IDEAS home Printed from https://ideas.repec.org/a/spr/fuzodm/v22y2023i3d10.1007_s10700-022-09398-9.html
   My bibliography  Save this article

Probabilistic linguistic decision-making based on the hybrid entropy and cross-entropy measures

Author

Listed:
  • Bing Fang

    (Army Command College of PLA)

Abstract

In fuzzy decision-making, the probabilistic linguistic term sets (PLTSs) are flexible in depicting people’s linguistic evaluations. As the uncertainty measures of PLTSs, entropy and cross-entropy are the important decision-making tools. Generally speaking, the uncertainty of PLTSs can be studied from two facets, which are known as hesitancy and fuzziness. To better reflect these uncertainties, some hybrid entropy and cross-entropy measures of PLTSs are developed in this work. It is shown that the hybrid entropy measures are simple in structure, clear in physical meaning and strong in discriminating ability, while the hybrid cross-entropy measures can avoid the design flaws of existing measures and possess natural symmetry. It is also shown that the hybrid entropy and cross-entropy measures can be designed in pairs, mutually supportive and inherently unified as the uncertainty measures. In the ends, a multi-attribute decision-making (MADM) model, based on these uncertainty measures of PLTSs, is developed within the famous TOPSIS framework to select the best cloud computing platform.

Suggested Citation

  • Bing Fang, 2023. "Probabilistic linguistic decision-making based on the hybrid entropy and cross-entropy measures," Fuzzy Optimization and Decision Making, Springer, vol. 22(3), pages 415-445, September.
    • Handle: RePEc:spr:fuzodm:v:22:y:2023:i:3:d:10.1007_s10700-022-09398-9
    DOI: 10.1007/s10700-022-09398-9
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s10700-022-09398-9
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.
    File URL: https://libkey.io/10.1007/s10700-022-09398-9?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
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Huchang Liao & Xiaomei Mi & Zeshui Xu, 2020. "A survey of decision-making methods with probabilistic linguistic information: bibliometrics, preliminaries, methodologies, applications and future directions," Fuzzy Optimization and Decision Making, Springer, vol. 19(1), pages 81-134, March.
    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. Wu, Xingli & Liao, Huchang, 2021. "Modeling personalized cognition of customers in online shopping," Omega, Elsevier, vol. 104(C).
    2. Xunjie Gou & Zeshui Xu & Xinxin Wang & Huchang Liao, 2021. "Managing consensus reaching process with self-confident double hierarchy linguistic preference relations in group decision making," Fuzzy Optimization and Decision Making, Springer, vol. 20(1), pages 51-79, March.
    3. Min Xue & Chao Fu & Shanlin Yang, 2022. "A comparative analysis of probabilistic linguistic preference relations and distributed preference relations for decision making," Fuzzy Optimization and Decision Making, Springer, vol. 21(1), pages 71-97, March.
    4. Jiahui Chai & Sidong Xian & Sichong Lu, 2021. "Z probabilistic linguistic term sets and its application in multi-attribute group decision making," Fuzzy Optimization and Decision Making, Springer, vol. 20(4), pages 529-566, December.
    5. Xiangqian Feng & Xiaodong Pang & Lan Zhang, 2020. "On consistency and priority weights for interval probabilistic linguistic preference relations," Fuzzy Optimization and Decision Making, Springer, vol. 19(4), pages 529-560, December.
    6. Wu, Xingli & Liao, Huchang, 2022. "A Dempster-Shafer-theory-based entry screening mechanism for small and medium-sized enterprises under uncertainty," Technological Forecasting and Social Change, Elsevier, vol. 180(C).
    7. Mehdi Soltanifar & Hamid Sharafi, 2022. "A modified DEA cross efficiency method with negative data and its application in supplier selection," Journal of Combinatorial Optimization, Springer, vol. 43(1), pages 265-296, January.
    8. Keng-Yu Lin & Kuei-Hu Chang, 2023. "Artificial Intelligence and Information Processing: A Systematic Literature Review," Mathematics, MDPI, vol. 11(11), pages 1-20, May.
    9. Decui Liang & Zhuoyin Dai & Mingwei Wang & Jinjun Li, 2020. "Web celebrity shop assessment and improvement based on online review with probabilistic linguistic term sets by using sentiment analysis and fuzzy cognitive map," Fuzzy Optimization and Decision Making, Springer, vol. 19(4), pages 561-586, December.
    10. Hong-gang Peng & Jian-qiang Wang, 2020. "Multi-criteria sorting decision making based on dominance and opposition relations with probabilistic linguistic information," Fuzzy Optimization and Decision Making, Springer, vol. 19(4), pages 435-470, December.
    11. Zhenzhen Ma & Jianjun Zhu & Shitao Zhang, 2021. "Probabilistic-based expressions in behavioral multi-attribute decision making considering pre-evaluation," Fuzzy Optimization and Decision Making, Springer, vol. 20(1), pages 145-173, March.
    12. Xinxin Wang & Zeshui Xu & Yong Qin, 2022. "Structure, trend and prospect of operational research: a scientific analysis for publications from 1952 to 2020 included in Web of Science database," Fuzzy Optimization and Decision Making, Springer, vol. 21(4), pages 649-672, December.
    13. Meng Zhao & Xinyuan Shen & Huchang Liao & Mingyao Cai, 2022. "Selecting products through text reviews: An MCDM method incorporating personalized heuristic judgments in the prospect theory," Fuzzy Optimization and Decision Making, Springer, vol. 21(1), pages 21-44, March.
    14. Qi Wang & Shuo Wang & Si Fu, 2023. "A Sustainable Iterative Product Design Method Based on Considering User Needs from Online Reviews," Sustainability, MDPI, vol. 15(7), pages 1-16, March.
    15. Xingli Wu & Huchang Liao, 2021. "Learning judgment benchmarks of customers from online reviews," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 43(4), pages 1125-1157, December.
    16. Wu, Xingli & Liao, Huchang, 2023. "Value-driven preference disaggregation analysis for uncertain preference information," Omega, Elsevier, vol. 115(C).
    17. Bahram Farhadinia, 2022. "An innovative unification process for probabilistic hesitant fuzzy elements and its application to decision making," Fuzzy Optimization and Decision Making, Springer, vol. 21(3), pages 335-382, September.
    18. A. D. Shrivathsan & R. Krishankumar & Arunodaya Raj Mishra & K. S. Ravichandran & Samarjit Kar & V. Badrinath, 2020. "An Integrated Decision Approach with Probabilistic Linguistic Information for Test Case Prioritization," Mathematics, MDPI, vol. 8(11), pages 1-16, October.

    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:spr:fuzodm:v:22:y:2023:i:3:d:10.1007_s10700-022-09398-9. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    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.