A new generalization of fuzzy ideals in ordered semigroups

被引：0
|
作者：
Tang, Jian [1 ]
Xie, Xiangyun [2 ]
机构：
[1] Fuyang Normal Coll, Sch Math & Finance, Fuyang 236037, Anhui, Peoples R China
[2] Wuyi Univ, Sch Math & Computat Sci, Jiangmen 529020, Guangdong, Peoples R China
来源：
INTERNATIONAL JOURNAL OF APPLIED MATHEMATICS & STATISTICS | 2014年 / 52卷 / 02期
关键词：
ordered semigroup; strongly convex fuzzy subset; (epsilon; epsilon boolean OR q(k))-fuzzy ideal; prime;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, the concept of (epsilon, epsilon boolean OR q(k))-fuzzy ideals of an ordered semigroup S is introduced by the ordered fuzzy points of S, and related properties are investigated. In particular, we discuss the relationships fuzzy ideals and (epsilon, epsilon boolean OR q(k))-fuzzy ideals of an ordered semigroup. Furthermore, we introduce the concept of prime (epsilon, epsilon boolean OR q(k))-fuzzy ideals of ordered semi-groups, and give some characterizations of this notion.
引用
收藏
页码：178 / 187
页数：10
相关论文
共 50 条
  • [1] A New Generalization of Fuzzy Soft Bi-ideals in Ordered Semigroups
    Khan, Faiz Muhammad
    Leoreanu-Fotea, Violeta
    Ibrahim
    Amanullah
    JOURNAL OF MULTIPLE-VALUED LOGIC AND SOFT COMPUTING, 2021, 36 (06) : 505 - 525
  • [2] A Benchmark Generalization of Fuzzy Soft Ideals in Ordered Semigroups
    Khan, Faiz Muhammad
    Leoreanu-Fotea, Violeta
    Saifullah
    Amanullah
    ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA, 2021, 29 (02): : 155 - 171
  • [3] A new generalization of fuzzy filters in ordered semigroups
    Tang, Jian
    Xie, Xiangyun
    ICIC Express Letters, Part B: Applications, 2014, 5 (06): : 1633 - 1638
  • [4] 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
  • [5] 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
  • [6] 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
  • [7] Fuzzy ideals of ordered semigroups with fuzzy orderings
    Huang, Xiaokun
    Li, Qingguo
    OPEN MATHEMATICS, 2016, 14 : 841 - 856
  • [8] (α, β)-fuzzy interior ideals in ordered semigroups
    Khan A.
    Shabir M.
    Lobachevskii Journal of Mathematics, 2009, 30 (1) : 30 - 39
  • [9] ON TRIPOLAR FUZZY IDEALS IN ORDERED SEMIGROUPS
    Wattanasiripong, Nuttapong
    Lekkoksung, Nareupanat
    Lekkoksung, Somsak
    JOURNAL OF APPLIED MATHEMATICS & INFORMATICS, 2023, 41 (01): : 133 - 154
  • [10] On Pure Fuzzy Ideals in Ordered Semigroups
    Siribute, Kongpop
    Sanborisoot, Jatuporn
    INTERNATIONAL JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE, 2019, 14 (04): : 867 - 877
12345