In this paper the conventional fuzzy k-modes algorithm for clustering categorical data is extended by representing the clusters of categorical data with fuzzy centroids instead of the hard-type centroids used in the original algorithm. Use of fuzzy centroids makes it possible to fully exploit the power of fuzzy sets in representing the uncertainty in the classification of categorical data. To t...

Utilizing an eigenfunction decomposition, we study the growth and spectra of energy in the vortical (geostrophic) and wave (ageostrophic) modes of a three-dimensional (3D) rotating stratified fluid as a function of ǫ = f/N , where f is the Coriolis parameter and N is the Brunt-Vaisala frequency. Throughout we employ a random large scale forcing in a unit aspect ratio domain and set these parame...

Keywords: The k-modes algorithm Initialization method Initial cluster centers Density Distance a b s t r a c t The leading partitional clustering technique, k-modes, is one of the most computationally efficient clustering methods for categorical data. However, the performance of the k-modes clustering algorithm which converges to numerous local minima strongly depends on initial cluster centers...

This paper deals with the transient analysis of K-out-of-N: G system consisting of Noperatingmachines. To improve system reliability, Y cold standby and S warm standbys spares areprovided to replace the failed machines. The machines are assumed to fail in multiple modes. At leastK-out-of-N machines for smooth functioning of the system. Reliability and mean time to failure areestablished in term...

Kaon excitations (kaonic modes) are investigated in hyperonic matter, where hyperons (Λ, Σ, Ξ ) are mixed in the ground state of neutron-star matter. P -wave kaon-baryon interactions as well as the s-wave interactions are taken into account within chiral effective Lagrangian, and the nonrelativistic effective baryon-baryon interactions are incorporated. When the hyperon Λ is more abundant than ...

We present neutron scattering measurements of the phonon-roton (P-R) modes of liquid He confined in 44 Å mean pore diameter gelsil in the wave vector range 0.4 ≤ Q ≤ 2.15 Å. Layer modes, modes which propagate in the liquid layers adjacent to the porous media walls, were also observed at wave vectors in the roton region (Q ' 1.95 Å) but not at Q ∼ 1.7 Å. As the gelsil is filled with He, the P-R ...

This correspondence describes extensions to the fuzzy k-means algorithm for clustering categorical data. By using a simple matching dissimilarity measure for categorical objects and modes instead of means for clusters, a new approach is developed, which allows the use of the k-means paradigm to efficiently cluster large categorical data sets. A fuzzy k-modes algorithm is presented and the effec...