### Abstract

J-K flip-flops are elementary digital units providing sequential features/memory functions. Their definitive equation is used both in the minimal disjunctive and conjunctive forms. Fuzzy connectives do not satisfy all Boolean axioms, thus the fuzzy equivalents of these equations result in two non-equivalent definitions, "reset and set type" fuzzy flip-flops (F^{3}) by Hirota & al. when introducing the concept of F ^{3}. The paper gives an overview of some of the most famous F ^{3}-s by presenting their definitions and graphs. An interesting aspect of F^{3}-s might be that they have a certain convergent behavior when one of their inputs (e.g. J) is exited repeatedly. This is true even if the other input (K) is kept at a constant value. The behavior is more versatile if both inputs are given a series of changing values. If J is considered the equivalent of the traditional input of a neuron (with an adder unit applied before J), K might play a secondary modifier's role, or can just be set fix. The paper encourages to the investigation of such possible F^{3}-networks as new alternative types of neural networks.

Original language | English |
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Title of host publication | 2007 IEEE International Conference on Fuzzy Systems, FUZZY |

DOIs | |

Publication status | Published - Dec 1 2007 |

Event | 2007 IEEE International Conference on Fuzzy Systems, FUZZY - London, United Kingdom Duration: Jul 23 2007 → Jul 26 2007 |

### Publication series

Name | IEEE International Conference on Fuzzy Systems |
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ISSN (Print) | 1098-7584 |

### Other

Other | 2007 IEEE International Conference on Fuzzy Systems, FUZZY |
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Country | United Kingdom |

City | London |

Period | 7/23/07 → 7/26/07 |

### ASJC Scopus subject areas

- Software
- Theoretical Computer Science
- Artificial Intelligence
- Applied Mathematics

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## Cite this

*2007 IEEE International Conference on Fuzzy Systems, FUZZY*[4295435] (IEEE International Conference on Fuzzy Systems). https://doi.org/10.1109/FUZZY.2007.4295435