ATANASSOV'S INTUITIONISTIC FUZZY INTERIOR IDEALS OF Γ-SEMIGROUPS

被引：0
|
作者：
Davvaz, Bijan [1 ]
Majumder, Samit Kumar [2 ]
机构：
[1] Yazd Univ, Dept Math, Yazd, Iran
[2] Tarangapur NK High Sch, Uttar Dinajpur 733129, W Bengal, India
来源：
UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS | 2011年 / 73卷 / 03期
关键词：
Gamma-semigroup; intuitionistic fuzzy set; intuitionistic fuzzy interior ideal; intuitionistic fuzzy characteristic interior ideal; simple Gamma-semigroup; SETS;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The notion of intuitionistic fuzzy sets was introduced by Atanassov as a generalization of the notion of fuzzy sets. The purpose of this paper is to introduce a generalization of ideas presented in [20]. Indeed, we study the concept of intuitionistic fuzzy interior ideals of a Gamma-semigroup, by using Atanassov's idea and investigate some of their important properties. Specially, we obtain a characterization of a simple Gamma-semigroup in terms of intuitionistic fuzzy interior ideals.
引用
收藏
页码：45 / 60
页数：16
相关论文
共 50 条
  • [1] Atanassov's intuitionistic fuzzy interior ideals of Γ-semigroups
    Davvaz, Bijan
    Majumder, Samit Kumar
    [J]. UPB Scientific Bulletin, Series A: Applied Mathematics and Physics, 2011, 73 (03): : 45 - 60
  • [2] ATANASSOV'S INTUITIONISTIC FUZZY IDEALS OF PO-Gamma-SEMIGROUPS
    Sardar, Sujit Kumar
    Pal, Pavel
    Majumder, Samit Kumar
    Das, Parimal
    [J]. KRAGUJEVAC JOURNAL OF MATHEMATICS, 2013, 37 (01): : 87 - 101
  • [3] On the Definition of Atanassov's Intuitionistic Fuzzy Subrings and Ideals
    Rahman, Saifur
    Saikia, Helen K.
    Davvaz, B.
    [J]. BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2013, 36 (02) : 401 - 418
  • [4] Intuitionistic fuzzy ideals of semigroups
    Kim, KH
    Jun, YB
    [J]. INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 2002, 33 (04): : 443 - 449
  • [5] FUZZY INTERIOR IDEALS IN SEMIGROUPS
    SUNG, MH
    YOUNG, BJ
    JIE, M
    [J]. INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 1995, 26 (09): : 859 - 863
  • [6] ATANASSOV'S INTUITIONISTIC FUZZY TRANSLATIONS OF INTUITIONISTIC FUZZY SUBALGEBRAS AND IDEALS IN BCK/BCI-ALGEBRAS
    Senapati, T.
    Bhowmik, M.
    Pal, M.
    Davvaz, B.
    [J]. EURASIAN MATHEMATICAL JOURNAL, 2015, 6 (01): : 96 - 114
  • [7] INTUITIONISTIC FUZZY SEMIPRIME IDEALS OF A SEMIGROUPS
    Ahn, Tae Chon
    Hur, Kul
    Kang, Hak Soo
    [J]. JOURNAL OF THE KOREAN SOCIETY OF MATHEMATICAL EDUCATION SERIES B-PURE AND APPLIED MATHEMATICS, 2007, 14 (03): : 139 - 151
  • [8] Generalized Ω-Fuzzy Interior Ideals in Semigroups
    Luo, Xiao-Tang
    Liao, Zu-Hua
    Liu, Xiao-Ni
    Liu, Wei-Long
    [J]. INTERNATIONAL JOINT CONFERENCE ON APPLIED MATHEMATICS, STATISTICS AND PUBLIC ADMINISTRATION (AMSPA 2014), 2014, : 301 - 308
  • [9] (α, β)-fuzzy interior ideals in ordered semigroups
    Khan A.
    Shabir M.
    [J]. Lobachevskii Journal of Mathematics, 2009, 30 (1) : 30 - 39
  • [10] Generalized fuzzy interior ideals of semigroups
    Jianming Zhan
    Young Bae Jun
    [J]. Neural Computing and Applications, 2010, 19 : 515 - 519
12345