The linear discriminant analysis (LDA) is one of the most traditional linear dimensionality reduction methods. This paper incorporates the inter-class relationships as relevance weights into the estimation of the overall within-class scatter matrix in order to improve the performance of the basic LDA method and some of its improved variants. We demonstrate that in some specific situations the s...

‎‎in the data envelopment analysis (dea) the efficiency of the units‎ ‎can be obtained by identifying the degree of the importance of the‎ ‎criteria (inputs-outputs).in dea basic models‎, ‎challenges are zero‎ ‎and unequal weights of the criteria when decision‎- ‎making units are‎ ‎evaluated‎. ‎one of the strategies applied to deal with these problems‎ ‎is using common weights of the each input...

the optimum shape of balance weights is determined, using two different criteria. according to one, one of the balance weights should have minimum size. while the other requires that the mass moment of inertia about the axis of rotation should be minimum. in the second case, the calculus of variation is used to determine the optimum shape. graphs are presented to enable designers to find the di...

We introduce the notion of a C *-valued weight between two C *-algebras as a generalization of an ordinary weight on a C *-algebra and as a C *-version of operator valued weights on von Neumann algebras. Also, some form of lower semi-continuity will be discussed together with an extension to the Multiplier algebra. A strong but useful condition for C *-valued weights, the so-called regularity, ...

Existing ranking schemes assume all term occurrences in a given document are of equal influence. Intuitively, terms occurring in some places should have a greater influence than those elsewhere. An occurrence in an abstract may be more important than an occurrence in the body text. Although this observation is not new, there remains the issue of finding good weights for each structure. Vector s...

In this paper we propose the use of a set of weights in fuzzy modelling, the class weights, which are assigned to each class of a classification problem. We automatically generate a fuzzy model, using a three-stage methodology: (i) generation of a crisp model from a decision tree, induced from the data, (ii) transformation of the crisp model into a fuzzy one, and (iii) optimization of the fuzzy...

The body size and shape of infants and children who have distinctive physical characteristics changes constantly up to adulthood. In this sense, it cannot be emphasised enough that the size charts which can be representative of infants and children’s body size and shape precisely are required. The purpose of this study was to investigate the current size charts of the infant and children’s clot...