Generalized Ideals of BCK/BCI-Algebras Based on Fuzzy Soft Set Theory

被引：6
|
作者：
Muhiuddin, G. [1 ]
Al-Kadi, D. [2 ]
Shum, K. P. [3 ]
Alanazi, A. M. [1 ]
机构：
[1] Univ Tabuk, Dept Math, Tabuk 71491, Saudi Arabia
[2] Taif Univ, Dept Math & Stat, At Taif 21974, Saudi Arabia
[3] Yunnan Univ, Inst Math, Kunming 650091, Yunnan, Peoples R China
来源：
ADVANCES IN FUZZY SYSTEMS | 2021年 / 2021卷
关键词：
D O I：
10.1155/2021/8869931
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
In the present paper, using Lukaswize triple-valued logic, we introduce the notion of (alpha, beta)-intuitionistic fuzzy soft ideal of BCK/BCI-algebras, where alpha and beta are the membership values between an intuitionistic fuzzy soft point and intuitionistic fuzzy set. Moreover, intuitionistic fuzzy soft ideals with thresholds are introduced, and their related properties are investigated.
引用
收藏
页数：10
相关论文
共 50 条
  • [31] Further results on fuzzy soft BCK/BCI-algebras
    Al-Kadi, Deena S.
    Muhiuddin, G.
    EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2020, 13 (04): : 939 - 947
  • [32] 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
  • [33] m-Polar fuzzy ideals of BCK/BCI-algebras
    Al-Masarwah, Anas
    Ahmad, Abd Ghafur
    JOURNAL OF KING SAUD UNIVERSITY SCIENCE, 2019, 31 (04) : 1220 - 1226
  • [34] On characterizations of generalized fuzzy ideals of BCI-algebras
    Zhan, Jianming
    Liu, Yong Lin
    Jun, Young Bae
    INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2009, 86 (12) : 1989 - 2007
  • [35] Intuitionistic Fuzzy Soft Set Theoretic Approaches to α-ideals in BCI-algebras
    Touqeer, Muhammad
    FUZZY INFORMATION AND ENGINEERING, 2020, 12 (02) : 150 - 180
  • [36] Bipolar Fuzzy Set Theory Applied to the Certain Ideals in BCI-Algebras
    Abughazalah, N.
    Muhiuddin, G.
    Elnair, Mohamed E. A.
    Mahboob, A.
    SYMMETRY-BASEL, 2022, 14 (04):
  • [37] 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
  • [38] 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
  • [39] UNI-SOFT COMMUTATIVE IDEALS WITH THRESHOLDS IN BCK/BCI-ALGEBRAS
    Jun, Young Bae
    Lee, Kyoung Ja
    Bordbar, Hashem
    Song, Seok-Zun
    HONAM MATHEMATICAL JOURNAL, 2018, 40 (03): : 377 - 389
  • [40] (ε, ε Vq)-Bipolar Fuzzy b-Ideals of BCK/BCI-Algebras
    Mursaleen, M.
    Balamurugan, M.
    Loganathan, K.
    Nisar, Kottakkaran Sooppy
    JOURNAL OF FUNCTION SPACES, 2021, 2021
12345