COMPLEX INTUITIONISTIC FUZZY BRACKET PRODUCT

被引:0
作者
Jaber, Ameer [1 ]
Shaqbou'a, Rania [1 ]
机构
[1] Hashemite Univ, Fac Sci, Dept Math, Zarqa, Jordan
来源
JOURNAL OF APPLIED MATHEMATICS & INFORMATICS | 2025年 / 43卷 / 01期
关键词
Complex intuitionistic fuzzy set; complex intu- itionistic fuzzy Lie sub-superalgebra; complex intuitionistic fuzzy ideal; Lie superalgebras; OPERATIONS;
D O I
10.14317/jami.2025.001
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
A complex intuitionistic fuzzy Lie superalgebra is a generalization of intuitionistic fuzzy Lie superalgebra whose membership function takes values in the unit disk in the complex plane. In [13], we introduced and studied the concepts of complex intuitionistic fuzzy Lie subsuperalgebras and complex intuitionistic fuzzy ideals of Lie superalgebras. Moreover, under Lie superalgebra anti-homomorphism we also defined, in [13], the image and preimage of complex intuitionistic fuzzy Lie subsuperalgebra and we investigated the properties of anti-complex intuitionistic fuzzy Lie sub-superalgebras and anti-complex intuitionistic fuzzy ideals under anti-homomorphisms of Lie superalgebras. In this research, we use the concepts of complex intuitionistic fuzzy Lie superalgebras to introduce the complex intuitionistic fuzzy bracket products. Finally, we use the definitions of the image and preimage of complex intuitionistic fuzzy ideals under Lie superalgebra anti-homomorphisms, to study the characterizations of the image and preimage of the complex intuitionistic fuzzy bracket products under Lie superalgebra anti-homomorphisms.
引用
收藏
页码:1 / 21
页数:21
相关论文
共 16 条
[1]  
Al-Deiakeh M., 2019, On Intuitionistic Fuzzy Lie Algebras
[2]   Some Operations on Complex Atanassov's Intuitionistic Fuzzy Sets [J].
Alkouri, Abd Ulazeez M. ;
Salleh, Abdul Razak .
2013 UKM FST POSTGRADUATE COLLOQUIUM, 2013, 1571 :987-993
[3]   Complex Atanassov's Intuitionistic Fuzzy Relation [J].
Alkouri, Abd Ulazeez M. ;
Salleh, Abdul Razak .
ABSTRACT AND APPLIED ANALYSIS, 2013,
[4]   Complex Intuitionistic Fuzzy Sets [J].
Alkouri, Abdulazeez S. ;
Salleh, Abdul Razak .
INTERNATIONAL CONFERENCE ON FUNDAMENTAL AND APPLIED SCIENCES 2012 (ICFAS2012), 2012, 1482 :464-470
[5]   NEW OPERATIONS DEFINED OVER THE INTUITIONISTIC FUZZY-SETS [J].
ATANASSOV, KT .
FUZZY SETS AND SYSTEMS, 1994, 61 (02) :137-142
[6]  
Atanassov T., 1983, 7 ITKR SESS SOF
[7]  
Banerjee B., 2003, J FUZZY MATH, V11, P139
[8]  
Biswas R, 1989, Mathematical Forum, V10, P37
[9]   Intuitionistic fuzzy Lie sub-superalgebras and intuitionistic fuzzy ideals [J].
Chen, Wenjuan ;
Zhang, Shunhua .
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2009, 58 (08) :1645-1661
[10]   Intuitionistic fuzzy Hv-submodules [J].
Davvaz, B ;
Dudek, WA ;
Jun, YB .
INFORMATION SCIENCES, 2006, 176 (03) :285-300