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Novel hesitant fuzzy linguistic entropy and cross-entropy measures in multiple criteria decision making

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Abstract

In this contribution, we mainly investigate how new entropy and cross entropy measures of hesitant fuzzy linguistic term sets (HFLTSs) can be designed by using the counterparts proposed for linguistic term sets (LTSs). In this circumstance, we intend to point out some drawbacks of the existing entropies, and then extend the theory of entropy and cross entropy measures of HFLTSs by constructing a number of new entropies. Furthermore, we compare the results of the approach being proposed based on the new entropy and cross entropy measures with that of the weight-determining method and the hesitant fuzzy linguistic alternative queuing method (HFL-AQM).

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Authors and Affiliations

  1. Department of Mathematics, Quchan University of Technology, Quchan, Iran

    B. Farhadinia

  2. Business School, Sichuan University, Chengdu, 610064, People’s Republic of China

    Zeshui Xu

Authors
  1. B. Farhadinia
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  2. Zeshui Xu
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Correspondence to B. Farhadinia.

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Farhadinia, B., Xu, Z. Novel hesitant fuzzy linguistic entropy and cross-entropy measures in multiple criteria decision making. Appl Intell 48, 3915–3927 (2018). https://doi.org/10.1007/s10489-018-1186-2

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  • DOI: https://doi.org/10.1007/s10489-018-1186-2

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