Microgrids not only increase the share of the renewable resources, but also contribute to the realization of sustainable energy development objectives. In the present study, the microgrid is composed of various kinds of power sources, including renewable and nonrenewable resources, along with energy storage system. We modeled a multi-objective mathematical problem to maximize the microgrid’s revenue and at the same time minimize the emission and totat costs while providing a sustainable load. A combination of lexicographic optimization and augmented ε-constraint methods was used to find efficient solutions and to form the Pareto fronties. The best solution among the Pareto optimal solutions was identified using fuzzy decision-making method.  The model was implemented at four different days (with different conditions of accessibility to the renewable resources) in Bafrajerd region of Ardebil Province. Finally, the indicate that the proposed model with a comprehensive view on various economic-environmental dimensions of exploiting different production units of the microgrid in a 24-hour time perspective, is an effective and efficient approach for developing, improving, and operation scheduling of the microgrids.