scholarly journals Fuzzy Interpolation Systems and Applications

10.5772/68051 ◽  
2017 ◽  
Author(s):  
Longzhi Yang ◽  
Zheming Zuo ◽  
Fei Chao ◽  
Yanpeng Qu
Keyword(s):  
Fuzzy Interpolation ◽  
Interpolation Systems

scholarly journals Experience-based rule base generation and adaptation for fuzzy interpolation

2016 ◽  
Author(s):  
Jie Li ◽  
Hubert P. H. Shum ◽  
Xin Fu ◽  
Graham Sexton ◽  
Longzhi Yang
Keyword(s):  
Rule Base ◽  
Fuzzy Interpolation

scholarly journals Fuzzy Interpolation with Extensional Fuzzy Numbers

Symmetry ◽  
2021 ◽  
Vol 13 (2) ◽  
pp. 170
Author(s):  
Michal Holčapek ◽  
Nicole Škorupová ◽  
Martin Štěpnička
Keyword(s):  
Analytical Methods ◽  
Fuzzy Numbers ◽  
Interpolation Method ◽  
Natural Extension ◽  
Real Data ◽  
Fuzzy Interpolation ◽  
The Relationship

The article develops further directions stemming from the arithmetic of extensional fuzzy numbers. It presents the existing knowledge of the relationship between the arithmetic and the proposed orderings of extensional fuzzy numbers—so-called S-orderings—and investigates distinct properties of such orderings. The desirable investigation of the S-orderings of extensional fuzzy numbers is directly used in the concept of S-function—a natural extension of the notion of a function that, in its arguments as well as results, uses extensional fuzzy numbers. One of the immediate subsequent applications is fuzzy interpolation. The article provides readers with the basic fuzzy interpolation method, investigation of its properties and an illustrative experimental example on real data. The goal of the paper is, however, much deeper than presenting a single fuzzy interpolation method. It determines direction to a wide variety of fuzzy interpolation as well as other analytical methods stemming from the concept of S-function and from the arithmetic of extensional fuzzy numbers in general.

scholarly journals Adaptive Omni-directional Walking Method with Fuzzy Interpolation for Biped Robots

2016 ◽  
Vol 4 (3) ◽  
pp. 145
Author(s):  
Haobin Shi ◽  
Xuesi Li ◽  
Huahui Chen ◽  
Shixiong Wang
Keyword(s):  
Biped Robots ◽  
Fuzzy Interpolation

scholarly journals Preserving piece-wise linearity in fuzzy interpolation

2009 ◽  
Author(s):  
Zhiheng Huang ◽  
Qiang Shen
Keyword(s):  
Fuzzy Interpolation

scholarly journals Positive Stability Analysis and Bio-Circuit Design for Nonlinear Biochemical Networks

2013 ◽  
Vol 2013 ◽  
pp. 1-8
Author(s):  
Yonghui Sun ◽  
Zhinong Wei ◽  
Guoqiang Sun
Keyword(s):  
Stability Analysis ◽  
Equilibrium Points ◽  
Sufficient Conditions ◽  
Lyapunov Stability Theory ◽  
Positive Control ◽  
Biochemical Networks ◽  
Biochemical Network ◽  
Control Input ◽  
Convex Optimization Problem ◽  
Fuzzy Interpolation

This paper is concerned with positive stability analysis and bio-circuits design for nonlinear biochemical networks. A fuzzy interpolation approach is employed to approximate nonlinear biochemical networks. Based on the Lyapunov stability theory, sufficient conditions are developed to guarantee the equilibrium points of nonlinear biochemical networks to be positive and asymptotically stable. In addition, a constrained bio-circuits design with positive control input is also considered. It is shown that the conditions can be formulated as a solution to a convex optimization problem, which can be easily facilitated by using the Matlab LMI control toolbox. Finally, a real biochemical network model is provided to illustrate the effectiveness and validity of the obtained results.

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