Extension of the Multi-TP Model Transformation to Functions with Different Numbers of Variables
Author
Source
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-03-19
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
The tensor product (TP) model transformation defines and numerically reconstructs the Higher-Order Singular Value Decomposition (HOSVD) of functions.
It plays the same role with respect to functions as HOSVD does for tensors (and SVD for matrices).
The need for certain advantageous features, such as rank/complexity reduction, trade-offs between complexity and accuracy, and a manipulation power representative of the TP form, has motivated novel concepts in TS fuzzy model based modelling and control.
The latest extensions of the TP model transformation, called the multi- and generalised TP model transformations, are applicable to a set functions where the dimensionality of the outputs of the functions may differ, but there is a strict limitation on the dimensionality of their inputs, which must be the same.
The paper proposes an extended version that is applicable to a set of functions where both the input and output dimensionalities of the functions may differ.
This makes it possible to transform complete multicomponent systems to TS fuzzy models along with the above-mentioned advantages.
American Psychological Association (APA)
Baranyi, Péter. 2018. Extension of the Multi-TP Model Transformation to Functions with Different Numbers of Variables. Complexity،Vol. 2018, no. 2018, pp.1-9.
https://search.emarefa.net/detail/BIM-1136253
Modern Language Association (MLA)
Baranyi, Péter. Extension of the Multi-TP Model Transformation to Functions with Different Numbers of Variables. Complexity No. 2018 (2018), pp.1-9.
https://search.emarefa.net/detail/BIM-1136253
American Medical Association (AMA)
Baranyi, Péter. Extension of the Multi-TP Model Transformation to Functions with Different Numbers of Variables. Complexity. 2018. Vol. 2018, no. 2018, pp.1-9.
https://search.emarefa.net/detail/BIM-1136253
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1136253