This paper defines underlying performance quality measures for designing, optimizing, setting and evaluating the protective relaying algorithms and equipment. The paper starts with evaluation of digital measuring algorithms, and gradually introduces the performance indices for the operating principles, relays and protection systems. Multi-objective formal ranking methods based on fuzzy set theo...

This paper defines underlying performance quality measures for designing, optimizing, setting and evaluating the protective relaying algorithms and equipment. The paper starts with evaluation of digital measuring algorithms, and gradually introduces the performance indices for the operating principles, relays and protection systems. Multi-objective formal ranking methods based on fuzzy set theo...

This chapter covers a number of kinematic performance indices that are instrumental in designing parallel kinematics manipulators. These indices can be used selectively based on manipulator requirements and functionality. This would provide the very practical tool for designers to approach their needs in a very comprehensive fashion. Nevertheless, most applications require a more composite set ...

Thirty-eight patients had their cerebral function measured before and after extra-intracranial carotid bypass surgery using the Halstead-Reitan neuropsychology test battery. Two composite indices of cerebral function for each patient showed them to be impaired before operation. There was no improvement in the composite measures after operation to match that previously demonstrated after carotid...

We discuss entropy definition for composite systems composed of two Tsallis (or Rényi) systems with different q indices using the bi-composability nature. The most general bi-composable entropy form is given.

weights to different indices, there are two approaches: the first in which the weights are determined on the basis of some information or considerations exogenous to the data on index variables ( ), X xkj ∈ and the second in which the weights are endogenously determined such that ). (X f w = The most robust composite index is the one that is exogenously determined since in that case w is used a...

Let G be a connected graph. The multiplicative Zagreb eccentricity indices of G are defined respectively as Π1(G) = ∏ v∈V (G) ε 2 G(v) and Π ∗ 2(G) = ∏ uv∈E(G) εG(u)εG(v), where εG(v) is the eccentricity of vertex v in graph G and εG(v) = (εG(v)) . In this paper, we present some bounds of the multiplicative Zagreb eccentricity indices of Cartesian product graphs by means of some invariants of t...

Let $G$ be a simple connected graph. In this paper, Szeged dimension and PI$_v$ dimension of graph $G$ are introduced. It is proved that if $G$ is a graph of Szeged dimension $1$ then line graph of $G$ is 2-connected. The dimensions of five composite graphs: sum, corona, composition, disjunction and symmetric difference with strongly regular components is computed. Also explicit formulas of Sze...

Editor's Note: In a recent article published in Sociological Methods and Research, Michael Hagerty and Ken Land study the statistical foundations of how to construct composite or summary indices (e.g., Quality of Life indices) for a social unit (e.g., cities, states, nations) that will be endorsed by a majority of its citizens. Since this problem is of central importance to the Social Indicator...

subjectively or objectively by certain considerations extraneous to the dataset , X or alternatively they may endogenously be determined by the statistical information obtained from dataset X itself. Endogenous weights are frequently obtained by a statistical technique called the Principal Components Analysis (PCA), which maximizes the sum of squared coefficients of (the product moment) correla...