Open AccessFuzzy Ideals of Pre A * -Algebras: المثاليات الضبابية في جبور * Pre A
Author(s) -
Haytham Arabi Sahar Faisal Al-haj Rabye Sahar Faisal Al-haj Rabye
Publication year - 2022
Publication title -
al-mağallaẗ al-ʿarabiyyaẗ li-l-ʿulūm wa-našr abḥāṯ
Language(s) - English
Resource type - Journals
ISSN - 2518-5780
DOI - 10.26389/ajsrp.b140921
Subject(s) - mathematics , fuzzy logic , homomorphism , cartesian product , pure mathematics , algebra over a field , fuzzy set , characterization (materials science) , fuzzy subalgebra , discrete mathematics , fuzzy number , fuzzy classification , fuzzy mathematics , computer science , artificial intelligence , materials science , nanotechnology
We’ve introduced in this paper the notion of fuzzy ideals of Pre A * –algebras and investigated of some of their properties. We’ve proved characterization of fuzzy ideals by their level of fuzzy sets. Also, we’ve proved some characterizations of fuzzy ideals generated by a fuzzy set in terms of their level fuzzy sets too. Furthermore, we’ve introduced some theorems related to homomorphism of Pre A * –algebras and images of fuzzy ideals according to them, also some theorems of Cartesian product of fuzzy ideals, and marginal fuzzy set from the Cartesian product of Pre A * –algebras.