Entropy Measures for Hesitant Fuzzy Linguistic Term Sets Using the Concept of Interval-Transformed Hesitant Fuzzy Elements

Abstract

This article first aims to critically review the existing literature on entropy measures for hesitant fuzzy linguistic term set (HFLTS) and then exploits a bridge between HFLTSs and interval-valued fuzzy sets. The intension of introducing the concept of interval-transformed HFLTS is to derive another class of entropy measures for HFLTSs satisfying different axioms. The comparison results and the experimental evidence show that the proposed entropy measures for HFLTSs are more confident in distinguishing different HFLTSs rather than the most existing entropy measures. Finally, the practical application of proposed entropy measures is illustrated in solving a problem of multiple criteria decision making.

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Acknowledgements

We would like to acknowledge the support of FEDER funds under Grants TIN2013-40658-P and TIN2016-75850-R.

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Correspondence to Enrique Herrera-Viedma.

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Farhadinia, B., Herrera-Viedma, E. Entropy Measures for Hesitant Fuzzy Linguistic Term Sets Using the Concept of Interval-Transformed Hesitant Fuzzy Elements. Int. J. Fuzzy Syst. 20, 2122–2134 (2018). https://doi.org/10.1007/s40815-017-0379-x

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Keywords

  • Hesitant fuzzy linguistic term set
  • Interval-transformed hesitant fuzzy linguistic term set
  • Entropy measure
  • Multiple criteria decision making