Neutrosophic and Information Fusion NIF 2836-7863 10.54216/NIF https://www.americaspg.com/journals/show/1669 2023 2023 Higher Technological Institute, 10th of Ramadan City 44629, Egypt Mona Mohamed Faculty of Computers and Informatics, Zagazig University, Zagazig 44519, Egypt Nissreen El Saber Present era, several technologies are combining in various industries to strengthen sustainable ecological, economic, and societal. For example, in storage energy industrial where a sophisticated technique for storing thermal energy called thermal energy storage (TES) can lessen the effects on the environment and enable cleaner and more effective energy systems. Particularly, thermochemical energy storage (TES) which is characterized by substantial density of energy. So, selecting suitable material among the set of materials is crucial process. This study emphasized employing durable techniques to elucidate complex interrelationships between criteria and several materials. Thus, this study employs Multi-criteria Decision Making (MCDM) methods. Also, we are supporting these methods with robust theory represents in neutrosohic theory to fortify MCDM methods in uncertainty and non-aligned situations.  Moreover, we are utilizing Multi-objective Optimization by Ratio Analysis plus Full Multiplicative Form (MULTIMOORA) assists with Single Value Neutrosophic sets (SVNs). Finally, we applied our constructed framework to a real case study to guarantee that our framework is accurate and valid.  2023 2023 08 22 10.54216/NIF.020101 https://www.americaspg.com/articleinfo/39/show/1669