. Then, the extended classical TODIM method is proposed to deal with MADM problems with the IVPFNs, and its significant characteristic is that it can fully consider the decision makers’ bounded rationality which is a real action in decision making. Furthermore, we develop the concept of the q-rung interval-valued orthopair fuzzy sets (q-RIVOFSs) and extend the TODIM method to q-RIVOFNs. Finally, a numerical example is proposed and a comparative analysis is given.

PUBLICATION RECORD

  • Publication year

    2018

  • Venue

    Int. J. Knowl. Based Intell. Eng. Syst.

  • Publication date

    2018-11-01

  • Fields of study

    Mathematics, Computer Science

  • Identifiers
    DOI 10.3233/KES-180389
  • External record

    Open on Semantic Scholar

  • Source metadata

    Semantic Scholar

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