A new view of fuzzy ideals in Γ-rings

被引：0
|
作者：
Ma, Xueling [1 ]
Zhan, Jianming [1 ]
Jun, Young Bae [2 ]
机构：
[1] Hubei Univ 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 / 05期
基金：
中国国家自然科学基金;
关键词：
(regular; semisimple); Gamma-ring; (interior) ideal; (is an element of; is an element of boolean OR q)-fuzzy (interior) ideal; ((is an element of)over-bar; (is an element of)over-bar boolean OR(q)over-bar)-fuzzy interior ideal; H-IDEALS;
D O I：
10.1007/s00521-010-0502-5
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
By means of a kind of new idea, we redefine fuzzy ideals and fuzzy interior ideals in a Gamma-ring and investigate some of their related properties. In particular, we show that the regular and semisimple Gamma-rings can be described by using these kinds of generalized fuzzy ideals.
引用
收藏
页码：921 / 927
页数：7
相关论文
共 50 条
  • [1] A NEW VIEW OF FUZZY GAMMA RINGS
    Ozturk, Mehmet Ali
    Jun, Young Bae
    Yazarli, Hasret
    HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, 2010, 39 (03): : 365 - 378
  • [2] New types of fuzzy ideals of near-rings
    Zhan, Jianming
    Yin, Yunqiang
    NEURAL COMPUTING & APPLICATIONS, 2012, 21 (05): : 863 - 868
  • [3] New types of fuzzy ideals of near-rings
    Jianming Zhan
    Yunqiang Yin
    Neural Computing and Applications, 2012, 21 : 863 - 868
  • [4] PRIME FUZZY IDEALS IN RINGS
    MUKHERJEE, TK
    SEN, MK
    FUZZY SETS AND SYSTEMS, 1989, 32 (03) : 337 - 341
  • [5] Neutrosophic Fuzzy Ideals in Γ Rings
    Durgadevi P.
    Devarasan E.
    Neutrosophic Sets and Systems, 2023, 55 : 285 - 299
  • [6] FUZZY IDEALS IN LASKERIAN RINGS
    Shah, Tariq
    Saeed, Muhammad
    MATEMATICKI VESNIK, 2013, 65 (01): : 74 - 81
  • [7] Fuzzy prime ideals in Γ-rings
    Dutta, T. K.
    Chanda, Tanusree
    BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2007, 30 (01) : 65 - 73
  • [8] FUZZY PRIME IDEALS OF RINGS
    SWAMY, UM
    SWAMY, KLN
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1988, 134 (01) : 94 - 103
  • [9] Fuzzy semiprime ideals in Γ-rings
    Ersoy, Bayram Ali
    INTERNATIONAL JOURNAL OF PHYSICAL SCIENCES, 2010, 5 (04): : 308 - 312
  • [10] FUZZY SEMIPRIMARY IDEALS OF RINGS
    KUMAR, R
    FUZZY SETS AND SYSTEMS, 1991, 42 (02) : 263 - 272
12345