•Thermodynamic and thermo-economic modeling of irreversible regenerative closed Brayton cycle is performed.•The latter is achieved using NSGA algorithm and thermodynamic and thermo-economic analysis.•Well known decision makers are carried out to specify optimum values of outputs. This paper goes through a sophisticated ecological function for irreversible regenerative closed Brayton cycle. Moreover, aforementioned irreversible regenerative closed Brayton cycle is optimized by implementing ecological function. With the aim of the first and second laws of thermodynamics, an equivalent system is initially specified. Developed multi objective evolutionary approaches (MOEAs) on the basis of NSGA-II method is implemented throughout this work. To accomplish the above mentioned target of this paper, three objective functions which includes the power output (P), the ecological function (E) and thermoeconomic criterion (F) are perceived in optimization process simultaneously. Three aforementioned objective functions are maximized at the same time.