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TRUE-FALSE STRUCTURES AND ITS APPLICATION IN GROUPS AND BCK/BCI-ALGEBRAS; ساختارهای درست نادرست و کاربرد آن در گروه ها و BCK/BCI - جبرها

Authors
Mohseni, Takallo M.Borzooei, R.A.Jun, Y.B.
Issue Date
Jan-2026
Publisher
Shahrood University of Technology
Keywords
(Limited) T&F-Subalgebra; (Limited) T&F-Subgroup; True-False structure
Citation
Journal of Algebraic Systems, v.14, no.1, pp 1 - 28
Pages
28
Indexed
SCOPUS
Journal Title
Journal of Algebraic Systems
Volume
14
Number
1
Start Page
1
End Page
28
URI
https://scholarworks.gnu.ac.kr/handle/sw.gnu/81059
DOI
10.22044/JAS.2024.13268.1736
ISSN
2345-511X
2345-511X
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 intersection of two T&Fsubgroups (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. © 2025 Elsevier B.V., All rights reserved.
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