IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v7y2019i2p191-d206694.html
   My bibliography  Save this article

Application of Exponential Jensen Picture Fuzzy Divergence Measure in Multi-Criteria Group Decision Making

Author

Listed:
  • Shouzhen Zeng

    (School of Business, Ningbo University, Ningbo 315211, China
    School of Managment, Fudan University, Shanghai 200433, China)

  • Shahzaib Asharf

    (Department of Mathematics, Abdul Wali Khan University, Mardan 23200, Pakistan)

  • Muhammad Arif

    (Department of Mathematics, Abdul Wali Khan University, Mardan 23200, Pakistan)

  • Saleem Abdullah

    (Department of Mathematics, Abdul Wali Khan University, Mardan 23200, Pakistan)

Abstract

A divergence measure plays a crucial part in discriminating two probability distributions and drawing inferences constructed on such discrimination. The intention of this study is to propose such a divergence measure based on Jensen inequality and exponential entropy in the settings of probability theory. Further, the idea has been generalized to fuzzy sets to familiarize a novel picture fuzzy divergence measure. Besides proposing the validity, some of its key properties are also deliberated. Finally, two illustrative examples are solved based on the proposed picture fuzzy divergence measure which shows the expediency and effectiveness of the proposed approach.

Suggested Citation

  • Shouzhen Zeng & Shahzaib Asharf & Muhammad Arif & Saleem Abdullah, 2019. "Application of Exponential Jensen Picture Fuzzy Divergence Measure in Multi-Criteria Group Decision Making," Mathematics, MDPI, vol. 7(2), pages 1-16, February.
    • Handle: RePEc:gam:jmathe:v:7:y:2019:i:2:p:191-:d:206694
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/7/2/191/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/7/2/191/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Guiwu Wei, 2018. "Uncertain Hamacher Aggregation Operators and Their Application to Multiple Attribute Decision Making," International Journal of Decision Support System Technology (IJDSST), IGI Global, vol. 10(2), pages 40-64, April.
    2. Peide Liu & Peng Wang, 2017. "Some Improved Linguistic Intuitionistic Fuzzy Aggregation Operators and Their Applications to Multiple-Attribute Decision Making," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 16(03), pages 817-850, May.
    3. Ponta, Linda & Carbone, Anna, 2018. "Information measure for financial time series: Quantifying short-term market heterogeneity," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 510(C), pages 132-144.
    4. Linda Ponta & Anna Carbone, 2017. "Information measure for financial time series: quantifying short-term market heterogeneity," Papers 1710.07331, arXiv.org, revised Feb 2018.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Shahzaib Ashraf & Saleem Abdullah & Lazim Abdullah, 2019. "Child Development Influence Environmental Factors Determined Using Spherical Fuzzy Distance Measures," Mathematics, MDPI, vol. 7(8), pages 1-24, July.

    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. Masoud Ahmadipour & Hashim Hizam & Mohammad Lutfi Othman & Mohd Amran Mohd Radzi, 2018. "An Anti-Islanding Protection Technique Using a Wavelet Packet Transform and a Probabilistic Neural Network," Energies, MDPI, vol. 11(10), pages 1-31, October.
    2. Ponta, Linda & Murialdo, Pietro & Carbone, Anna, 2021. "Information measure for long-range correlated time series: Quantifying horizon dependence in financial markets," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 570(C).
    3. Wei Dong & Qiang Yang & Xinli Fang, 2018. "Multi-Step Ahead Wind Power Generation Prediction Based on Hybrid Machine Learning Techniques," Energies, MDPI, vol. 11(8), pages 1-19, July.
    4. Suizhi Luo & Lining Xing, 2019. "Picture Fuzzy Interaction Partitioned Heronian Aggregation Operators for Hotel Selection," Mathematics, MDPI, vol. 8(1), pages 1-23, December.
    5. Qin, Guyue & Shang, Pengjian, 2021. "Analysis of time series using a new entropy plane based on past entropy," Chaos, Solitons & Fractals, Elsevier, vol. 152(C).
    6. V Dimitrova & M Fernández-Martínez & M A Sánchez-Granero & J E Trinidad Segovia, 2019. "Some comments on Bitcoin market (in)efficiency," PLOS ONE, Public Library of Science, vol. 14(7), pages 1-14, July.
    7. Pietro Murialdo & Linda Ponta & Anna Carbone, 2020. "Long-Range Dependence in Financial Markets: a Moving Average Cluster Entropy Approach," Papers 2004.14736, arXiv.org.
    8. Vladimir Simić & Radovan Soušek & Stefan Jovčić, 2020. "Picture Fuzzy MCDM Approach for Risk Assessment of Railway Infrastructure," Mathematics, MDPI, vol. 8(12), pages 1-29, December.
    9. Mingwei Lin & Jiuhan Wei & Zeshui Xu & Riqing Chen, 2018. "Multiattribute Group Decision-Making Based on Linguistic Pythagorean Fuzzy Interaction Partitioned Bonferroni Mean Aggregation Operators," Complexity, Hindawi, vol. 2018, pages 1-24, November.
    10. Charu Sharma & Amber Habib, 2019. "Mutual information based stock networks and portfolio selection for intraday traders using high frequency data: An Indian market case study," PLOS ONE, Public Library of Science, vol. 14(8), pages 1-19, August.
    11. Assaf, Ata & Charif, Husni & Demir, Ender, 2022. "Information sharing among cryptocurrencies: Evidence from mutual information and approximate entropy during COVID-19," Finance Research Letters, Elsevier, vol. 47(PA).
    12. Shengjun Wu & Jie Wang & Guiwu Wei & Yu Wei, 2018. "Research on Construction Engineering Project Risk Assessment with Some 2-Tuple Linguistic Neutrosophic Hamy Mean Operators," Sustainability, MDPI, vol. 10(5), pages 1-26, May.
    13. Miin-Shen Yang & Zahid Hussain, 2018. "Fuzzy Entropy for Pythagorean Fuzzy Sets with Application to Multicriterion Decision Making," Complexity, Hindawi, vol. 2018, pages 1-14, November.
    14. Yun Jin & Hecheng Wu & Dechao Sun & Shouzhen Zeng & Dandan Luo & Bo Peng, 2019. "A Multi-Attribute Pearson’s Picture Fuzzy Correlation-Based Decision-Making Method," Mathematics, MDPI, vol. 7(10), pages 1-12, October.
    15. Vanita Rani & Satish Kumar, 2023. "MCDM Method for Evaluating and Ranking the Online Shopping Websites Based on a Novel Distance Measure Under Intuitionistic Fuzzy Environment," SN Operations Research Forum, Springer, vol. 4(4), pages 1-34, December.
    16. Paul Augustine Ejegwa & Arun Sarkar, 2023. "Novel Correlation Measure for Generalized Orthopair Fuzzy Sets and Its Decision-Making Applications," SN Operations Research Forum, Springer, vol. 4(2), pages 1-23, June.
    17. Ximei Hu & Shuxia Yang & Ya-Ru Zhu, 2021. "Multiple Attribute Decision-Making Based on Three-Parameter Generalized Weighted Heronian Mean," Mathematics, MDPI, vol. 9(12), pages 1-29, June.
    18. Jiahuan He & Xindi Wang & Runtong Zhang & Li Li, 2019. "Some q -Rung Picture Fuzzy Dombi Hamy Mean Operators with Their Application to Project Assessment," Mathematics, MDPI, vol. 7(5), pages 1-28, May.
    19. Zeeshan Ali & Tahir Mahmood & Miin-Shen Yang, 2020. "TOPSIS Method Based on Complex Spherical Fuzzy Sets with Bonferroni Mean Operators," Mathematics, MDPI, vol. 8(10), pages 1-19, October.
    20. Yuan Rong & Yi Liu & Zheng Pei, 2020. "Novel Multiple Attribute Group Decision-Making Methods Based on Linguistic Intuitionistic Fuzzy Information," Mathematics, MDPI, vol. 8(3), pages 1-30, March.

    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:gam:jmathe:v:7:y:2019:i:2:p:191-:d:206694. 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: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.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.