Fuzzy Leibniz Ideals and Fuzzy Leibniz Subalgebras

被引:0
|
作者
Mansuroglu, Nil [1 ]
机构
[1] Kirsehir Ahi Evran Univ, Dept Math, TR-40100 Kirsehir, Turkiye
关键词
Fuzzy Leibniz subalgebra; Fuzzy Leibniz ideal; Interval-valued fuzzy Leibniz ideal; LIE IDEALS;
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
This paper deals with applying the concept of fuzzy sets to Leibniz algebras in order to introduce and to study the descriptions of fuzzy Leibniz subalgebras and fuzzy Leibniz ideals. More concretely, our main goal is to introduce the notion of interval-valued fuzzy Leibniz ideals in Leibniz algebras. Additionally, we present some of their properties.
引用
收藏
页码:387 / 400
页数:14
相关论文
共 50 条
  • [41] On fuzzy subalgebras
    Abdukhalikov, KS
    Tulenbaev, MS
    Umirbaev, UU
    FUZZY SETS AND SYSTEMS, 1998, 93 (02) : 257 - 262
  • [42] LEIBNIZ AND LEIBNIZ LAW
    FELDMAN, F
    PHILOSOPHICAL REVIEW, 1970, 79 (04): : 510 - 522
  • [43] ATANASSOV'S INTUITIONISTIC FUZZY TRANSLATIONS OF INTUITIONISTIC FUZZY SUBALGEBRAS AND IDEALS IN BCK/BCI-ALGEBRAS
    Senapati, T.
    Bhowmik, M.
    Pal, M.
    Davvaz, B.
    EURASIAN MATHEMATICAL JOURNAL, 2015, 6 (01): : 96 - 114
  • [44] On Theta Pairs and Theta Completions for Proper Subalgebras in Leibniz Algebras
    Leila Goudarzi
    Zahra Riyahi
    Bulletin of the Iranian Mathematical Society, 2021, 47 : 1505 - 1512
  • [45] Interval-Valued Intuitionistic Fuzzy Subalgebras/Ideals of Hilbert Algebras
    Iampan, Aiyared
    Bharathi, V. Vijaya
    Vanishree, M.
    Rajesh, N.
    INTERNATIONAL JOURNAL OF ANALYSIS AND APPLICATIONS, 2022, 20
  • [46] Bipolar fuzzy soft subalgebras and ideals of BCK/BCI-algebras based on bipolar fuzzy points
    Jana, Chiranjibe
    Senapati, Tapan
    Shum, K. P.
    Pal, Madhumangal
    JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2019, 37 (02) : 2785 - 2795
  • [47] DOUBT BIPOLAR FUZZY SUBALGEBRAS AND IDEALS IN BCK/BCI-ALGEBRAS
    Al-Masarwah, Anas
    Ahmad, Abd Ghafur
    JOURNAL OF MATHEMATICAL ANALYSIS, 2018, 9 (03): : 9 - 27
  • [48] On Theta Pairs and Theta Completions for Proper Subalgebras in Leibniz Algebras
    Goudarzi, Leila
    Riyahi, Zahra
    BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 2021, 47 (05) : 1505 - 1512
  • [49] Fuzzy ideals and fuzzy bi-ideals in fuzzy semigroups
    Dib, KA
    Galhum, N
    FUZZY SETS AND SYSTEMS, 1997, 92 (01) : 103 - 111
  • [50] FUZZY PRIME IDEALS AND FUZZY RADICAL IDEALS
    LIU, WJ
    INFORMATION SCIENCES, 1990, 50 (02) : 111 - 122