### Abstract

A problem of hardware implementation of fuzzy rule-based systems with reconfigurable parametric families of operations is discussed. The methods of generation of parametric families of digital fuzzy conjunctors and t-norms by means of monotone sum and ordinal sum of basic t-norms are studied in the paper. The paper considers several methods of generation of such operations utilizing only the simplest operations, such as comparison, min, max, bounded sum and bounded difference, providing efficient hardware implementation of different reconfigurable parametric families of digital fuzzy conjunctors in one modular structure.

Original language | English |
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Pages (from-to) | 27-36 |

Number of pages | 10 |

Journal | Knowledge-Based Systems |

Volume | 38 |

DOIs | |

Publication status | Published - Jan 1 2013 |

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### Keywords

- Conjunctor
- Discrete t-norm
- FPGA
- Finite scale
- Fuzzy logic
- Monotone sum
- Ordinal sum
- Semicopula

### ASJC Scopus subject areas

- Management Information Systems
- Software
- Information Systems and Management
- Artificial Intelligence

### Cite this

*Knowledge-Based Systems*,

*38*, 27-36. https://doi.org/10.1016/j.knosys.2012.07.014