Two Classes of Entropy Measures for Complex Fuzzy Sets
Lvqing Bi,
Zhiqiang Zeng,
Bo Hu,
Songsong Dai
Affiliations
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
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.
