Discrete and continuous mode algebraic type fuzzy flip flop circuits

Algebraic fuzzy flip-flop circuits, in discrete mode and continuous mode are presented. Algebraic fuzzy flip-flop is one example of general fuzzy flip-flop concept which has been defined as the extension form of the binary J-K flip-flop. Two types of the algebraic fuzzy flip-flop, which are reset type and set type, are defined using complementation, algebraic product, and algebraic sum operations for fuzzy negation, t-norm, and s-norm, respectively. An unified equation of the reset type and set type of algebraic fuzzy flip-flop is derived for the purpose of realization of hardware circuit. The performances (i. e. propagation delay, power dissipation, possibility of VLSI implementation, and noise immunity) are discussed.