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

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.