Abstract

Based on multiple ethnic elements, we investigate the effectiveness of environmental art design by detailedly analyzing the mixed attribute information with real value, interval number or natural language. Considering the traditional numerical information(e.g., FCM clustering algorithm), we propose a new algorithm for clustering analysis. In this method, we first introduce the clustering analysis problem with hybrid multi index information, and put forward two theorems about determining the optimal partition and the optimal clustering center based on the hybrid multi index information, we then give the iteration steps of the FCM clustering algorithm for mixed attribute information. Based on the two optimal parameters, a case study of multi-ethnic elements is made, and the effectiveness of environmental art design is analyzed. Due to a lack of adequate characterization of single similarity measure, we employ a combined similarity clustering analysis method in this paper, i.e., make use of the combined similarity to summarize the relationship between various ethnic factors and environmental design, which greatly improves the reliability and comprehensiveness of similarity measure and, can be applying in making reasonable classification of the hybrid multi index information. This method, which is intuitive, easy to operate, and convenient for application, not only can be used in the study on environmental art design of ethnic elements, but also lays a foundation for further analysis of related issues.

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