FUZZY NEUTROSOPHIC PRIME IDEALS OF BCK-ALGEBRAS

被引：0
|
作者：
Satyanarayana, B. [1 ]
Baji, Sh. [2 ]
Devanandam, D. [3 ]
机构：
[1] Acharya Nagarjuna Univ, Dept Math, Guntur 522510, Andhra Pradesh, India
[2] Sir CR Reddy Coll Engn, Dept Math, Eluru 534007, Andhra Pradesh, India
[3] Govt Degree Coll, Dept Math, Eluru 534460, Andhra Pradesh, India
来源：
JOURNAL OF ALGEBRAIC SYSTEMS | 2025年 / 13卷 / 02期
关键词：
Intuitionistic fuzzy prime ideal (IFPI); Fuzzy neutrosophic set (FNS); Fuzzy neutrosophic ideal (FNI); Fuzzy neutrosophic prime ideal (FNPI);
D O I：
10.22044/JAS.2023.12903.1701
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this research paper, we introduce and analyse the notion of fuzzy neutrosophic prime ideals (FNPIs) in a commutative BCK-algebra K. It represents a further extension of prime ideals in the context of fuzzy neutrosophic sets. We provide an example that shows that not every fuzzy neutrosophic ideal of a commutative BCK-algebra K is a FNPI of K. We also prove that a fuzzy neutrosophic set of K is a FNPI of K if, for all a, b, c is an element of [0, 1], the upper (a,b)-level cut and lower c-level cut are prime ideals of K.
引用
收藏
页数：10
相关论文
共 50 条
  • [41] Fuzzy soft set theory applied to commutative ideals of BCK-algebras
    Muhiuddin, G.
    Al-Kadi, D.
    Harizavi, Habib
    Albjedi, Amjad S.
    INTERNATIONAL JOURNAL OF ADVANCED AND APPLIED SCIENCES, 2021, 8 (06): : 48 - 56
  • [42] Implicative N-ideals of BCK-algebras based on neutrosophic N-structures
    Muhiuddin, G.
    Kim, Seon Jeong
    Jun, Young Bae
    DISCRETE MATHEMATICS ALGORITHMS AND APPLICATIONS, 2019, 11 (01)
  • [43] RETRACTED: Bipolar Fuzzy Implicative Ideals of BCK-Algebras (Retracted Article)
    Muhiuddin, G.
    Al-Kadi, D.
    JOURNAL OF MATHEMATICS, 2021, 2021
  • [44] Cubic Intuitionistic Implicative Ideals of BCK-Algebras
    Tapan Senapati
    Young Bae Jun
    K. P. Shum
    Proceedings of the National Academy of Sciences, India Section A: Physical Sciences, 2021, 91 : 273 - 282
  • [45] Ideals of BCK-algebras and BCI-algebras based on a new form of fuzzy set
    Roh, Eun Hwan
    Yang, Eunsuk
    Jun, Young Bae
    EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2023, 16 (04): : 2009 - 2024
  • [46] Positive implicative makgeolli ideals of BCK-algebras
    Song, Seok-Zun
    Ozturk, Mehmet Ali
    Jun, Young Bae
    EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2022, 15 (04): : 1498 - 1511
  • [47] Weak closure operations on ideals of BCK-algebras
    Bordbar, Hashem
    Zahedi, Mohammad Mehdi
    Ahn, Sun Shin
    Jun, Young Bae
    JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2017, 23 (02) : 249 - 262
  • [48] Fuzzy Ideal of Hilbert Algebras in BCK-algebras
    Zhang, Qiuna
    Jin, Dianchuan
    Jiang, Junna
    INTELLIGENT STRUCTURE AND VIBRATION CONTROL, PTS 1 AND 2, 2011, 50-51 : 498 - +
  • [49] Fuzzy algebraic set in BCK-algebras
    Hu, BQ
    Luo, B
    He, JJ
    PROCEEDINGS OF THE 7TH JOINT CONFERENCE ON INFORMATION SCIENCES, 2003, : 238 - 240
  • [50] Fuzzy positive implicative ideals of BCK-algebras based on the theory of falling shadows
    Jun, Young Bae
    Kang, Min Su
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2011, 61 (01) : 62 - 67
12345