TY - JOUR
T1 - Hardware Design of Digital Parametric Conjunctors and t-Norms
AU - Cortés-Antonio, Prometeo
AU - Batyrshin, Ildar
AU - Villa-Vargas, Luis A.
AU - Rudas, Imre
AU - Molina-Lozano, Herón
AU - Ramírez-Salinas, Marco A.
N1 - Publisher Copyright:
© 2015 Taiwan Fuzzy Systems Association and Springer-Verlag Berlin Heidelberg.
PY - 2015/12/1
Y1 - 2015/12/1
N2 - This paper presents the hardware design and its implementation on FPGA of several parametric families of digital conjunctors and t-norms built from simple basic t-norms. The authors propose the method of unified presentation of the p-monotone sum, the simplified versions of the ordinal sum of t-norms and t-subnorms, and the method of extension of t-norms by the drastic t-norm. Such unification gives possibility to join several methods of construction of parametric digital conjunctors and t-norms in one scheme with the efficient FPGA implementation. The logic schemes of the proposed design are presented, and the comparative analysis of the latency time and the resources used for the implementation is given.
AB - This paper presents the hardware design and its implementation on FPGA of several parametric families of digital conjunctors and t-norms built from simple basic t-norms. The authors propose the method of unified presentation of the p-monotone sum, the simplified versions of the ordinal sum of t-norms and t-subnorms, and the method of extension of t-norms by the drastic t-norm. Such unification gives possibility to join several methods of construction of parametric digital conjunctors and t-norms in one scheme with the efficient FPGA implementation. The logic schemes of the proposed design are presented, and the comparative analysis of the latency time and the resources used for the implementation is given.
KW - Conjunctor
KW - FPGA
KW - Fuzzy logic
KW - Monotone sum
KW - Ordinal sum
KW - t-Norm
UR - http://www.scopus.com/inward/record.url?scp=84946542885&partnerID=8YFLogxK
U2 - 10.1007/s40815-015-0076-6
DO - 10.1007/s40815-015-0076-6
M3 - Artículo
SN - 1562-2479
VL - 17
SP - 559
EP - 576
JO - International Journal of Fuzzy Systems
JF - International Journal of Fuzzy Systems
IS - 4
ER -