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
来源：
FUZZY INFORMATION AND ENGINEERING | 2014年 / 6卷 / 01期
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
  • [21] Characterizations of ordered semigroups in terms of (∈, ∈ ∨q)-fuzzy interior ideals
    Asghar Khan
    Young Bae Jun
    Muhammad Zaheer Abbas
    Neural Computing and Applications, 2012, 21 : 433 - 440
  • [22] Anti fuzzy interior ideals on Ordered AG-groupoids
    Kausar, Nasreen
    Alesemi, Meshari
    Salahuddin
    EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2020, 13 (01): : 113 - 129
  • [23] Fuzzy Interior Ideals with Thresholds (s, t] in Ordered Semigroups
    Siripitukdet, Manoj
    Ruanon, Anusara
    THAI JOURNAL OF MATHEMATICS, 2013, 11 (02): : 371 - 382
  • [24] A study on ordered AG-groupoids by their fuzzy interior ideals
    Kausar, Nasreen
    Alesemi, Meshari
    Salahuddin, Salahuddin
    Munir, Mohammad
    INTERNATIONAL JOURNAL OF ADVANCED AND APPLIED SCIENCES, 2020, 7 (07): : 75 - 82
  • [25] Characterizations of ordered semigroups in terms of (a, a a q)-fuzzy interior ideals
    Khan, Asghar
    Jun, Young Bae
    Abbas, Muhammad Zaheer
    NEURAL COMPUTING & APPLICATIONS, 2012, 21 (03): : 433 - 440
  • [26] Ordered almost ideals and fuzzy ordered almost ideals in ordered semigroups
    Suebsung, Sudaporn
    Yonthanthum, Winita
    Chinram, Ronnason
    ITALIAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2023, (48): : 1206 - 1217
  • [27] Ordered almost ideals and fuzzy ordered almost ideals in ordered semigroups
    Suebsung, Sudaporn
    Yonthanthum, Winita
    Chinram, Ronnason
    ITALIAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2022, (48): : 1206 - 1217
  • [28] Ordered Γ-Semigroups and Fuzzy Γ-Ideals
    Mahboob, Ahsan
    Davvaz, Bijan
    Khan, Noor Mohammad
    IRANIAN JOURNAL OF MATHEMATICAL SCIENCES AND INFORMATICS, 2021, 16 (02): : 145 - 162
  • [29] On L-fuzzy Ideals in Semirings I
    Young Bae Jun
    J. Neggers
    Hee Sik Kim
    Czechoslovak Mathematical Journal, 1998, 48 : 669 - 675
  • [30] k-Fuzzy ideals of ternary semirings
    Malee, Sathinee
    Chinram, Ronnason
    International Journal of Computational and Mathematical Sciences, 2010, 4 (04): : 206 - 210
12345