the principle of dimensionality reduction with pca is the representation of the dataset ‘x’in terms of eigenvectors ei ∈ rn  of its covariance matrix. the eigenvectors oriented in the direction with the maximum variance of x in rn carry the most      relevant information of x. these eigenvectors are called principal components [8]. assume that n images in a set are originally represented in mat...

a mathematical modelling for more-winding single-phase transformer is presented. the incidence matrix-which gives the informations about the connection of the ends of the windings between the nodes-is multiplied leftside and rightside with the inverse of the inductance matrix of the more winding transformer. the result is a matrix which gives the relationship between nodes potentials and nodes ...

There are various methods for obtaining the preference vector of pair-wise comparison matrix factors. These methods can be employed when the elements of pair-wise comparison matrix are crisp while they are inefficient for fuzzy elements of pair-wise comparison matrix. In this paper, a method is proposed by which the preference vector of pair-wise comparison matrix elements can be obtained even ...

most studies regarding the marrow-derived equine mesenchymal stem cells (mscs) have mainly focusedon the cell transplantation without considering the capacity of differentiation and in vitro requirements of thecells. these concerns were investigated in the present study. equine mscs were isolated from the sternalmarrow aspirates and expanded through two successive subcultures. passage-2 equine ...

In this paper, the notions of $(T,S)$-composition matrix and$(T,S)$-interval-valued intuitionistic fuzzy equivalence matrix areintroduced where $(T,S)$ is a dual pair of triangular module. Theyare the generalization of composition matrix and interval-valuedintuitionistic fuzzy equivalence matrix. Furthermore, theirproperties and characterizations are presented. Then a new methodbased on $tilde{...

in this paper, we investigate the existence of a positive solution of fully fuzzy linear equation systems. this paper mainly to discuss a new decomposition of a nonsingular fuzzy matrix, the symmetric times triangular (st) decomposition. by this decomposition, every nonsingular fuzzy matrix can be represented as a product of a fuzzy symmetric matrix s and a fuzzy triangular matrix t.