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The fuzzy antecedent in the TS model is defined as an and-conjunction by means of the products operator Wolfs and Willems (2013) mu_{i} left( x right);; = ;;prodnolimits_{j;; = ;;1}^{p} {mu_{ij} left( {x_{j} } right)} (9 where x j is the jth input variable in the p dimensional input data space, and μ ij the membership degree of x j to the fuzzy set describing the jth premise part of the ith rule.
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This work follows Equation 4 to generate fuzzy rules, and the product operator (PROD) is selected as the fuzzy set operation for AND intersection operator.
where denotes Hadamard product operator.
A product operator matrix is proposed to describe scalar couplings in liquid NMR.
A combination of the demagnetizing field theory and product operator formalism was utilized in the derivation.
where ⊙ is the element-wise product operator and the fraction is the element-wise division operator.
The symbol ⊛ stands for the convolution operator and ⊗ for the Kronecker product operator.
In ANFIS, a product operator is applied to assess the conjunction of the rule antecedents.
The fuzzy technique used the fuzzy algebraic product operator, fuzzy algebraic sum operator, and fuzzy gamma operator.
A recently developed multi-product, operator splitting method permits, in principle, convergence to any even order of the time step.
This new structure is called a slice matrix and is computed with a custom matrix/vector product operator.
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