Research Article | OPEN ACCESS
Determination Method of Nonlinear Membership Function Based on the Fuzzy Density Means Cluster
1Liu Qi, 1, 2Chen Xi, 3Wu Zhenjie, 4Liu Xuelin, 5Wang Jie and 6Chen Zhanwei
1Department of Physics and Electronic Engineering
2Deparement of Laboratory and Equipment Management, Zhoukou Normal University,
Zhoukou 466001, China
3Henan Pinggao Toshiba High Voltage Switchgear Co. Ltd., Pingdingshan 467000, China
4Medical Instrument Testing Institute of Henan Province, Zhengzhou 450003, China
5School of Electric Engineering, Zhengzhou University, Zhengzhou 450001, China
6Department of Computer Science, Zhoukou Normal University, Zhoukou 466001, China
Research Journal of Applied Sciences, Engineering and Technology 2013 8:2527-2530
Received: July 27, 2012 | Accepted: September 03, 2012 | Published: March 15, 2013
Abstract
Gaussian and Sigmoid membership function are commonly used, both of which have well smoothness, clear physical meaning and have no zeros in their figures. In this paper, fuzzy density means clustering method based on data distance is put forward, by using this method, the initial cluster center is obtained objectively, which has avoided the cluster results falling into a local minimum, finally the parameters used for describe the membership function are got. Through simulation, the membership function of data EB_Da51 in petroleum drilling is determined, which solves the problem that the function is hard to be defined.
Keywords:
Function approximation, fuzzy density means cluster, initial cluster center, membership function, petroleum drilling, variation of total volume,
Competing interests
The authors have no competing interests.
Open Access Policy
This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
Copyright
The authors have no competing interests.
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ISSN (Online): 2040-7467
ISSN (Print): 2040-7459 |
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