Sparse Signal Recovery for ultrasonic detection and reconstruction of shadowed flaws

Differential Evolution with Shadowed and General Type-2 Fuzzy Systems for Dynamic Parameter Adaptation in Optimal Design of Fuzzy Controllers

“…For example, a shadowed set-based method and its application to large-scale group decision making was proposed in [2], a more comprehensible perspective for interval shadowed sets obtained from fuzzy sets was put forward in [3], an interval data driven construction of shadowed sets with application to linguistic word modelling was outlined in [4], and a shadowed set approximation of fuzzy sets based on nearest quota of fuzziness was described in [5]. In addition, an approach for parameterized shadowed type-2 fuzzy membership functions applied in control applications was outlined in [6], a two-threshold model for shadowed set with gradual representation of cardinality is presented in [7], a hybrid design of shadowed type-2 fuzzy inference systems applied in diagnosis problems was put forward in [8], shadowed sets as a way for representing and processing fuzzy sets is presented in [9], a sparse signal recovery for ultrasonic detection and reconstruction of shadowed flaws is shown in [10], a constrained three-way approximations of fuzzy sets: from the perspective of minimal distance in [11]. Moreover, a method for constructing shadowed sets and three-way approximations of fuzzy sets in [12], an entropy-based shadowed set approximation of intuitionistic fuzzy sets in [13], a game theoretic approach to shadowed sets is presented in [14], shadowed sets of dynamic fuzzy sets are presented in [15], a constrained shadowed sets and fast optimization algorithm are outlined in [16], fuzzy-entropy-based game theoretic shadowed sets are described in [17], and shadowed sets-based linguistic term modeling and its application in multi-attribute decision-making are studied in [18], just to mention some related papers.…”

Frequency Subsampling of Ultrasound Nondestructive Measurements: Acquisition, Reconstruction, and Performance

“…More recently, model based approaches have been introduced, where the main idea is to treat the reconstruction as an inverse problem based on a physically derived model matrix that is solved using standard tools from linear algebra [4]. This enables us to include more complex mechanisms of wave propagation that cannot be captured by simple DAS such as attenuation and temporal dispersion [5], or acoustic shadowing [6]. Additionally one can account for the pulse shape or elementary signature [7], which is usually modeled as the real part of a Gaussian windowed sinusoid [8].…”