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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
- Mohseni, Takallo M.;
- Borzooei, R.A.;
- Jun, Y.B.
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0초록
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.
키워드
(Limited) T&F-Subalgebra; (Limited) T&F-Subgroup; True-False structure
- 제목
- 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
- 저자
- Mohseni, Takallo M.; Borzooei, R.A.; Jun, Y.B.
- 발행일
- 2026-01
- 유형
- Article
- 저널명
- Journal of Algebraic Systems
- 권
- 14
- 호
- 1
- 페이지
- 1 ~ 28