Complex-Valued Migrativity of Complex Fuzzy Operations. (6th April 2022)

• Record Type: Journal Article
• Authors: Xu, Yingying; Song, Haifeng; Du, Lei; Dai, Songsong
• Other Names: Abdullah Lazim Academic Editor.
• Is Part Of: Journal of mathematics. Volume 2022(2022)
• Publication Date: 2022-04-06
• Subjects: Mathematics -- Periodicals; Mathematics; Periodicals; 510
• DOI: 10.1155/2022/1813717
• Languages: English
• ISSNs: 2314-4629

Abstract

Abstract : Complex fuzzy sets (CFSs), as an important extension of fuzzy sets, have been investigated in the literature. Operators of CFSs are of high importance. In addition, α − migrativity for various fuzzy operations on [0, 1] has been well discussed, where α is a real number and α ∈ 0, 1 . Thus, this paper studies α − migrativity for binary functions on the unit circle of the complex plane O, where α is a complex number and α ∈ O . In particular, we show that a binary function is α − migrativity for all α ∈ O if and only if it is α − migrativity for all α ∈ 0, 1 ∪ O ¯, where O ¯ is the boundary point subset of O . Finally, we discuss the relationship between migrativity and rotational invariance of binary operators on O .