Approximate orthogonality of complex fuzzy sets and approximately orthogonality preserving operators

Article type: Research Article

Authors: Hu, Bo^a | Bi, Lvqing^b | Dai, Songsong^{c; *}

Affiliations: [a] School of Big Data and Computer Science, 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 Electronics and Information Engineering, Taizhou University, Taizhou, China

Correspondence: [*] Corresponding author. Songsong Dai, School of Electronics and Information Engineering, Taizhou University, Taizhou 318000, China. E-mail: ssdai@stu.xmu.edu.cn

Abstract: This paper presents the notion of approximate orthogonality of complex fuzzy sets, which is a generalization of the existing concept. Based on the new concept, we present some basic properties of the approximate orthogonality of complex fuzzy sets. Furthermore, we discuss approximately orthogonality preserving with respect to complement, union and intersection operations of complex fuzzy sets.

Keywords: Complex fuzzy sets, operators, approximate orthogonality, approximately orthogonality preserving

DOI: 10.3233/JIFS-182643

Journal: Journal of Intelligent & Fuzzy Systems, vol. 37, no. 4, pp. 5025-5030, 2019