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
  • [31] Ideals of BCI-algebras and their Properties
    Wu, Chenglong
    Ding, Yuzhong
    FORMALIZED MATHEMATICS, 2008, 16 (02): : 109 - 114
  • [32] BCI-implicative ideals of BCI-algebras
    Liu, Yong Lin
    Xu, Yang
    Meng, Jie
    INFORMATION SCIENCES, 2007, 177 (22) : 4987 - 4996
  • [33] 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
  • [34] Bipolar Fuzzy Subalgebras and Bipolar Fuzzy Ideals of BCK/BCI-Algebras
    Lee, Kyoung Ja
    BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2009, 32 (03) : 361 - 373
  • [35] FUZZY TRANSLATIONS OF FUZZY H-IDEALS IN BCK/BCI-ALGEBRAS
    Senapati, Tapan
    Bhowmik, Monoranjan
    Pal, Madhumangal
    Davvaz, Bijan
    JOURNAL OF THE INDONESIAN MATHEMATICAL SOCIETY, 2015, 21 (01) : 45 - 58
  • [36] m-Polar (α, β)-Fuzzy Ideals in BCK/BCI-Algebras
    Al-Masarwah, Anas
    Ahmad, Abd Ghafur
    SYMMETRY-BASEL, 2019, 11 (01):
  • [37] Falling fuzzy quasi-associative ideals of BCI-algebras
    Jun, Young Bae
    Song, Seok Zun
    FILOMAT, 2012, 26 (04) : 649 - 656
  • [38] EXISTENCE OF FUZZY IDEALS WITH ADDITIONAL CONDITIONS IN BCK/BCI-ALGEBRAS
    Jun, Young Bae
    Park, Chul Hwan
    JOURNAL OF THE KOREAN SOCIETY OF MATHEMATICAL EDUCATION SERIES B-PURE AND APPLIED MATHEMATICS, 2007, 14 (03): : 223 - 230
  • [39] Soft set theory applied to p-ideals of BCI-algebras related to fuzzy points
    Young Bae Jun
    Seok Zun Song
    Keum Sook So
    Neural Computing and Applications, 2011, 20 : 1313 - 1320
  • [40] Soft set theory applied to p-ideals of BCI-algebras related to fuzzy points
    Jun, Young Bae
    Song, Seok Zun
    So, Keum Sook
    NEURAL COMPUTING & APPLICATIONS, 2011, 20 (08): : 1313 - 1320
12345