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Worldwide, several studies have investigated many proposals for the use of hybrid systems as alternative energy sources, operating together with energy storage technologies. Accordingly, there are large concerns about the use of appropriate methods to evaluate the application of renewable energy sources and storage energy systems. Thus, it is important to observe that the renewable hybrid systems are environmental friendly, having as consequence governmental incentives for their development in many countries, like Brazil. This paper presents a methodology taking as basis the theory developed by Saaty -- the Analytic Hierarchy Process (AHP method) - and multi-rulesbased decision and multi-sets considerations applied using fuzzy logic. By exploiting a multi-criteria decision making, this methodology evaluates the operation of storage energy systems such as: compressed air energy storage (CAES), pumped hydro storage (PHS), H2 storage, flywheel and super-capacitors. In addition, different scenarios are investigated concerning environment impacts and costs. For the purpose of the study, these five different energy storage technologies are evaluated objectifying to find the most appropriate storage energy system for different scenarios, always considering the desirable criteria, namely: efficiency, costs, technical maturity, environmental impacts, power application range and lifecycle.