Complex Fuzzy Sets with Application in BCK/BCI-Algebras
Bulletin of the Section of Logic, Tome 48 (2019) no. 3, pp. 173-185.

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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.
Keywords: complex t-norm, min-complex t-norm, complex subalgebra, complex left (right) reduced ideal, complex characteristic function
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     author = {Jun, Young Bae and Xin, Xiao Long},
     title = {Complex {Fuzzy} {Sets} with {Application} in {BCK/BCI-Algebras}},
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     year = {2019},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/BSL_2019_48_3_a1/}
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Jun, Young Bae; Xin, Xiao Long. Complex Fuzzy Sets with Application in BCK/BCI-Algebras. Bulletin of the Section of Logic, Tome 48 (2019) no. 3, pp. 173-185. http://geodesic.mathdoc.fr/item/BSL_2019_48_3_a1/