# Support Vector Machine Based on Type-2 Fuzzy Training Samples

• Ha, Ming-Hu ;
• Huang, Jia-Ying ;
• Yang, Yang ;
• Wang, Chao
• Received : 2011.11.17
• Accepted : 2012.02.19
• Published : 2012.03.01
• 65 4

#### Abstract

In order to deal with the classification problems of type-2 fuzzy training samples on generalized credibility space. Firstly the type-2 fuzzy training samples are reduced to ordinary fuzzy samples by the mean reduction method. Secondly the definition of strong fuzzy linear separable data for type-2 fuzzy samples on generalized credibility space is introduced. Further, by utilizing fuzzy chance-constrained programming and classic support vector machine, a support vector machine based on type-2 fuzzy training samples and established on generalized credibility space is given. An example shows the efficiency of the support vector machine.

#### Keywords

Type-2 Fuzzy Training Samples;Mean Reduction Method;Fuzzy Chance-Constrained Programming;Support Vector Machine

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#### Cited by

1. A new support vector machine based on type-2 fuzzy samples vol.17, pp.11, 2013, https://doi.org/10.1007/s00500-013-1122-7