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Two Classes of Entropy Measures for Complex Fuzzy Sets

Author

Listed:
  • Lvqing Bi

    (School of Physics and Telecommunication Engineering, Guangxi Colleges and Universities Key Laboratory of Complex System Optimization and Big Data Processing, Yulin Normal University, Yulin 537000, China
    College of Electronic Science and Technology, Xiamen University, Xiamen 361005, China
    These authors contributed equally to this work.)

  • Zhiqiang Zeng

    (School of Physics and Telecommunication Engineering, Guangxi Colleges and Universities Key Laboratory of Complex System Optimization and Big Data Processing, Yulin Normal University, Yulin 537000, China
    These authors contributed equally to this work.)

  • Bo Hu

    (College of Electronic Science and Technology, Xiamen University, Xiamen 361005, China
    School of Big Data and Computer Science, Guizhou Normal University, Guiyang 550025, China)

  • Songsong Dai

    (College of Electronic Science and Technology, Xiamen University, Xiamen 361005, China)

Abstract

Complex fuzzy sets are characterized by complex-valued membership functions, whose range is extended from the traditional fuzzy range of [0,1] to the unit circle in the complex plane. In this paper, we define two kinds of entropy measures for complex fuzzy sets, called type-A and type-B entropy measures, and analyze their rotational invariance properties. Among them, two formulas of type-A entropy measures possess the attribute of rotational invariance, whereas the other two formulas of type-B entropy measures lack this characteristic.

Suggested Citation

  • Lvqing Bi & Zhiqiang Zeng & Bo Hu & Songsong Dai, 2019. "Two Classes of Entropy Measures for Complex Fuzzy Sets," Mathematics, MDPI, vol. 7(1), pages 1-10, January.
    • Handle: RePEc:gam:jmathe:v:7:y:2019:i:1:p:96-:d:198518
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    Citations

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    Cited by:

    1. 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.
    2. Tahir Mahmood & Ubaid ur Rehman & Zeeshan Ali & Muhammad Aslam & Ronnason Chinram, 2022. "Identification and Classification of Aggregation Operators Using Bipolar Complex Fuzzy Settings and Their Application in Decision Support Systems," Mathematics, MDPI, vol. 10(10), pages 1-19, May.

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