Different types of cubic ideals in BCI-algebras based on fuzzy points

被引：10
|
作者：
Jana, Chiranjibe [1 ]
Senapati, Tapan [2 ]
Pal, Madhumangal [1 ]
Saeid, Arsham Borumand [3 ]
机构：
[1] Vidyasagar Univ, Dept Appl Math Oceanol & Comp Programming, Midnapore 721102, India
[2] Southwest Univ, Sch Math & Stat, Chongqing 400715, Peoples R China
[3] Shahid Bahonar Univ Kerman, Fac Math & Comp, Dept Pure Math, Kerman, Iran
来源：
AFRIKA MATEMATIKA | 2020年 / 31卷 / 02期
关键词：
BCI-algebra; Cubic subalgebra; Cubic ideal; (is an element of; is an element of boolean OR q)-cubic p-ideal; is an element of boolean OR q)-cubic q-ideal; is an element of boolean OR q)-cubic a-ideal; SUBALGEBRAS; ELEMENT; (IS-AN-ELEMENT-OF;
D O I：
10.1007/s13370-019-00728-6
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The notions of (is an element of , is an element of boolean OR q)-cubic p- (a- and q-) ideals of BCI-algebras are introduced and some related properties are investigated. Several characterization for these generalized (is an element of ,is an element of boolean OR q)-cubic ideals are defined and relationship between (is an element of ,is an element of boolean OR q)-cubic p-ideals, (is an element of ,is an element of boolean OR q)-cubic q-deals and (is an element of ,is an element of boolean OR q)-cubic a-ideals of BCI-algebras are discussed.
引用
收藏
页码：367 / 381
页数：15
相关论文
共 50 条
  • [21] New Kinds of Fuzzy Ideals in BCI-algebras*
    Zhang Guangji
    Zhang Cheng
    Liu Zixin
    Gang Jiatai
    Fuzzy Optimization and Decision Making, 2006, 5 (2) : 177 - 186
  • [22] Cubic Intuitionistic q-Ideals of BCI-Algebras
    Senapati, Tapan
    Jana, Chiranjibe
    Pal, Madhumangal
    Jun, Young Bae
    SYMMETRY-BASEL, 2018, 10 (12):
  • [23] Some kinds of (∈γ, ∈γ ∨qδ)-fuzzy ideals of BCI-algebras
    Ma, Xueling
    Zhan, Jianming
    Jun, Young Bae
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2011, 61 (04) : 1005 - 1015
  • [24] Characterizations of (∈, ∈ ∨qk)-fuzzy fantastic ideals in BCI-algebras
    Zulfiqar, Muhammad
    KUWAIT JOURNAL OF SCIENCE, 2014, 41 (01) : 35 - 64
  • [25] Soft ideals of BCK/BCI-algebras based on fuzzy set theory
    Jun, Young Bae
    Zhan, Jianming
    INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2011, 88 (12) : 2502 - 2515
  • [26] Intuitionistic Fuzzy Soft Ideals in BCK/BCI-algebras
    Balamurugan, M.
    Balasubramanian, G.
    Ragavan, C.
    MATERIALS TODAY-PROCEEDINGS, 2019, 16 : 496 - 503
  • [27] Multipolar Fuzzy p-Ideals of BCI-Algebras
    Takallo, Mohammad Mohseni
    Ahn, Sun Shin
    Borzooei, Rajab Ali
    Jun, Young Bae
    MATHEMATICS, 2019, 7 (11)
  • [28] A Novel Study Based on Fuzzy p-Ideals of BCI-Algebras
    Muhiuddin, G.
    Abughazalah, Nabilah
    Mahboob, A.
    Elnair, M. E.
    Alotaibi, Abdullah G.
    JOURNAL OF FUNCTION SPACES, 2023, 2023
  • [29] A CHARACTERIZATION OF CLOSED FUZZY IDEALS IN FINITE BCI-ALGEBRAS
    YOUNG BAE JUN
    JIE MENG Department of Mathcmatics Gyecongsang National UnivcrsityChinjuKorea Department of MathematicsNorthwest UniversityXianShaanxiPRChina
    纯粹数学与应用数学, 1993, (01) : 43 - 46
  • [30] Generalizations of Fuzzy q-Ideals of BCI-Algebras
    Muhiuddin, G.
    Al-Kadi, D.
    Mahboob, A.
    Assiry, A.
    Alsubhi, Abdullah
    JOURNAL OF MATHEMATICS, 2022, 2022
12345