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Mathematics 2019, 7(1), 96;

Two Classes of Entropy Measures for Complex Fuzzy Sets

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
School of Big Data and Computer Science, Guizhou Normal University, Guiyang 550025, China
Author to whom correspondence should be addressed.
These authors contributed equally to this work.
Received: 19 December 2018 / Revised: 15 January 2019 / Accepted: 15 January 2019 / Published: 17 January 2019
(This article belongs to the Special Issue Fuzziness and Mathematical Logic)
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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. View Full-Text
Keywords: complex fuzzy sets; entropy; rotational invariance complex fuzzy sets; entropy; rotational invariance

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Bi, L.; Zeng, Z.; Hu, B.; Dai, S. Two Classes of Entropy Measures for Complex Fuzzy Sets. Mathematics 2019, 7, 96.

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