In the Latin American region, public management systems are driven almost exclusively by a formal mechanism. This is a difficulty when implementing study methodologies that provide objective data for the analysis and evaluation of the effectiveness, relevance and sustainability of the policies established by the states governments. Given that the political-social contexts of each nation determine a series of subjective and imprecise factors, and that the main officials and social actors that rule the development of strategic plans regarding public services are inscribed within a certain reality for internal and external incidents; a neutrosophic analysis of the fuzzy, gray and / or undefined zones of the relations between the political system and the administrative system becomes evident. Neutrosophy, as a discipline that studies undefined areas between opposing ideas or sentences, offers a theoretical framework suitable for the analysis of the previously described problematic. This article summarizes a prospective analysis of public management scenarios, developed through the Fuzzy Delphi method, in order to detect the main difficulties faced by current public management mechanisms and propose solutions accordingly. For this, it relies on a survey conducted in Argentina to officials of the Administration sector. A fuzzy approach to improve public management, methodological applications even case. Buenos Aires: University of Buenos Aires. School of Economics.