IDEAS home Printed from https://ideas.repec.org/a/wly/jjmath/v2022y2022i1n1585079.html

Entropy on Intuitionistic Fuzzy Sets and Hesitant Fuzzy Sets

Author

Listed:
  • Bicheng Yu
  • Xuejun Zhao
  • Mingfa Zheng
  • Xiujiu Yuan
  • Bei Hou

Abstract

Since the sufficient conditions for the maximum value of the intuitionistic fuzzy entropy are not unified and the hesitant fuzzy entropy cannot be compared when the lengths of the hesitation fuzzy elements are not equal, improved axiomatic definitions of intuitionistic fuzzy entropy and hesitant fuzzy entropy are proposed, and new intuitionistic fuzzy entropy and hesitant fuzzy entropy based on the improved axiomatic definitions are established. This paper defines the fuzzy entropy that satisfies the properties based on the axiomatized definition of fuzzy entropy and, based on the fuzzy entropy, defines new intuitionistic fuzzy entropy and hesitant fuzzy entropy, so that the three are unified in form. The validity and rationality of the proposed intuitionistic fuzzy entropy and hesitant fuzzy entropy are verified by analysis.

Suggested Citation

  • Bicheng Yu & Xuejun Zhao & Mingfa Zheng & Xiujiu Yuan & Bei Hou, 2022. "Entropy on Intuitionistic Fuzzy Sets and Hesitant Fuzzy Sets," Journal of Mathematics, John Wiley & Sons, vol. 2022(1).
    • Handle: RePEc:wly:jjmath:v:2022:y:2022:i:1:n:1585079
    DOI: 10.1155/2022/1585079
    as

    Download full text from publisher

    File URL: https://doi.org/10.1155/2022/1585079
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2022/1585079?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    References listed on IDEAS

    as
    1. Junhua Hu & Xiaolong Zhang & Xiaohong Chen & Yongmei Liu, 2016. "Hesitant fuzzy information measures and their applications in multi-criteria decision making," International Journal of Systems Science, Taylor & Francis Journals, vol. 47(1), pages 62-76, January.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Arunodaya Raj Mishra & Pratibha Rani & Raghunathan Krishankumar & Edmundas Kazimieras Zavadskas & Fausto Cavallaro & Kattur S. Ravichandran, 2021. "A Hesitant Fuzzy Combined Compromise Solution Framework-Based on Discrimination Measure for Ranking Sustainable Third-Party Reverse Logistic Providers," Sustainability, MDPI, vol. 13(4), pages 1-24, February.
    2. Palash Dutta & Rupjit Saikia, 2020. "A Decision-making Approach for Choosing a Reliable Product under the Hesitant Fuzzy Environment via a Novel Distance Measure," Vikalpa: The Journal for Decision Makers, , vol. 45(3), pages 147-159, September.
    3. Xun Zhang & Jun Wang, 2023. "Q‐Rung Interval‐Valued Probabilistic Dual Hesitant Fuzzy Sets: A New Tool for Multiattribute Group Decision‐Making," Mathematical Problems in Engineering, John Wiley & Sons, vol. 2023(1).
    4. Juan-Juan Peng & Jian-Qiang Wang & Xiao-Hui Wu, 2016. "Novel Multi-criteria Decision-making Approaches Based on Hesitant Fuzzy Sets and Prospect Theory," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 15(03), pages 621-643, May.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:wly:jjmath:v:2022:y:2022:i:1:n:1585079. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Wiley Content Delivery (email available below). General contact details of provider: https://onlinelibrary.wiley.com/journal/1469 .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.