Complex-Valued Migrativity of Complex Fuzzy Operations

Yingying Xu, Haifeng Song, Lei Du, Songsong Dai and Lazim Abdullah

Journal of Mathematics, 2022, vol. 2022, 1-6

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.

Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:1813717

DOI: 10.1155/2022/1813717

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