Combined Probabilistic and Possibilistic Used to a Build Type-2 Fuzzy Clustering Algorithm Model

Abstract:

In a noise environment probabilistic fuzzy clustering will force the noise into one or more clusters, seriously influencing the main dataset structure. We extend Type-1 membership values to Type-2 by assigning a possibilistic-membership function to each Type-1 membership value. The idea in building the Type-2 fuzzy sets is based simply on the fact that, for the same Type-1 membership value, the secondary membership function should make the larger possibility value greater than the smaller possibility value. This paper presents an efficient combined probabilistic and possibilistic method for building Type-2 fuzzy sets. Utilizing this concept we present a Type-2 FCM (T2FCM) that is an extension of the conventional FCM. The experimental results show that the T2FCM is less susceptible to noise than the Type-1 FCM. The T2FCM can ignore the inlier and outlier interrupt. The clustering results show the robustness of the proposed T2FCM because a reasonable amount of noise data does not affect its clustering performance.

• Periodical: Applied Mechanics and Materials (Volumes 284-287)
• Pages: 3060-3069
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.284-287.3060
• Online since: January 2013
• Authors: Leehter Yao, Kuei Sung Weng
• Keywords: Fuzzy C-Means, Possibilistic, Probabilistic, Type-2 Fuzzy Clustering, Type-2 Fuzzy Set

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