New types of fuzzy ideals of BCI-algebras

被引：7
|
作者：
Ma, Xueling [1 ]
Zhan, Jianming [1 ]
Jun, Young Bae [2 ]
机构：
[1] Hubei Inst Nationalities, Dept Math, Enshi 445000, Hubei Province, Peoples R China
[2] Gyeongsang Natl Univ, Dept Math Educ, Chinju 660701, South Korea
来源：
NEURAL COMPUTING & APPLICATIONS | 2012年 / 21卷
基金：
中国国家自然科学基金;
关键词：
BCI-algebra; (p-; q- and a-) ideal; (is an element of(gamma); is an element of(gamma) boolean OR q(delta))-fuzzy (p-; ((is an element of(gamma))over-bar; (is an element of(gamma))over-bar boolean OR(q(delta))over-bar)-(p-; (IS-AN-ELEMENT-OF;
D O I：
10.1007/s00521-011-0558-x
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
The concepts of (is an element of(gamma), is an element of(gamma) boolean OR q(delta))-fuzzy (p-, q- and a-) ideals and ((is an element of(gamma)) over bar, (is an element of(gamma)) over bar boolean OR(q(delta)) over bar -fuzzy (p-, q- and a-) ideals in BCI-algebras are introduced. Some new characterizations are investigated. In particular, we prove that a fuzzy set mu of a BCI-algebra X is an (is an element of(gamma), is an element of(gamma) boolean OR q(delta))-fuzzy a-ideal of X if and only if it is both an (is an element of(gamma), is an element of(gamma) boolean OR q(delta))-fuzzy p-ideal and an (is an element of(gamma), is an element of(gamma) boolean OR q(delta))-fuzzy q-ideal.
引用
收藏
页码：S19 / S27
页数：9
相关论文
共 50 条
  • [11] Fuzzy H-ideals in BCI-algebras
    Khalid, HM
    Ahmad, B
    FUZZY SETS AND SYSTEMS, 1999, 101 (01) : 153 - 158
  • [12] Different types of cubic ideals in BCI-algebras based on fuzzy points
    Chiranjibe Jana
    Tapan Senapati
    Madhumangal Pal
    Arsham Borumand Saeid
    Afrika Matematika, 2020, 31 : 367 - 381
  • [13] TRANSLATIONS OF FUZZY IDEALS IN BCK/BCI-ALGEBRAS
    Jun, Young Bae
    HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, 2011, 40 (03): : 349 - 358
  • [14] ON (∈, ∈ V q)-FUZZY IDEALS OF BCI-ALGEBRAS
    Zhan, J.
    Jun, Y. B.
    Davvaz, B.
    IRANIAN JOURNAL OF FUZZY SYSTEMS, 2009, 6 (01): : 81 - 94
  • [15] A New Approach of Complex Fuzzy Ideals in BCK/BCI-Algebras
    Balamurugan, Manivannan
    Ramesh, Thukkaraman
    Al-Masarwah, Anas
    Alsager, Kholood
    MATHEMATICS, 2024, 12 (10)
  • [16] New types of (α, β) - fuzzy subalgebras of BCK/BCI-algebras
    Muhiuddin, G.
    Shum, K. P.
    INTERNATIONAL JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE, 2019, 14 (02): : 449 - 464
  • [17] BIPOLAR FUZZY a-IDEALS OF BCI-ALGEBRAS
    Lee, Kyoung Ja
    Jun, Young Bae
    COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY, 2011, 26 (04): : 531 - 542
  • [18] On characterizations of generalized fuzzy ideals of BCI-algebras
    Zhan, Jianming
    Liu, Yong Lin
    Jun, Young Bae
    INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2009, 86 (12) : 1989 - 2007
  • [19] Multipolar fuzzy a-ideals in BCI-algebras
    Borzooei, Rajab Ali
    Rezaei, Gholam Reza
    Muhiuddin, G.
    Jun, Young Bae
    INTERNATIONAL JOURNAL OF MACHINE LEARNING AND CYBERNETICS, 2021, 12 (08) : 2339 - 2348
  • [20] Some kinds of (∈γ, ∈γ ∨qδ)-fuzzy ideals of BCI-algebras
    Ma, Xueling
    Zhan, Jianming
    Jun, Young Bae
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2011, 61 (04) : 1005 - 1015
12345