Redefined fuzzy B-algebras

被引:2
|
作者
Zarandi Baghini, A. [1 ]
Borumand Saeid, A. [2 ]
机构
[1] Islamic Azad Univ, Dept Math, Kerman Branch, Kerman, Iran
[2] Shahid Bahonar Univ Kerman, Dept Math, Kerman, Iran
关键词
B-algebra; (alpha; beta)-Fuzzy subalgebra; Fuzzy point;
D O I
10.1007/s10700-008-9045-y
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
By two relations belonging to (∈) and quasi-coincidence (q) between fuzzy points and fuzzy sets, we define the concept of (α, β)-fuzzy subalgebras where α, {β are any two of ∈, q, ∈ ∨ q, ∈ ∧ q} with α≠ ∈ ∧ q . We state and prove some theorems in (α, β)-fuzzy B-algebras. © 2008 Springer Science+Business Media, LLC.
引用
收藏
页码:373 / 386
页数:14
相关论文
共 50 条
  • [1] Redefined fuzzy B-algebras
    A. Zarandi Baghini
    A. Borumand Saeid
    Fuzzy Optimization and Decision Making, 2008, 7 : 373 - 386
  • [2] On fuzzy B-algebras
    Jun, YB
    Roh, EH
    Kim, HS
    CZECHOSLOVAK MATHEMATICAL JOURNAL, 2002, 52 (02) : 375 - 384
  • [3] On fuzzy B-algebras
    Young Bae Jun
    Eun Hwan Roh
    Hee Sik Kim
    Czechoslovak Mathematical Journal, 2002, 52 : 375 - 384
  • [4] On Soft Quantum B-Algebras and Fuzzy Soft Quantum B-Algebras
    Zhang, Xiongwei
    Aljahdali, Sultan
    Khalil, Ahmed Mostafa
    JOURNAL OF MATHEMATICS, 2021, 2021
  • [5] Generalized fuzzy B-algebras
    Baghini, A. Zarandi
    Saeid, A. Borumand
    FUZZY INFORMATION AND ENGINEERING, PROCEEDINGS, 2007, 40 : 226 - +
  • [6] FUZZY HYPER B-ALGEBRAS
    Tabaranza, Georgie F.
    Vilela, Jocelyn P.
    JP JOURNAL OF ALGEBRA NUMBER THEORY AND APPLICATIONS, 2019, 41 (02): : 205 - 218
  • [7] Fuzzy order relative to fuzzy B-algebras
    Gonzaga, Narciso C., Jr.
    Vilela, Jocelyn P.
    ITALIAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2019, (42): : 485 - 493
  • [8] Translations of Intuitionistic Fuzzy B-algebras
    Senapati, Tapan
    FUZZY INFORMATION AND ENGINEERING, 2015, 7 (04) : 389 - 404
  • [9] On fuzzy B-algebras over t-norm
    Ko, Jung Mi
    Ahn, Sun Shin
    JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2015, 19 (06) : 975 - 983
  • [10] DUALITY IN B-ALGEBRAS
    MCKILLIG.SA
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1973, 38 (01) : 86 - 88