True-False structures and its application in groups and BCK/BCI-algebras

Articles in Press

Document Type : Original Manuscript

Authors

1 Department of Mathematics, Faculty of Mathematical Sciences, Shahid Beheshti University,

2 Shahid Beheshti University

3 Gyeongsang National University, 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

Journal of Algebraic Systems

Articles in Press, Accepted Manuscript
Available Online from 09 April 2024

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