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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
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    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.
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    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.

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