A study on statistical mechanical characteristics of fuzzy clustering

2002 ◽  
Author(s):  
M. Yasuda ◽  
T. Furuhashi ◽  
M. Matsuzaki ◽  
S. Okuma
Keyword(s):  
Fuzzy Clustering ◽  
Mechanical Characteristics ◽  
Statistical Mechanical

scholarly journals Phase Transitions in Fuzzy Clustering Based on Fuzzy Entropy

2003 ◽  
Vol 7 (3) ◽  
pp. 370-376 ◽  
Author(s):  
Makoto Yasuda ◽  
◽  
Takeshi Furuhashi ◽  
Shigeru Okuma ◽  
◽  
...  
Keyword(s):  
Phase Transitions ◽  
Fuzzy Clustering ◽  
Numerical Experiments ◽  
Mechanical Characteristics ◽  
Point Of View ◽  
Fuzzy Entropy ◽  
Number Of Clusters ◽  
Statistical Mechanical ◽  
Dirac Distribution ◽  
Dirac Function

We studied the statistical mechanical characteristics of fuzzy clustering regularized with fuzzy entropy. We obtained Fermi-Dirac distribution as a membership function by regularizing the fuzzy c-means with fuzzy entropy. We then formulated it as direct annealing clustering, and determined the meanings of the Fermi-Dirac function and fuzzy entropy from the statistical mechanical point of view, and showed that this fuzzy clustering is a part of Fermi-Dirac statistics. We also derived the critical temperature at which phase transition occurs in this fuzzy clustering. Then, with a combination of cluster divisions by phase transitions and an adequate division termination condition, we derived fuzzy clustering that automatically determined the number of clusters, as verified by numerical experiments.

Statistical-mechanical characteristics of dense planar granular systems

2012 ◽  
Vol 14 (2) ◽  
pp. 277-282 ◽  
Author(s):  
Rebecca Hihinashvili ◽  
Raphael Blumenfeld
Keyword(s):  
Mechanical Characteristics ◽  
Granular Systems ◽  
Statistical Mechanical

Mechanical characteristics of the EGJ after fundoplication compared to normal subjects and GERD patients

2001 ◽  
Vol 120 (5) ◽  
pp. A112-A112 ◽  
Author(s):  
J CURRY ◽  
G SHI ◽  
J PANDOLFINO ◽  
R JOEHL ◽  
J BRASSEUR ◽  
...  
Keyword(s):  
Mechanical Characteristics ◽  
Normal Subjects

The Analysis of Traffic Flow State on Foggy Expressway Based on Fuzzy Clustering

ICCTP 2009 ◽  
2009 ◽  
Author(s):  
Jianjun Wang ◽  
Chenfeng Xie ◽  
Zhenwen Chang ◽  
Jingjing Zhang
Keyword(s):  
Traffic Flow ◽  
Fuzzy Clustering ◽  
Flow State
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