By utilizing the concept of interval-valued fuzzy sets, a novel structure called True-False structures is introduced. Its application in groups and BCK/BCI-algebras is discussed. The introduction of (limited) T &F -subgroups and (limited) T &F -subalgebras is carried out, along with an investigation of various associated properties. Characterizations of (limited) T&F- subgroups and (limited) T&F-subalgebras are provided, and it is demonstrated that the in- tersection of two T &F -subgroups (respectively, T &F -subalgebras) also forms a T &F -subgroup (respectively, T &F -subalgebra). Additionally, the union and intersection of two T &F -subgroups (respectively, T&F-subalgebras) are explored.
Mohseni Takallo, M. , Borzooei, R. A. and Jun, Y. B. (2024). True-False structures and its application in groups and BCK/BCI-algebras. Journal of Algebraic Systems, (), -. doi: 10.22044/jas.2024.13268.1736
MLA
Mohseni Takallo, M. , , Borzooei, R. A. , and Jun, Y. B. . "True-False structures and its application in groups and BCK/BCI-algebras", Journal of Algebraic Systems, , , 2024, -. doi: 10.22044/jas.2024.13268.1736
HARVARD
Mohseni Takallo, M., Borzooei, R. A., Jun, Y. B. (2024). 'True-False structures and its application in groups and BCK/BCI-algebras', Journal of Algebraic Systems, (), pp. -. doi: 10.22044/jas.2024.13268.1736
CHICAGO
M. Mohseni Takallo , R. A. Borzooei and Y. B. Jun, "True-False structures and its application in groups and BCK/BCI-algebras," Journal of Algebraic Systems, (2024): -, doi: 10.22044/jas.2024.13268.1736
VANCOUVER
Mohseni Takallo, M., Borzooei, R. A., Jun, Y. B. True-False structures and its application in groups and BCK/BCI-algebras. Journal of Algebraic Systems, 2024; (): -. doi: 10.22044/jas.2024.13268.1736
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