2020
DOI: 10.1016/j.knosys.2020.106530
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How to implement MCDM tools and continuous logic into neural computation?

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Cited by 15 publications
(15 citation statements)
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“…Our strategy consists of implementing networks based on logical gates, modeled by Perceptron with fixed weights and biases. This hybrid neural model was introduced in [ 9 , 10 ]. Here, a single Perceptron in the NN network is activated by so-called Squashing activation functions, differentiable, a parametric family of functions that satisfy natural invariance requirements and contain rectified linear units as a particular case [ 16 , 17 ].…”
Section: Methodsmentioning
confidence: 99%
See 2 more Smart Citations
“…Our strategy consists of implementing networks based on logical gates, modeled by Perceptron with fixed weights and biases. This hybrid neural model was introduced in [ 9 , 10 ]. Here, a single Perceptron in the NN network is activated by so-called Squashing activation functions, differentiable, a parametric family of functions that satisfy natural invariance requirements and contain rectified linear units as a particular case [ 16 , 17 ].…”
Section: Methodsmentioning
confidence: 99%
“…Thus, the Perceptron in the neural networks' hidden layers can model a threshold-based nilpotent operator [ 9 , 10 ]: a conjunction, a disjunction, or even an aggregative operator.…”
Section: Methodsmentioning
confidence: 99%
See 1 more Smart Citation
“…Thus, the Perceptron in the neural networks' hidden layers can model a threshold-based nilpotent operator (Csiszár et al, 2020a(Csiszár et al, , 2020b): a conjunction, a disjunction, or even an aggregative operator. This means that the weights of the first layer is to be learned, while the hidden layers of the pre-designed neural block, worked as logical operators with frozen weights and biases.…”
Section: Continuous-valued Logic Multi-criteria Decision Operators Anmentioning
confidence: 99%
“…Here, we are introducing a 'different recommender system' which is a combination of methods to generate synthetic populations while keeping personal data protected when needed for Artificial Intelligence (AI) applications and the use of novel methods based on continuous-valued logic and multi-criteria decision operators aimed for a robust, safer, and more understandable use of deep learning. By combining neural networks with continuous logic and multi-criteria decision-making tools, thus reducing in this way the black-box nature of neural models (Csiszár et al, 2020a(Csiszár et al, , 2020bRiegel et al, 2020;Shi et al, 2019). By doing this, we are exploring the (often overlooked) possibility of combining neural networks with continuous logical systems.…”
Section: Introductionmentioning
confidence: 99%