Fuzzy Hold Flip-Flop and Flip-Flops Hardware Realizations

This paper presents a new type Hold (H) of two-input fuzzy flip-flops. The definition of fuzzy H flip-flop for different fuzzy operations is given, the characteristics presented and selected properties pointed out. The new flip-flop is compared with other two-input fuzzy flip-flops described in the literature. Moreover, the potential for hardware implementation of fuzzy flip-flops is analyzed and diagrams, with the use of standard digital blocks, given. Special attention is paid to Lukasiewicz fuzzy flip-flops which allow efficient hardware realization. After the identification of the essential features of FPGAs, the presented diagrams were implemented in a Spartan-6 device. This allows the assessment of the suitability of FPGAs for fuzzy flip-flop implementations, as well as reception of fast and area optimized fuzzy flip-flops.

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