This paper proposes a new collision avoidance control law for aircraft. RCPA (Range of Closest Point of Approach), representing risk in the future, and TCPA (Time to CPA), representing current risk, are used as risk functions. Furthermore, fuzzy logic is introduced in order to achieve human maneuvering and to settle singular point and chattering problems that are discussed in previous studies. Avoidance strategy consists of four main phases, maintaining course, avoidance, parallel flight and recovery phase, and three transition phases. The parallel flight phase and three transition phases are introduced to achieve moderate avoidance and smooth phase transition, respectively. Simulation results show that the proposed control law settles the past problems and achieves smooth and adequate avoidance. This paper also discusses the fuzzy evaluation method.Key Words: Guidance and Control, Collision Avoidance, Fuzzy Logic Nomenclature x, y, z: inertial coordinate system $, , : relative coordinate system v: aircraft velocity, m/s : direction angle, rad : flight path angle, rad : angle between line of sight and relative velocity, rad !: angular velocity, rad/s R r : relative range between evader and intruder, m R os : offset range from original course, m