TRUE-FALSE STRUCTURES AND ITS APPLICATION IN GROUPS AND BCK/BCI-ALGEBRAS
Publish place: Journal of Algebraic Systems، Vol: 14، Issue: 1
Publish Year: 1405
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:
JR_JAS-14-1_001
تاریخ نمایه سازی: 5 آبان 1404
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.
Authors
Mohammad Mohseni Takallo
Department of Mathematics, Faculty of Mathematical Sciences, Shahid Beheshti University, Tehran, Iran.
Rajab Ali Borzooei
Department of Mathematics, Faculty of Mathematical Sciences, Shahid Beheshti University, Tehran, Iran.
Young Bae Jun
Department of Mathematics Education, Gyeongsang National University, Jinju ۵۲۸۲۸, Korea.
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