Generalized Fuzzy Imaginary Ideals of Complemented Semirings

被引：0
|
作者：
Liao, Zu-hua [1 ,2 ]
Zhu, Chan [1 ,2 ]
Luo, Xiao-tang [1 ,2 ]
Hu, Shuang [1 ,2 ]
Liu, Wei-long [1 ]
机构：
[1] Jiangnan Univ, Sch Sci, Wuxi 214122, Peoples R China
[2] Inst Intelligent Syst & Network Comp, Engn Internet Things, Wuxi 214122, Peoples R China
来源：
FUZZY SYSTEMS & OPERATIONS RESEARCH AND MANAGEMENT | 2016年 / 367卷
关键词：
(is an element of; is an element of q((lambda; mu))); fuzzy imaginary ideal generalized fuzzy imaginary ideal homomorphic preimage;
D O I：
10.1007/978-3-319-19105-8_10
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
Our aim in this paper is to introduce and study the newtype of fuzzy ideals of a complemented semiring called generalized fuzzy imaginary right (resp.left) ideals and the direct products of them. The equivalence relation of them is given, besides, the fundamental properties of their intersection, union and level sets are discussed. Finally, we also investigated the properties of their homomorphic preimage.
引用
收藏
页码：109 / 116
页数：8
相关论文
共 50 条
  • [41] Prime Ideals in Semirings
    Gupta, Vishnu
    Chaudhari, J. N.
    BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2011, 34 (02) : 417 - 421
  • [42] Ideals in Quotient Semirings
    Atani, Shahabaddin Ebrahimi
    Garfami, Ameneh Gholamalipour
    CHIANG MAI JOURNAL OF SCIENCE, 2013, 40 (01): : 77 - 82
  • [43] Regular and intra-regular semirings in terms of bipolar fuzzy ideals
    Muhammad Shabir
    Saba Liaquat
    Shahida Bashir
    Computational and Applied Mathematics, 2019, 38
  • [44] ON THE RADICAL OF IDEALS IN SEMIRINGS
    Sanborisoot, Jatuporn
    Lekkoksung, Nareupanat
    INTERNATIONAL JOURNAL OF INNOVATIVE COMPUTING INFORMATION AND CONTROL, 2025, 21 (01): : 85 - 98
  • [45] Some properties on intuitionistic Q-fuzzy k-ideals and k-Q-fuzzy ideals in Γ-semirings
    Massa'deh, Mourad Oqla
    Fellatah, Ahlam
    AFRIKA MATEMATIKA, 2019, 30 (7-8) : 1145 - 1152
  • [46] On Partitioning Ideals of Semirings
    Gupta, Vishnu
    Chaudhari, Jayprakash Ninu
    KYUNGPOOK MATHEMATICAL JOURNAL, 2006, 46 (02): : 181 - 184
  • [47] Some properties of normal anti-L-fuzzy ideals in semirings
    Yang, Y.
    Li, L.
    Lanzhou Daxue Xuebao/Journal of Lanzhou University, 2001, 37 (03):
  • [48] Kernel fuzzy ideals and *-fuzzy congruences on pseudo-complemented almost distributive lattices
    Norahun, Wondwosen Zemene
    Tadesse, Dawit Solomon
    JOURNAL OF DISCRETE MATHEMATICAL SCIENCES & CRYPTOGRAPHY, 2023, 26 (02): : 459 - 478
  • [49] An efficient approach to study multi-polar fuzzy ideals of semirings
    Shahida Bashir
    Talal Alharbi
    Rabia Mazhar
    Issra Khalid
    Muneeb ul Hassan Afzal
    Nauman Riaz Chaudhry
    Scientific Reports, 14
  • [50] An efficient approach to study multi-polar fuzzy ideals of semirings
    Bashir, Shahida
    Alharbi, Talal
    Mazhar, Rabia
    Khalid, Issra
    ul Hassan Afzal, Muneeb
    Riaz Chaudhry, Nauman
    SCIENTIFIC REPORTS, 2024, 14 (01)
12345