Affiliations: [a] School of Electronics and Communication Engineering, Guangxi Colleges and Universities Key Laboratory of Complex System Optimization and Big Data Processing, Yulin Normal University, Yulin, China
| [b] School of Information Science and Engineering, Xiamen University, Xiamen, China
| [c] School of Mechanical and Electrical Engineering, Guizhou Normal University, Guiyang, China
Correspondence:
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Corresponding author. Songsong Dai, School of Information Science and Engineering, Xiamen University, Xiamen 361005, China. E-mail: ssdai@stu.xmu.edu.cn.
Abstract: Complex fuzzy sets have been successfully applied to many domains. In some applications, complex fuzzy operators play an vital role, especially those results depend on the particular choice of the conjunction, disjunction and complement operators. This paper introduces an equivalence relation on complex fuzzy sets, called parallelity. Then we provide a criterion that operators should satisfy the property of parallelity preserving, for the choices of complex fuzzy operators. Finally, several parallelity preserving inference methods are discussed for complex fuzzy reasoning.
