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

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摘要

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.

论文关键词:Fuzzy logic,Discrete t-norm,Conjunctor,Semicopula,Finite scale,Ordinal sum,Monotone sum,FPGA

论文评审过程:Available online 30 July 2012.

论文官网地址:https://doi.org/10.1016/j.knosys.2012.07.014