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Complex-Valued Migrativity of Complex Fuzzy Operations

Author

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  • Yingying Xu
  • Haifeng Song
  • Lei Du
  • Songsong Dai
  • Lazim Abdullah

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.

Suggested Citation

  • Yingying Xu & Haifeng Song & Lei Du & Songsong Dai & Lazim Abdullah, 2022. "Complex-Valued Migrativity of Complex Fuzzy Operations," Journal of Mathematics, Hindawi, vol. 2022, pages 1-6, April.
    • Handle: RePEc:hin:jjmath:1813717
    DOI: 10.1155/2022/1813717
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    Cited by:

    1. Manivannan Balamurugan & Thukkaraman Ramesh & Anas Al-Masarwah & Kholood Alsager, 2024. "A New Approach of Complex Fuzzy Ideals in BCK/BCI-Algebras," Mathematics, MDPI, vol. 12(10), pages 1-18, May.

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