Intuitionistic fuzzy quotient Lie superalgebras

被引:0
作者
Chen, Wenjuan [1 ]
机构
[1] Univ Jinan, Sch Sci, Jinan 250022, Shandong, Peoples R China
关键词
Intuitionistic fuzzy sets; Intuitionistic fuzzy Lie ideals; Nilpotent intuitionistic fuzzy Lie ideals; Solvable intuitionistic fuzzy Lie ideals; IDEALS; ALGEBRAS;
D O I
暂无
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
In this paper, the intuitionistic fuzzy Lie sub-superalgebras and ideals of Lie superalgebras are studied further. We define the intuitionistic fuzzy quotient Lie superalgebra by an intuitionistic fuzzy Lie ideal and prove that it is a Lie superalgebra. The intuitionistic fuzzy set of quotient Lie superalgebra is also considered. Finally, solvable intuitionistic fuzzy Lie ideals and nilpotent intuitionistic fuzzy Lie ideals are defined and the related properties are discussed.
引用
收藏
页码:330 / 339
页数:10
相关论文
共 26 条
[1]  
AKRAM M, 2008, INT J FUZZY MATH, V16, P991
[2]  
Akram M., 2007, QUASIGROUPS RELAT SY, V15, P201
[3]  
Akram M., 2007, SE ASIAN B MATH, V31, P843
[4]  
Akram M., 2009, WORLD APPL SCI J, V7, P25
[5]   Intuitionistic fuzzy left k-ideals of semirings [J].
Akram, Muhammad ;
Dudek, Wieslaw A. .
SOFT COMPUTING, 2008, 12 (09) :881-890
[6]   NEW OPERATIONS DEFINED OVER THE INTUITIONISTIC FUZZY-SETS [J].
ATANASSOV, KT .
FUZZY SETS AND SYSTEMS, 1994, 61 (02) :137-142
[7]   INTUITIONISTIC FUZZY-SETS [J].
ATANASSOV, KT .
FUZZY SETS AND SYSTEMS, 1986, 20 (01) :87-96
[8]  
BANERJEE B, 2003, J FUZZY MATH, V11, P139
[9]  
Biswas R., 1989, Math. Forum, V10, P37
[10]   Intuitionistic fuzzy Lie sub-superalgebras and intuitionistic fuzzy ideals [J].
Chen, Wenjuan ;
Zhang, Shunhua .
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2009, 58 (08) :1645-1661