A maximum and a minimum circuits with multiple inputs are proposed. The operating speeds of these circuits are independent of the number of the inputs. Since the proposed circuits consist of only NMOS transistors, they can be implemented in semi-custom IC forms. A potential application of these circuits is a real-time fuzzy controller.

In this paper, two synthesis methods of fuzzy membership function circuits with multiple inputs are proposed. By using bounded-differences expressions, membership function representations suitable for logic circuits in current mode is obtained. In bounded-difference expressions, bounded-difference, switch function and algebraic sum are used. Since these operations can be realized by MOS current-mirrors, MOS pass-transistors and wired-sum connections, the membership function circuits with multiple inputs can be built with these circuit elements. Therefore the synthesized circuits can be implemented in MOS IC forms. The potential applications of the membership function circuits with multiple inputs are real-time inference engine and fuzzy ROM.