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Pairwise Comparisons Method

Author : Jaroslav Ramík
Publisher : Springer Nature
Page : 240 pages
File Size : 41,83 MB
Release : 2020-02-24
Category : Mathematics
ISBN : 3030398919

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This book examines relationships between pairwise comparisons matrices. It first provides an overview of the latest theories of pairwise comparisons in decision making, discussing the pairwise comparison matrix, a fundamental tool for further investigation, as a deterministic matrix with given elements. Subsequent chapters then investigate these matrices under uncertainty, as a matrix with vague elements (fuzzy and/or intuitionistic fuzzy ones), and also as random elements. The second part of the book describes the application of the theoretical results in the three most popular multicriteria decision-making methods: the Analytic Hierarchy Process (AHP), PROMETHEE and TOPSIS. This book appeals to scholars in areas such as decision theory, operations research, optimization theory, algebra, interval analysis and fuzzy sets.

Application of Systematic Review Methods in an Overall Strategy for Evaluating Low-Dose Toxicity from Endocrine Active Chemicals

Author : National Academies of Sciences, Engineering, and Medicine
Publisher : National Academies Press
Page : 423 pages
File Size : 47,31 MB
Release : 2017-08-14
Category : Science
ISBN : 0309458625

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To safeguard public health, the US Environmental Protection Agency (EPA) must keep abreast of new scientific information and emerging technologies so that it can apply them to regulatory decision-making. For decades the agency has dealt with questions about what animal-testing data to use to make predictions about human health hazards, how to perform dose-response extrapolations, how to identify and protect susceptible subpopulations, and how to address uncertainties. As alternatives to traditional toxicity testing have emerged, the agency has been faced with additional questions about how to incorporate data from such tests into its chemical assessments and whether such tests can replace some traditional testing methods. Endocrine active chemicals (EACs) have raised concerns that traditional toxicity-testing protocols might be inadequate to identify all potential hazards to human health because they have the ability to modulate normal hormone function, and small alterations in hormone concentrations, particularly during sensitive life stages, can have lasting and significant effects. To address concerns about potential human health effects from EACs at low doses, this report develops a strategy to evaluate the evidence for such low-dose effects.

Theory Of Difference Equations Numerical Methods And Applications

Author : V. Lakshmikantham
Publisher : CRC Press
Page : 294 pages
File Size : 39,85 MB
Release : 2002-06-12
Category : Mathematics
ISBN : 0824744241

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"Provides a clear and comprehensive overview of the fundamental theories, numerical methods, and iterative processes encountered in difference calculus. Explores classical problems such as orthological polynomials, the Euclidean algorithm, roots of polynomials, and well-conditioning."

Theory of Difference Equations Numerical Methods and Applications by V Lakshmikantham and D Trigiante

Author : Lakshmikantham
Publisher : Elsevier
Page : 255 pages
File Size : 25,98 MB
Release : 1988-05-01
Category : Technology & Engineering
ISBN : 0080958699

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In this book, we study theoretical and practical aspects of computing methods for mathematical modelling of nonlinear systems. A number of computing techniques are considered, such as methods of operator approximation with any given accuracy; operator interpolation techniques including a non-Lagrange interpolation; methods of system representation subject to constraints associated with concepts of causality, memory and stationarity; methods of system representation with an accuracy that is the best within a given class of models; methods of covariance matrix estimation;methods for low-rank matrix approximations; hybrid methods based on a combination of iterative procedures and best operator approximation; andmethods for information compression and filtering under condition that a filter model should satisfy restrictions associated with causality and different types of memory.As a result, the book represents a blend of new methods in general computational analysis,and specific, but also generic, techniques for study of systems theory ant its particularbranches, such as optimal filtering and information compression. - Best operator approximation,- Non-Lagrange interpolation,- Generic Karhunen-Loeve transform- Generalised low-rank matrix approximation- Optimal data compression- Optimal nonlinear filtering

Difference Equations and Inequalities

Author : Ravi P. Agarwal
Publisher : CRC Press
Page : 1010 pages
File Size : 19,73 MB
Release : 2000-01-27
Category : Mathematics
ISBN : 9781420027020

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A study of difference equations and inequalities. This second edition offers real-world examples and uses of difference equations in probability theory, queuing and statistical problems, stochastic time series, combinatorial analysis, number theory, geometry, electrical networks, quanta in radiation, genetics, economics, psychology, sociology, and

Bootstrap Methods and Their Application

Author : A. C. Davison
Publisher : Cambridge University Press
Page : 606 pages
File Size : 16,64 MB
Release : 1997-10-28
Category : Computers
ISBN : 9780521574716

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Disk contains the library functions and documentation for use with Splus for Windows.

Analytic Hierarchy Process - Models, Methods, Concepts, and Applications

Author : Antonella Petrillo
Publisher : BoD – Books on Demand
Page : 252 pages
File Size : 49,40 MB
Release : 2023-07-12
Category : Business & Economics
ISBN : 1837695415

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Analytic Hierarchy Process is one of the most widely known and applied multi-criteria decision-making methodologies worldwide. Its potential to analyze complex decision-making problems is enormous. This makes the methodology a very flexible "tool" that can be applied in various scenarios (social, engineering, economic, political, environmental, location, market share, etc.). The idea of the book is to present examples and case studies based on a rigorous scientific approach to Analytic Hierarchy Process. This book is intended to be a useful resource for anyone who deals with this issue.

Computational Methods in Reactor Shielding

Author : James Wood
Publisher : Elsevier
Page : 450 pages
File Size : 28,25 MB
Release : 2013-10-22
Category : Technology & Engineering
ISBN : 1483148130

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Computational Methods in Reactor Shielding deals with the mathematical processes involved in how to effectively control the dangerous effect of nuclear radiation. Reactor shielding is considered an important aspect in the operation of reactor systems to ensure the safety of personnel and others that can be directly or indirectly affected. Composed of seven chapters, the book discusses ionizing radiation and how it aids in the control and containment of radioactive substances that are considered harmful to all living things. The text also outlines the necessary radiation quantities and units that are needed for a systemic control of shielding and presents an examination of the main sources of nuclear radiation. A discussion of the gamma photon cross sections and an introduction to BMIX, a computer program used in illustrating a technique in identifying the gamma ray build-up factor for a reactor shield, are added. The selection also discusses various mathematical representations and areas of shielding theory that are being used in radiation shielding. The book is of great value to those involved in the development and implementation of systems to minimize and control the dangerous and lethal effect of radiation.