TRUE-FALSE STRUCTURES AND ITS APPLICATION IN GROUPS AND BCK/BCI-ALGEBRAS

Document Type : Original Manuscript

Authors

1 Department of Mathematics, Faculty of Mathematical Sciences, Shahid Beheshti University, Tehran, Iran.

2 Department of Mathematics Education, Gyeongsang National University, Jinju 52828, Korea.

Abstract

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.

Keywords

References

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Journal of Algebraic Systems
Volume 14, Issue 1
January 2026
Pages 1-28

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