A New Approach to the Similarity Analysis in Bionic Engineering and its Applications

2013 ◽  
Vol 461 ◽  
pp. 461-468
Author(s):  
Jin Tong ◽  
Mo Li ◽  
Ji Li Wang ◽  
Qing Zhu Zhang
Keyword(s):  
Similarity Theory ◽  
Computation Method ◽  
Praying Mantis ◽  
New Approach ◽  
Similarity Degree ◽  
Fuzzy Similarity ◽  
Living Things ◽  
Bionic Engineering ◽  
Core Idea ◽  
Scaling Coefficient

The similarity phenomenon exists widely in nature and similarity theory is of importance in various types of engineering problems, especially in bionic engineering. In this work,a conception of fuzzy similarity was introduced. An effective mathematical method was put forward to identify the extent of morphological similarity between two living things of the homogenous species or the heterogeneous species and quantitative analysis of the similarity degree was carried out. A computer program based on the genetic algorithm was developed to solve and optimize the numerical scaling coefficient between an original profile data and a target one. To seek the maximum fuzzy similarity degree, an object function which is the core idea in this method was built to compute the similarity coefficient according to the corresponding points in these two sample profiles. Moreover, a series of arrays from the profiles of the foreleg of praying mantis (Mantis religiosa Linnaeus) was imported into the program. The results indicated the fuzzy similarity degree of samples was considerably high, which means the shape of the praying mantiss apical claw is quite uniform. Therefore, this computation method of similarity degree is effective.

Integrated Fuzzy Analysis and Group Decision Making Method for Collaborative Product Development

2008 ◽  
Vol 44-46 ◽  
pp. 267-274
Author(s):  
Hao Bo Qiu ◽  
Chao Yong Zhang ◽  
Ping Jiang ◽  
Xin Yu Shao
Keyword(s):  
Decision Making ◽  
Product Development ◽  
Group Decision Making ◽  
Group Decision ◽  
Evaluation Process ◽  
Integrated Product Development ◽  
New Approach ◽  
Fuzzy Similarity ◽  
Hierarchy Process ◽  
Process Method

Group decision-making is one of the most important issues in product development. In order to tackle the vague and sometimes conflicting decision data, this paper presents a new approach based on fuzzy similarity and fuzzy compromise to deal with the fuzzy nature of group decisions. In the proposed method, a modified fuzzy Analytical Hierarchy Process method is used to get the criterion weights, a novel consensus aggregation algorithm is given to obtain the conflict-free results, and an improved compromise decision means is utilized to calculate the utilities of alternatives. Finally an integrated product development solution evaluation process is illustrated as a numerical example, and the corresponding software package is also developed.

Prediction by k-NN and MLP a New Approach Based on Fuzzy Similarity Quality Measure. A Case Study

2019 ◽  
pp. 337-347
Author(s):  
Yaima Filiberto ◽  
Rafael Bello ◽  
Wilfredo Martinez ◽  
Dianne Arias ◽  
Ileana Cadenas ◽  
...  
Keyword(s):  
Quality Measure ◽  
New Approach ◽  
Fuzzy Similarity

Address of the President Lord Adrian, O.M., at the Anniversary Meeting, 30 November 1955

1956 ◽  
Vol 144 (917) ◽  
pp. 431-440
Keyword(s):  
Design Of Experiments ◽  
Inductive Inference ◽  
Small Samples ◽  
Quantitative Biology ◽  
Physical Sciences ◽  
New Approach ◽  
The Past ◽  
Living Things ◽  
Biological Insight ◽  
Mathematical Skill

The Copley Medal is awarded to Sir Ronald Fisher, F. R. S. The rise of quantitative biology, which has been so noteworthy a feature of this century and especially of the past thirty years or so, has been due above all to the work of R. A. Fisher. The variability of living things posed problems and raised difficulties in the interpretation of experimental and observational data which made necessary something beyond the methods of the physical sciences. They required in fact a new approach to inductive inference, and one which would provide means of drawing conclusions of assessable reliability from variable material often available only in small samples. It is to Fisher’s combination of mathematical skill and biological insight that we owe the developments, both theoretical and practical, which have done so much towards solving this problem and so making biologists of virtually every kind quantitative in their experiments, their analysis, and, most important of all, their thought. Faced with the agronomical problems of Rothamsted, whose staff he joined in 1919, Fisher began the remarkable series of statistical investigations which gave us the techniques described in Statistical methods , the tabular matter of Statistical tables (published with F. Yates) for facilitating their use, and the philosophy of Design of experiments by which they may be understood, appreciated and extended. The outcome has not merely stood the test of time in those branches of biology with which he was immediately concerned, but has had an ever-widening influence which now extends even beyond the borders of biology itself. And in building the new biometry, Fisher has given especially to the younger biologists a confidence and quantitative outlook whose full effects we have still to see.

The Modified Power Method for Solving the Eigenvalue Problem with the Use of Idempotent Matrix

2015 ◽  
Vol 712 ◽  
pp. 43-48
Author(s):  
Rafał Palej ◽  
Artur Krowiak ◽  
Renata Filipowska
Keyword(s):  
Eigenvalue Problem ◽  
Rate Of Convergence ◽  
Rayleigh Quotient ◽  
Frobenius Norm ◽  
Dominant Eigenvalue ◽  
Power Method ◽  
New Approach ◽  
Idempotent Matrix ◽  
The Given ◽  
Scaling Coefficient

The work presents a new approach to the power method serving the purpose of solving the eigenvalue problem of a matrix. Instead of calculating the eigenvector corresponding to the dominant eigenvalue from the formula , the idempotent matrix B associated with the given matrix A is calculated from the formula , where m stands for the method’s rate of convergence. The scaling coefficient ki is determined by the quotient of any norms of matrices Bi and or by the reciprocal of the Frobenius norm of matrix Bi. In the presented approach the condition for completing calculations has the form. Once the calculations are completed, the columns of matrix B are vectors parallel to the eigenvector corresponding to the dominant eigenvalue, which is calculated from the Rayleigh quotient. The new approach eliminates the necessity to use a starting vector, increases the rate of convergence and shortens the calculation time when compared to the classic method.

A New Approach to Generic Design Feature Recognition by Detecting the Hint of Topology Variation

2012 ◽  
Author(s):  
Sha Wan ◽  
Yunbao Huang ◽  
Qifu Wang ◽  
Liping Chen ◽  
Yuhang Sun
Keyword(s):  
Feature Recognition ◽  
Design Feature ◽  
Design Features ◽  
Hybrid Features ◽  
New Approach ◽  
Complex Part ◽  
Current Design ◽  
Cad Models ◽  
Core Idea ◽  
Generic Design

Current design feature recognition mainly depends on the connective attributes of edges or faces in the CAD models, such as convexity, concavity, and tangency. However, it is difficult to uniquely define the mixed connective attributes of the generic features in some cases. A novel generic design feature recognition approach by detecting the hint of topology variation is presented in this study. The core idea includes: 1) the resulting CAD model of a complex part is regarded as formed from an initial basic shape such as roughcast and has been operated by introducing generic design features, which subsequently may cause topology variation; 2) Such topology variations, e.g. vertex elimination, edge partition and face alteration, are utilized to obtain generalized properties of the generic design features, dispensing with the connective attributes. Finally, 1) we demonstrate in the experiments that the approach successfully recognizes the main types of generic design features, both isolate and hybrid features. 2) Furthermore, we exhibit the application of the approach in some engineering examples.

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