Anti complex fuzzy Lie subalgebras under S-norms
Publish Year: 1401
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:
JR_MACA-4-4_002
تاریخ نمایه سازی: 6 شهریور 1402
Abstract:
The objectives of this article are to present the notions of anti complex fuzzy subalgebras and anti complex fuzzy ideals of Lie algebras under S-norms and we prove that the level subset of them are also subalgebras and ideals of Lie algebras, respectively. Next, we introduce the union and summation of them and we prove that the union and summation of them are also anti complex fuzzy subalgebras and anti complex fuzzy ideals of Lie algebras under S-norms, respectively. Finally, we investigate the homomorphic image (pre-image) of them under Lie homomorphisms.
Keywords:
Lie algebras , ideals , Fuzzy Set Theory , S-norms , complex fuzzy sets , Unions , sums , homomorphisms
Authors
Rasul Rasuli
Department of Mathematics, Payame Noor University(PNU), P. O. Box ۱۹۳۹۵-۴۶۹۷, Tehran, Iran