Abstract：The polygonal fuzzy number can determine a class of fuzzy information with the help of the orderly representation of real numbers. It can not only approximate a general fuzzy number according to arbitrary precision, but also it overcomes the complexity the arithmetic operations of fuzzy numbers based on Zadeh's extended principle. In this article, we first introduce the definition of the polygonal fuzzy number and its orderly representation, and its extended arithmetic operations and the metric formula are given. Secondly, the multiple attribute index information of clustering objects are described through the orderly representation of polygonal fuzzy numbers, and then, the optimal fuzzy partition (matrix) and clustering centers are obtained by the objective function, and a fuzzy c-means (FCM) clustering algorithm is put forward based on the pattern of polygonal fuzzy numbers to describe multiple attribute index information. Finally, try to prove that algorithm is prior to trapezoidal fuzzy number to describe index information through a numerical example.
段云, 王贵君. 基于折线模糊数多属性指标信息的FCM聚类算法[J]. 系统工程理论与实践, 2016, 36(12): 3220-3228.
DUAN Yun, WANG Guijun. A FCM clustering algorithm based on polygonal fuzzy numbersto describe multiple attribute index information. Systems Engineering - Theory & Practice, 2016, 36(12): 3220-3228.
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2016, Vol. 36 
