Regular and strongly regular relations on soft hyperrings

被引:0
|
作者
S. Ostadhadi-Dehkordi
K. P. Shum
机构
[1] University of Hormozgan,Department of Mathematics
[2] Yunnan University,Institute of Mathematics
来源
Soft Computing | 2019年 / 23卷
关键词
Soft hyperrings; Fuzzy hyperideals; Strongly regular relations; Fuzzy hyperideals;
D O I
暂无
中图分类号
学科分类号
摘要
Soft set theory, introduced by Molodtsov, has been considered as an effective mathematical tool for modeling uncertainties, and soft hyperrings can be regarded as a generalization of soft rings. The motivation for such an investigation is to generalize the concept of quotient soft hyperrings and isomorphism theorems. Also, we consider when the fuzzy hyperideals of a soft hyperring are normal, then the equivalence relations defined by J. Wang et. al. on soft hyperrings are strongly regular. Moreover, the quotient soft hyperrings determined by this equivalence relation are soft rings.
引用
收藏
页码:3253 / 3260
页数:7
相关论文
共 50 条
  • [41] Regular LDPC Codes from Strongly Regular (α,β) -Geometries
    Li Xiuli
    Shan Zhengduo
    2009 INTERNATIONAL FORUM ON INFORMATION TECHNOLOGY AND APPLICATIONS, VOL 2, PROCEEDINGS, 2009, : 11 - 14
  • [42] Strongly transitive geometric spaces on hypergroups from strongly U-regular relations
    Shirvani, M.
    Mirvakili, S.
    Davvaz, B.
    JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2022, 21 (05)
  • [43] Semilattice strongly regular relations on ordered n-ary semihypergroups
    Daengsaen, Jukkrit
    Leeratanavalee, Sorasak
    AIMS MATHEMATICS, 2022, 7 (01): : 478 - 498
  • [44] Von Neumann Regular Hyperrings and Applications to Real Reduced Multirings
    Ribeiro, H. R. O.
    Mariano, H. L.
    ALGEBRA AND LOGIC, 2024, : 215 - 256
  • [45] EMBEDDING ARBITRARY GRAPHS INTO STRONGLY REGULAR AND DISTANCE REGULAR GRAPHS
    Fon-Der-Flaass, D. G.
    SIBERIAN ELECTRONIC MATHEMATICAL REPORTS-SIBIRSKIE ELEKTRONNYE MATEMATICHESKIE IZVESTIYA, 2005, 2 : 218 - 221
  • [46] Strongly Regular Graphs from Weakly Regular Plateaued Functions
    Mesnager, Sihem
    Sinak, Ahmet
    2019 NINTH INTERNATIONAL WORKSHOP ON SIGNAL DESIGN AND ITS APPLICATIONS IN COMMUNICATIONS (IWSDA), 2019,
  • [47] ON REGULAR AND STRONGLY-REGULAR SELF-COMPLEMENTARY GRAPHS
    RAO, SB
    DISCRETE MATHEMATICS, 1985, 54 (01) : 73 - 82
  • [48] Observability in Connected Strongly Regular Graphs and Distance Regular Graphs
    Kibangou, Alain Y.
    Commault, Christian
    IEEE TRANSACTIONS ON CONTROL OF NETWORK SYSTEMS, 2014, 1 (04): : 360 - 369
  • [49] Approximately strongly regular graphs
    Ihringer, Ferdinand
    DISCRETE MATHEMATICS, 2023, 346 (03)
  • [50] On strongly regular signed graphs
    Stanic, Zoran
    DISCRETE APPLIED MATHEMATICS, 2019, 271 : 184 - 190