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
  • [41] Hesitant fuzzy translations and extensions of subalgebras and ideals in BCK/BCI-algebras
    Muhiuddin, G.
    Kim, Hee Sik
    Song, Seok Zun
    Jun, Young Bae
    JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2017, 32 (01) : 43 - 48
  • [42] Inf-hesitant fuzzy subalgebras and ideals in BCK/BCI-algebras
    Muhiuddin, G.
    Alanazi, Abdulaziz M.
    Elnair, Mohamed E. A.
    Shum, K. P.
    EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2020, 13 (01): : 9 - 18
  • [43] A new type of hesitant fuzzy subalgebras and ideals in BCK/BCI-algebras
    Song, Seok-Zun
    Bordbar, Hashem
    Jun, Young Bae
    JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2017, 32 (03) : 2009 - 2016
  • [44] Fuzzy ideals in BCI-algebras
    Liu, YL
    Meng, J
    FUZZY SETS AND SYSTEMS, 2001, 123 (02) : 227 - 237
  • [45] An Innovative Perspective on Bipolar Fuzzy Fantastic Ideals in BCK/BCI-Algebras
    Balamurugan, M.
    Hakami, Khalil H.
    Ansari, Moin A.
    Loganathan, K.
    EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2024, 17 (04): : 3973 - 3993
  • [46] Applications of soft sets in ideal theory of BCK/BCI-algebras
    Jun, Young Bae
    Park, Chul Hwan
    INFORMATION SCIENCES, 2008, 178 (11) : 2466 - 2475
  • [47] Commutative ideals of BCK-algebras and BCI-algebras based on soju structures
    Song, Seok-Zun
    Kim, Hee Sik
    Jun, Young Bae
    AIMS MATHEMATICS, 2021, 6 (08): : 8567 - 8584
  • [48] Bipolar Intuitionistic Fuzzy Soft Ideals of BCK/BCI-Algebras and Its Applications in Decision-Making
    Balamurugan, Manivannan
    Alessa, Nazek
    Loganathan, Karuppusamy
    Kumar, M. Sudheer
    MATHEMATICS, 2023, 11 (21)
  • [49] RETRACTED: Generalization of Fuzzy Soft BCK/BCI-Algebras (Retracted Article)
    Alam, N.
    Muhiuddin, G.
    Obeidat, S.
    Zaidi, H. N.
    Altaleb, A.
    Aqib, J. M.
    JOURNAL OF MATHEMATICS, 2021, 2021
  • [50] Another Generalization of Fuzzy BCK/BCI-Algebras
    Saeid, A. Borumand
    Rafsanjani, M. Kuchaki
    Williams, D. R. Prince
    INTERNATIONAL JOURNAL OF FUZZY SYSTEMS, 2012, 14 (01) : 175 - 184
12345