aspg-21-2386-1791475941 20261008161221 American Scientific Publishing Group admin@americaspg.com American Scientific Publishing Group International Journal of Neutrosophic Science IJNS 2692-6148 2690-6805 2024 23 2 Zainab A. Khudhair Department of Mathematics, College of Basic Education, Al-mustansiriyah University, Baghdad, lraq The objective of this paper is to present a novel approach for the a-fuzzy standardized area and its fundamental characteristics with basic attributes of fuzzy compact and fuzzy bounded linear functions. Also, it presents some of the basic attributes of the spectral of fuzzy compact linear functions in terms of theorems that clearly draw the elementary properties of these functions and the mathematical relationships between them. 2024 238 243 2386 https://creativecommons.org/licenses/by/4.0/ 10.54216/IJNS.230219 https://www.americaspg.com/journal/21/article/2386 https://www.americaspg.com/storage/21710348680.pdf