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Title: Theoretical analysis of picture fuzzy clustering
Authors: Pham, Thi Minh Phuong
Pham, Huy Thong
Le, Hoang Son
Keywords: Convergence analysis
Picture fuzzy sets
Picture fuzzy clustering
Issue Date: 2018
Series/Report no.: Journal of Computer Science and Cybernetics;Vol.34(01) .- P.17-31
Abstract: Recently, picture fuzzy clustering (FC-PFS) has been introduced as a new computational intelligence tool for various problems in knowledge discovery and pattern recognition. However, an important question that was lacked in the related researches in examination of mathematical properties behind the picture fuzzy clustering algorithm such as the convergence, the boundary or the convergence rate, etc. In this paper, we will prove that FC-PFS converges to at least one local minimum. Analysis on the loss function is also considered.
ISSN: 1813-9663
Appears in Collections:Tin học và Điều khiển học (Journal of Computer Science and Cybernetics)

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