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A Consistency Check Method for Trusted Hesitant Fuzzy Sets with Confidence Levels Based on a Distance Measure

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  • Huimin Xiao
  • Meiqi Wang
  • Xiaoning Xi

Abstract

This paper proposes a consistency check method for hesitant fuzzy sets with confidence levels by employing a distance measure. Firstly, we analyze the difference between each fuzzy element and its corresponding attribute comprehensive decision value and then obtain a comprehensive distance measure for each attribute. Subsequently, by taking the relative credibility as the weight, we assess the consistency of hesitant fuzzy sets. Finally, numerical examples are put forward to verify the effectiveness and reliability of the proposed method.

Suggested Citation

  • Huimin Xiao & Meiqi Wang & Xiaoning Xi, 2020. "A Consistency Check Method for Trusted Hesitant Fuzzy Sets with Confidence Levels Based on a Distance Measure," Complexity, Hindawi, vol. 2020, pages 1-7, October.
    • Handle: RePEc:hin:complx:9762695
    DOI: 10.1155/2020/9762695
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    Cited by:

    1. Yakun Zhao & Jianhong Chen & Shan Yang & Zhe Liu, 2022. "Game Theory and an Improved Maximum Entropy-Attribute Measure Interval Model for Predicting Rockburst Intensity," Mathematics, MDPI, vol. 10(15), pages 1-22, July.

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