The Concept of Fuzzy Flip-Flop

A fuzzy flip-flop that can memorize fuzzy information is proposed and defined. Fuzzy negation, t-norm, and v-norm operations are used to establish two types of characteristic equations, a reset-and set-type fuzzy flip-flop. Computer simulations of each type are illustrated to show the peculiar characteristics of fuzzy negation, t-norm, and s-norm being complement, min, and max, respectively. Three other types of fundamental fuzzy operational systems are also illustrated for both types of fuzzy flip-flop. Two types are unified in the case of complement, min, and max system, and a fundamental characteristic equation of min-max fuzzy flip-flop is presented with illustrations. Moreover real hardware implementation of the fuzzy flip-flop is mentioned in terms of printed circuit board. Static and dynamic characteristics of the circuit are presented that confirm the possibility of VLSI implementation of fuzzy memory modules.