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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