The Concept of Fuzzy Flip-Flop

Kaoru Hirota, Kazuhiro Ozawa

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Abstract

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.

Original languageEnglish
Pages (from-to)980-997
Number of pages18
JournalIEEE Transactions on Systems, Man and Cybernetics
Volume19
Issue number5
DOIs
Publication statusPublished - 1989
Externally publishedYes

Cite this

Hirota, K., & Ozawa, K. (1989). The Concept of Fuzzy Flip-Flop. IEEE Transactions on Systems, Man and Cybernetics, 19(5), 980-997. https://doi.org/10.1109/21.44013