In view of multi-attribute decision-making problems with interval numbers in social economy and engineering system, this paper defines and analyzes the basic operational rule, normalized method, sequence comparison strategy, and the calculating formula for the distance of interval numbers and interval number sequence. It presents weighted TOPSIS decision-making model based on interval numbers o...

One of the main motivations for publishing this paper is to make available a matrix of phone-distance measures which may be useful in dealing with large corpora of conversational speech. The paper reports how this matrix of phone-distances was created from transcriber labeling disagreements, and how it can be used in a dynamic time warping algorithm to align phonetic transcriptions of conversat...

It is widely understood that the performance of the nearest neighbor (NN) rule is dependent on: (i) the way distances are computed between di↵erent examples, and (ii) the type of feature representation used. Linear filters are often used in computer vision as a pre-processing step, to extract useful feature representations. In this paper we demonstrate an equivalence between (i) and (ii) for NN...

In this paper, the discrete method of eigenvectors of covariance matrix has been used to weight minimization of steel frame structures. Eigenvectors of Covariance Matrix (ECM) algorithm is a robust and iterative method for solving optimization problems and is inspired by the CMA-ES method. Both of these methods use covariance matrix in the optimization process, but the covariance matrix calcula...

In the present paper, the ne spectrum of the Zweier matrix as anoperator over the weighted sequence space `p(w); have been examined.

In general, the similarity measure is indispensable for most traditional spectral clustering algorithms since these algorithms typically begin with the pairwise similarity matrix of a given dataset. However, a general type of input for most clustering applications is the pairwise distance matrix. In this paper, we propose a distance-based spectral clustering method which makes no assumption on ...

Abstract: The structure of bus network is very significant for bus system. To evaluate the performance of the structure of bus network, indicators basing on graph theory and complex network theory are proposed. Three forms of matrices comprising linestation matrix, weighted adjacency matrix and adjacency matrix under space P are used to represent the bus network. The paper proposes a shift powe...

in the research, six degrees of freedom hexapod parallel machine tool is studied and investigated. jacobian matrix is developed by cinematic relations differentiation and using weighted coefficient method, dimensional analysis operation is carried out on jacobian matrix. geometric parameters of cartesian robot workspace are optimized, considering a minimum allowable rotation about three axes, a...

in the present paper, we introduce the sequence space [{l_p}(e,delta) = left{ x = (x_n)_{n = 1}^infty : sum_{n = 1}^infty left|  sum_{j in {e_n}} x_j - sum_{j in e_{n + 1}} x_jright| ^p < infty right},] where $e=(e_n)$ is a partition of finite subsets of the positive integers and $pge 1$. we investigate its topological properties and inclusion relations. moreover, we consider the problem of fin...

It has recently been shown that the performance of multivariate exponentially weighted mean square (MEWMS) and multivariate exponentially weighted moving variance (MEWMV) charts of Huwang et al. (2007) in monitoring the variability of a multivariate process for individual observations is better than existing schemes. Both of these control charts monitor a distinct matrix which is an estimator o...