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The fuzzy cross-entropy for intuitionistic hesitant fuzzy sets and their application in multi-criteria decision-making

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  • Juan-juan Peng
  • Jian-qiang Wang
  • Xiao-hui Wu
  • Hong-yu Zhang
  • Xiao-hong Chen

Abstract

In this paper, the cross-entropy of intuitionistic hesitant fuzzy sets (IHFSs) is developed by integrating the cross-entropy of intuitionistic fuzzy sets (IFSs) and hesitant fuzzy sets (HFSs). First, several measurement formulae are discussed and their properties are studied. Then, two approaches, which are based on the developed intuitionistic hesitant fuzzy cross-entropy, are proposed for solving multi-criteria decision-making (MCDM) problems within an intuitionistic hesitant fuzzy environment. For both methods, an optimisation model is established in order to determine the weight vector for MCDM problems with incomplete information on criteria weights. Finally, an example is provided in order to illustrate the practicality and effectiveness of the proposed approaches.

Suggested Citation

  • Juan-juan Peng & Jian-qiang Wang & Xiao-hui Wu & Hong-yu Zhang & Xiao-hong Chen, 2015. "The fuzzy cross-entropy for intuitionistic hesitant fuzzy sets and their application in multi-criteria decision-making," International Journal of Systems Science, Taylor & Francis Journals, vol. 46(13), pages 2335-2350, October.
    • Handle: RePEc:taf:tsysxx:v:46:y:2015:i:13:p:2335-2350
    DOI: 10.1080/00207721.2014.993744
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    Cited by:

    1. Majed Albaity & Tahir Mahmood, 2022. "Medical Diagnosis and Pattern Recognition Based on Generalized Dice Similarity Measures for Managing Intuitionistic Hesitant Fuzzy Information," Mathematics, MDPI, vol. 10(15), pages 1-15, August.
    2. Yanran Hong & Dongsheng Xu & Kaili Xiang & Han Qiao & Xiangxiang Cui & Huaxiang Xian, 2019. "Multi-Attribute Decision-Making Based on Preference Perspective with Interval Neutrosophic Sets in Venture Capital," Mathematics, MDPI, vol. 7(3), pages 1-13, March.
    3. Jalil Heidary Dahooie & Amir Salar Vanaki & Hamid Reza Firoozfar & Edmundas Kazimieras Zavadskas & Audrius Čereška, 2020. "An Extension of the Failure Mode and Effect Analysis with Hesitant Fuzzy Sets to Assess the Occupational Hazards in the Construction Industry," IJERPH, MDPI, vol. 17(4), pages 1-22, February.

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