In this work, the neural performance and fuzzy logic data sheets of the transistor are used to determine the feasible design target space in the optimization of a microwave amplifier. The compatible (Noise F, Input VSWR Vi, Gain GT) triplets and their (ZS, ZL) terminations of a microwave transistor are exploited for an amplifier design with the minimum noise Fmin(f), required gain GTreq(f), and a low input VSWR Vi over the available bandwidth. The multi-objective design procedure is obtained from ZS(f), ZL(f) terminations with the unit-elements and short-circuited stubs in the L+L configurations and memetic optimization algorithm is successfully implemented as an optimization tool. A typical design example is given with its challenging performance in the simple L+L configurations realizable by the microstrip line technology. © 2010 Wiley Periodicals, Inc. Int J RF and Microwave CAE, 2010.