Intuitionistic nil radicals of intuitionistic fuzzy ideals and Euclidean intuitionistic fuzzy ideals in rings

被引:30
|
作者
Jun, Young Bae
Oztuerk, Mehmet Ali
Park, Chul Hwan [1 ]
机构
[1] Univ Ulsan, Dept Math, Ulsan 680749, South Korea
[2] Cumhurijet Univ, Fac Arts & Sci, Dept Math, TR-58140 Sivas, Turkey
[3] Gyeongsang Natl Univ, Dept Math Educ, RINS, Chinju 660, South Korea
关键词
intuitionistic nil radical; semiprime intuitionistic fuzzy ideal; Euclidean intuitionistic fuzzy ideal; intuitionistic intrinsic product; intuitionistic sum;
D O I
10.1016/j.ins.2007.03.020
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
The notion of intuitionistic nil radicals of intuitionistic fuzzy ideals in rings is introduced, and related properties are investigated. The notion of semiprime intuitionistic fuzzy ideals is provided, and its characterization is established. The concept of Euclidean intuitionistic fuzzy ideals is also introduced, and its characterization is established. (c) 2007 Elsevier Inc. All rights reserved.
引用
收藏
页码:4662 / 4677
页数:16
相关论文
共 50 条
  • [41] INTUITIONISTIC FUZZY COMMUTATIVE IDEALS OF BCK-ALGEBRAS
    Jun, Young Bae
    Lee, Dong Soo
    Park, Chul Hwan
    JOURNAL OF THE KOREAN SOCIETY OF MATHEMATICAL EDUCATION SERIES B-PURE AND APPLIED MATHEMATICS, 2008, 15 (01): : 73 - 84
  • [42] INTUITIONISTIC HESITANT FUZZY SUBALGEBRAS AND IDEALS OF HILBERT ALGEBRAS
    Iampan, Aiyared
    Subasini, Ramasamy
    Meenakshi, Ponnusamy Maragatha
    Rajesh, Neelamegarajan
    INTERNATIONAL JOURNAL OF INNOVATIVE COMPUTING INFORMATION AND CONTROL, 2023, 19 (06): : 1919 - 1931
  • [43] Intuitionistic Fuzzy Ideals of Sub-BCI-Algebras
    Chen, Lu
    2010 INTERNATIONAL CONFERENCE ON INFORMATION, ELECTRONIC AND COMPUTER SCIENCE, VOLS 1-3, 2010, : 2124 - 2127
  • [44] On Intuitionistic Fuzzy Prime Bi-Ideals of Semigroups
    Shabir, Muhammad
    Arif, Muhammad Shoaib
    Khan, Asghar
    Aslam, Muhammad
    BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2012, 35 (04) : 983 - 996
  • [45] On the Definition of Atanassov's Intuitionistic Fuzzy Subrings and Ideals
    Rahman, Saifur
    Saikia, Helen K.
    Davvaz, B.
    BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2013, 36 (02) : 401 - 418
  • [46] Ordered Semigroups Characterized in Terms of Intuitionistic Fuzzy Ideals
    Khan, Noor Mohammad
    Khan, Mohammad Aasim
    ALGEBRA AND ITS APPLICATIONS, ICAA 2014, 2016, 174 : 397 - 420
  • [47] On the Definition of Intuitionistic Fuzzy h-ideals of Hemirings
    Rahman, Saifur
    Saikia, Helen Kumari
    KYUNGPOOK MATHEMATICAL JOURNAL, 2013, 53 (03): : 435 - 457
  • [48] Intuitionistic fuzzy (1,2)-ideals of semigroups
    Wang, Fengxiao
    SECOND INTERNATIONAL CONFERENCE ON PHYSICS, MATHEMATICS AND STATISTICS, 2019, 1324
  • [50] Atanassov's intuitionistic fuzzy interior ideals of Γ-semigroups
    Davvaz, Bijan
    Majumder, Samit Kumar
    UPB Scientific Bulletin, Series A: Applied Mathematics and Physics, 2011, 73 (03): : 45 - 60