Fuzzy flip-flop and fuzzy registers

The concept of fuzzy flip-flop has already been proposed. Two types of characteristic equations, that are set type and reset type, of fuzzy flip-flop have been introduced as an extended form of that of binary J-K flip-flop using the concepts of fuzzy negation, t-norm, and s-norm operations. The aim of this article is to present the hardware implementation of a fuzzy flip-flop. Fuzzy negation, t-norm, and s-norm are restricted to complementation, Min, Max, respectively for the sake of practical use. Fundamental properties of fuzzy flip-flop based on complementation, Min, and Max operations are mentioned first. Then its characteristics are graphically shown through computer simulation. Experimental results of a Min-Max type fuzzy flip-flop circuit in voltage mode are presented. Finally, an idea of a fuzzy shift register which can store and shift the membership function information defined on a finite universe of discourse is presented.