TY - JOUR ID - 693796 TI - Anti complex fuzzy Lie subalgebras under $S$-norms JO - Mathematical Analysis and its Contemporary Applications JA - MACA LA - en SN - AU - Rasuli, Rasul AD - Department of Mathematics, Payame Noor University(PNU), P. O. Box 19395-4697, Tehran, Iran Y1 - 2022 PY - 2022 VL - 4 IS - 4 SP - 13 EP - 26 KW - Lie algebras KW - ideals KW - Fuzzy Set Theory KW - S-norms KW - complex fuzzy sets KW - Unions KW - sums KW - homomorphisms DO - 10.30495/maca.2022.1952804.1049 N2 - 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. UR - https://www.macajournal.com/article_693796.html L1 - https://www.macajournal.com/article_693796_ecce788d47ee8c528b5e761d640f750f.pdf ER -