Events and Meetings of Italian Statistical Society, Advances in Latent Variables - Methods, Models and Applications

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A New PCA Method for Intuitionistic Fuzzy Sets Based on Cross-Entropy
Adel Fatemi, Poya Faroughi, Sonia Darvishi

Last modified: 2013-06-14

Abstract


We propose a new method for Principal Component Analysis in intuitionistic fuzzy situation. This approach is based on cross-entropy as an information index. This new method is a useful method for data reduction for situations in which data is not exact. Uncertainty here is due to fuzziness and missing data information, so that we have two functions (membership and non-membership). Thus, this method is suitable for Atanasov's Intuitionistic Fuzzy Sets (A-IFSs). The new PCA method is proposed for situations in which we have an uncertainty due to a mixture of fuzziness and missing data information. For the application of the method we use an example and present a conclusion.

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