### 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 |
---|---|

Pages (from-to) | 27-36 |

Number of pages | 10 |

Journal | Knowledge-Based Systems |

Volume | 38 |

DOIs | |

Publication status | Published - Jan 2013 |

### Fingerprint

### Keywords

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

### ASJC Scopus subject areas

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

### Cite this

*Knowledge-Based Systems*,

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

**On the monotone sum of basic t-norms in the construction of parametric families of digital conjunctors for fuzzy systems with reconfigurable logic.** / Batyrshin, Ildar Z.; Rudas, I.; Villa, Luis A.; Cortés Antonio, Prometeo.

Research output: Contribution to journal › Article

*Knowledge-Based Systems*, vol. 38, pp. 27-36. https://doi.org/10.1016/j.knosys.2012.07.014

}

TY - JOUR

T1 - On the monotone sum of basic t-norms in the construction of parametric families of digital conjunctors for fuzzy systems with reconfigurable logic

AU - Batyrshin, Ildar Z.

AU - Rudas, I.

AU - Villa, Luis A.

AU - Cortés Antonio, Prometeo

PY - 2013/1

Y1 - 2013/1

N2 - 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.

AB - 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.

KW - Conjunctor

KW - Discrete t-norm

KW - Finite scale

KW - FPGA

KW - Fuzzy logic

KW - Monotone sum

KW - Ordinal sum

KW - Semicopula

UR - http://www.scopus.com/inward/record.url?scp=84871617253&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84871617253&partnerID=8YFLogxK

U2 - 10.1016/j.knosys.2012.07.014

DO - 10.1016/j.knosys.2012.07.014

M3 - Article

AN - SCOPUS:84871617253

VL - 38

SP - 27

EP - 36

JO - Knowledge-Based Systems

JF - Knowledge-Based Systems

SN - 0950-7051

ER -