Two Classes of Entropy Measures for Complex Fuzzy Sets

Lvqing Bi, Zhiqiang Zeng, Bo Hu and Songsong Dai
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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
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
Bo Hu: College of Electronic Science and Technology, Xiamen University, Xiamen 361005, China
Songsong Dai: College of Electronic Science and Technology, Xiamen University, Xiamen 361005, China

Mathematics, 2019, vol. 7, issue 1, 1-10

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.

Keywords: complex fuzzy sets; entropy; rotational invariance (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
References: View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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