THE EMBEDDING OF AN ORDERED SEMIHYPERGROUP IN TERMS OF FUZZY SETS

被引:0
|
作者
Naka, Krisanthi [1 ]
Hila, Kostaq [1 ]
Onar, Serkan [2 ]
Ersoy, Bayram Ali [2 ]
机构
[1] Univ Gjirokastra, Dept Math & Comp Sci, Gjirokaster, Albania
[2] Yildiz Tech Univ, Dept Math, Esenler, Turkey
来源
SIGMA JOURNAL OF ENGINEERING AND NATURAL SCIENCES-SIGMA MUHENDISLIK VE FEN BILIMLERI DERGISI | 2018年 / 9卷 / 01期
关键词
Semihypergroup; ordered semihypergroup; fuzzy sets;
D O I
暂无
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
In this paper we have investigated an embedding theorem of ordered semihypergroups in terms of fuzzy sets. We prove that an ordered semihypergroup R is embedded in the set F (R) of all fuzzy subsets of R, which is an poe- semigroup with the ordered relation and the multiplication and addition defined in this paper.
引用
收藏
页码:17 / 22
页数:6
相关论文
共 50 条
  • [1] The embedding of an ordered groupoid into a poe-groupoid in terms of fuzzy sets
    Kehayopulu, N
    Tsingelis, M
    INFORMATION SCIENCES, 2003, 152 : 231 - 236
  • [2] Ordered Semihypergroup Constructions
    Ardekani, L. Kamali
    Davvaz, B.
    BOLETIN DE MATEMATICAS, 2018, 25 (02): : 77 - 99
  • [3] Intra-regular ordered semigroups in terms of fuzzy sets
    Kehayopulu N.
    Tsingelis M.
    Lobachevskii Journal of Mathematics, 2009, 30 (1) : 23 - 29
  • [4] Characterization of some types of ordered semigroups in terms of fuzzy sets
    N. Kehayopulu
    M. Tsingelis
    Lobachevskii Journal of Mathematics, 2008, 29 (1) : 14 - 20
  • [5] ON THE BOOK EMBEDDING OF ORDERED SETS
    Alhashem, Mustafa
    Jourdan, Guy-Vincent
    Zaguia, Nejib
    ARS COMBINATORIA, 2015, 119 : 47 - 64
  • [6] FUZZY ORDERED SETS
    VENUGOPALAN, P
    FUZZY SETS AND SYSTEMS, 1992, 46 (02) : 221 - 226
  • [7] Green's relations on ordered groupoids in terms of fuzzy semibipolar soft sets
    Prasertpong, Rukchart
    INTERNATIONAL JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE, 2022, 17 (03): : 1113 - 1132
  • [8] Embedding Ordered Sets into Distributive Lattices
    Van Alten, C. J.
    ORDER-A JOURNAL ON THE THEORY OF ORDERED SETS AND ITS APPLICATIONS, 2016, 33 (03): : 419 - 427
  • [9] Embedding Ordered Sets into Distributive Lattices
    C. J. Van Alten
    Order, 2016, 33 : 419 - 427
  • [10] Fuzzy sets in ordered groupoids
    Niovi Kehayopulu
    Michael Tsingelis
    Semigroup Forum, 2002, 65 : 128 - 132