Fuzzy Ideals and Fuzzy Interior Ideals in Ordered Semirings

被引:16
|
作者
Mandal, Debabrata [1 ]
机构
[1] Raja Peary Mohan Coll, Dept Math, Hooghly 712258, W Bengal, India
关键词
Cartesian product; Fuzzy ideal; Fuzzy interior ideal; Homomorphism; Ordered semiring;
D O I
10.1016/j.fiae.2014.06.008
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The notions of fuzzy ideals and fuzzy interior ideals in ordered semirings are introduced and some of their characterizations are obtained through regularity criterion and with some operations on them.
引用
收藏
页码:101 / 114
页数:14
相关论文
共 50 条
  • [41] Tripolar fuzzy soft ideals and tripolar fuzzy soft interior ideals over semiring
    Rao, M. Murali Krishna
    Venkateswarlu, B.
    Narayana, Y. Adi
    ITALIAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2019, (42): : 731 - 743
  • [42] TRIPOLAR FUZZY SOFT IDEALS AND TRIPOLAR FUZZY SOFT INTERIOR IDEALS OVER Γ-SEMIRING
    Rao, M. Murali Krishna
    Venkateswarlu, B.
    FACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICS, 2020, 35 (01): : 29 - 42
  • [43] On the Primary Decomposition of k-Ideals and Fuzzy k-Ideals in Semirings
    Sharma, Ram Parkash
    Dadhwal, Madhu
    Sharma, Richa
    Kar, S.
    FUZZY INFORMATION AND ENGINEERING, 2021, 13 (02) : 223 - 235
  • [44] (lambda, mu)-fuzzy interior ideals of ordered Gamma-semigroups
    Feng, Yuming
    Corsini, P.
    ALGEBRA & DISCRETE MATHEMATICS, 2013, 16 (01): : 61 - 70
  • [45] Purities of Ordered Ideals of Ordered Semirings
    Ayutthaya, Pakorn Palakawong Na
    Pibaljommee, Bundit
    KYUNGPOOK MATHEMATICAL JOURNAL, 2020, 60 (03): : 455 - 465
  • [46] On Order Ideals of Ordered Semirings
    黄福生
    江西师范大学学报(自然科学版), 1998, (01) : 13 - 16
  • [47] Generalized Ω-Fuzzy Interior Ideals in Semigroups
    Luo, Xiao-Tang
    Liao, Zu-Hua
    Liu, Xiao-Ni
    Liu, Wei-Long
    INTERNATIONAL JOINT CONFERENCE ON APPLIED MATHEMATICS, STATISTICS AND PUBLIC ADMINISTRATION (AMSPA 2014), 2014, : 301 - 308
  • [48] Generalized fuzzy interior ideals of semigroups
    Zhan, Jianming
    Jun, Young Bae
    NEURAL COMPUTING & APPLICATIONS, 2010, 19 (04): : 515 - 519
  • [49] A study on fuzzy interior ideals of Γ-semigroups
    Sardar, Sujit Kumar
    Davvaz, Bijan
    Majumder, Samit Kumar
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2010, 60 (01) : 90 - 94
  • [50] Generalized fuzzy interior ideals of semigroups
    Jianming Zhan
    Young Bae Jun
    Neural Computing and Applications, 2010, 19 : 515 - 519