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
  • [41] (∈, ∈ ∨ q)-fuzzy subnear-rings and ideals
    B. Davvaz
    Soft Computing, 2006, 10 : 206 - 211
  • [42] Generalized fuzzy ideals of near-rings
    Davvaz B.
    AppliedMathematics:AJournalofChineseUniversities(SeriesB), 2009, 24 (03) : 343 - 349
  • [43] On the Algebraic Attributes of (α, β)-Pythagorean Fuzzy Subrings and (α, β)-Pythagorean Fuzzy Ideals of Rings
    Bhunia, Supriya
    Ghorai, Ganesh
    Xin, Qin
    Gulzar, Muhammad
    IEEE ACCESS, 2022, 10 : 11048 - 11056
  • [44] On Fuzzy k-ideals and Anti-fuzzy k-ideals in Γ-hemi-rings
    SJAlandkar
    YSPawar
    模糊系统与数学, 2011, 25 (02) : 33 - 39
  • [45] An approach to fuzzy multi-ideals of near rings
    Al Tahan, Madeline
    Hoskova-Mayerova, Sarka
    Davvaz, Bijan
    JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2021, 41 (06) : 6233 - 6243
  • [46] Fuzzy bi-ideals in LA-rings
    Kausar, Nasreen
    Munir, Mohammad
    ul Islam, Badar
    Alesemi, Meshari
    Salahuddin
    Gulzar, Muhammad
    ITALIAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2020, (44): : 745 - 763
  • [47] Generalization of (∈, ∈ vq)-fuzzy subnear-rings and ideals
    Dheena, P.
    Coumaressane, S.
    IRANIAN JOURNAL OF FUZZY SYSTEMS, 2008, 5 (01): : 79 - 97
  • [48] Redefined generalized fuzzy ideals of near-rings
    Jian-ming Zhan
    Yun-qiang Yin
    Applied Mathematics-A Journal of Chinese Universities, 2010, 25 : 341 - 348
  • [49] Strongly Prime Fuzzy Ideals Over Noncommutative Rings
    Bergamaschi, Flaulles Boone
    Santiago, Regivan H. N.
    2013 IEEE INTERNATIONAL CONFERENCE ON FUZZY SYSTEMS (FUZZ - IEEE 2013), 2013,
  • [50] Redefined generalized fuzzy ideals of near-rings
    Zhan Jian-ming
    Yin Yun-qiang
    APPLIED MATHEMATICS-A JOURNAL OF CHINESE UNIVERSITIES SERIES B, 2010, 25 (03) : 341 - 348
12345