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Article type: Research Article
Authors: Hu, Boa | Bi, Lvqingb; c | Dai, Songsongc; * | Li, Sizhaod
Affiliations: [a] School of Mechanical and Electrical Engineering, Guizhou Normal University, Guiyang, China | [b] 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 | [c] School of Information Science and Engineering, Xiamen University, Xiamen, China | [d] College of Computer Science and Technology, Harbin Engineering University, Harbin, China
Correspondence: [*] Corresponding author. Songsong Dai, School of Information Science and Engineering, Xiamen University, Xiamen 361005, China. E-mail: ssdai@stu.xmu.edu.cn.
Abstract: A complex fuzzy set is a set whose membership grades are complex values in the unit circle in the complex plane. This paper introduces the concept of approximate parallelity between complex fuzzy sets based on the phase of complex-valued membership grade. After that, the property of approximate parallelity preserving for complex fuzzy operators and complex fuzzy inference are investigated.
Keywords: Approximate parallelity, approximate parallelity preserving, complex fuzzy sets, complex fuzzy operators, complex fuzzy inference
DOI: 10.3233/JIFS-181131
Journal: Journal of Intelligent & Fuzzy Systems, vol. 35, no. 6, pp. 6343-6351, 2018
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