Complex fuzzy lie subalgebras and complex fuzzy ideals under t-norms

Author(s):

Rasul Rasuli *

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
Abstract:
In this paper, we define the conceps of complex fuzzy Lie subalgebras and complex fuzzy ideals of Lie algebras with respect to t-norms and investigate some of characteristics and relationship between them. Next, we introduce the concepos of quotient subalgebras, intersection, sum and direct product of them and prove some results about them. Finally, we introduce and study the image and the inverse image of them under Lie algebra homomorphisms.
Keywords:

Lie algebras , Ideals , Fuzzy Set Theory , t-norms , Complex fuzzy sets , Intersections , homomorphisms

Language:
English
Published:
Journal of Fuzzy Extension and Applications, Volume:4 Issue: 3, Summer 2023
Pages:
173 to 187
https://www.magiran.com/p2660951  
سامانه نویسندگان
  • Author
    Rasul Rasuli
    Assistant Professor fuzzy mathematics, Payame Noor University, Tehran, Iran
    Rasuli، Rasul
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