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  • 标题:Complex Fuzzy Sets with Application in BCK/BCI-Algebras
  • 本地全文:下载
  • 作者:Young Bae Jun ; Xiao Long Xin
  • 期刊名称:Bulletin of the Section of Logic
  • 印刷版ISSN:0138-0680
  • 电子版ISSN:2449-836X
  • 出版年度:2019
  • 卷号:48
  • 期号:3
  • 页码:173-185
  • DOI:10.18778/0138-0680.48.3.02
  • 出版社:Lodz University Press
  • 摘要:As a generation of fuzzy set, the notion of complex fuzzy set which is an innovative concept is introduced by Ramot, Milo, Friedman and Kandel. The purpose of this article is to apply complex fuzzy set to BCK/BCI-algebras. The notions of a complex subalgebra and a complex left (right) reduced ideal in a BCK/BCI- algebra are introduced, and related properties are investigated. Characterizations of a complex subalgebra are provided, and the homomorphic image (preimage) of a complex subalgebra and a complex left (right) reduced ideal.
  • 其他摘要:As a generation of fuzzy set, the notion of complex fuzzy set which is an innovative concept is introduced by Ramot, Milo, Friedman and Kandel. The purpose of this article is to apply complex fuzzy set to BCK/BCI-algebras. The notions of a complex subalgebra and a complex left (right) reduced ideal in a BCK/BCI- algebra are introduced, and related properties are investigated. Characterizations of a complex subalgebra are provided, and the homomorphic image (preimage) of a complex subalgebra and a complex left (right) reduced ideal.
  • 关键词:complex t-norm; min-complex t-norm; complex subalgebra; complex left (right) reduced ideal; complex characteristic function.
  • 其他关键词:complex t-norm;min-complex t-norm;complex subalgebra;complex left (right) reduced ideal;complex characteristic function
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