Anti complex fuzzy Lie subalgebras under S-norms
عنوان مقاله: Anti complex fuzzy Lie subalgebras under S-norms
شناسه ملی مقاله: JR_MACA-4-4_002
منتشر شده در در سال 1401
شناسه ملی مقاله: JR_MACA-4-4_002
منتشر شده در در سال 1401
مشخصات نویسندگان مقاله:
Rasul Rasuli - Department of Mathematics, Payame Noor University(PNU), P. O. Box ۱۹۳۹۵-۴۶۹۷, Tehran, Iran
خلاصه مقاله:
Rasul Rasuli - Department of Mathematics, Payame Noor University(PNU), P. O. Box ۱۹۳۹۵-۴۶۹۷, Tehran, Iran
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.
کلمات کلیدی: Lie algebras, ideals, Fuzzy Set Theory, S-norms, complex fuzzy sets, Unions, sums, homomorphisms
صفحه اختصاصی مقاله و دریافت فایل کامل: https://civilica.com/doc/1742924/