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Mathematical programming with multiple objectives: A tutorial

Computers & Operations Research, 1980
Abstract A system of classifying about two dozen major methods for mathematical programming with multiple objectives, or multiple objective decision making (MODM) is presented. The classification has been based upon four categories of the preference information given to the analyst by a decision maker: (1) a priori , (2) progressive, (3) a ...
Hwang, C.L.   +3 more
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Multiplicative bases approach in mathematical cybernetics

Proceedings of the 12th IAPR International Conference on Pattern Recognition (Cat. No.94CH3440-5), 2002
Multiplicative bases supply an efficient mathematical apparatus for solving various applied problems of pattern recognition, machine learning, threshold logic, finite-state automata, finite-time systems. The essence of such approach consists in finite-group-coding of finite values of features, classes, truth values, states, instants of time.
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Multiple Transforms for Mathematical Physics Courses

American Journal of Physics, 1966
Multiple transforms are used to solve five partial differential equations subject to boundary and initial conditions. The simplifications over single transforms that result are: the reduction of the original equation and boundary relations to a single algebraic equation, the removal of singularities in the transformed time plane (s plane) which do not ...
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Multiple Objective Mathematical Programming with Respect to Multiple Decision-Makers

Operations Research, 1980
We consider the important problem of obtaining a “majority consensus” among a number of individuals on the solution to a multiple objective optimization problem. When the number of objectives is greater than two, we observe that such a consensus exists-only under strong symmetry conditions.
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Multiple fault diagnosis using mathematical models

2013 9th Asian Control Conference (ASCC), 2013
Multiple fault diagnosis is a challenging problem because the number of candidates grows exponentially in the number of faults. The multiple fault problems is important, since the single fault assumption can lead to incorrect or failed diagnoses when multiple faults occur.
Lotfi Mhamdi   +3 more
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Demyelination patterns in a mathematical model of multiple sclerosis

Journal of Mathematical Biology, 2016
In this paper we derive a reaction-diffusion-chemotaxis model for the dynamics of multiple sclerosis. We focus on the early inflammatory phase of the disease characterized by activated local microglia, with the recruitment of a systemically activated immune response, and by oligodendrocyte apoptosis. The model consists of three equations describing the
Lombardo M. C.   +5 more
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Teaching Mathematics with Technology: Multiples

The Arithmetic Teacher, 1987
Throughout children's study of mathematics, the concept of multiples and the skills associated with multiples play an important role. Initially, children's love of rhymes such as “two, four, six, eight, meet me at the garden gate” is extended to include skip counting with numbers other than 2.
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Multiplication of Distributions in Mathematical Physics

2016
We expose a mathematical method that permits to treat calculations in form of multiplications of distributions that arise in various areas of mathematical physics, starting with an analysis of the famous Schwartz impossibility result (1954), then a construction of products of distributions, with examples and references of use in various domains of ...
J. Aragona   +4 more
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On Efficient Solutions to Multiple Objective Mathematical Programs

Management Science, 1984
This note develops properties of quasi-efficient solutions and explores interrelationships to the classical concept of efficiency. In particular, a point is a quasi-efficient solution to a multiple objective mathematical program if and only if it is an optimal solution to a scalar maximum problem for some set of nonnegative weights on the objectives ...
T. J. Lowe   +3 more
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A mathematical model of cell death in multiple sclerosis

Journal of Neuroscience Methods, 2011
This paper imparts a mathematical model of multiple sclerosis (MS) that was created using Biochemical Systems Theory (BST). This method uses mechanisms and initial values from the literature to create a mathematical model of a disease. The model can then be used to test potential drug therapies and to detect possible trigger points for the disease. The
Taylor M, Broome, Randolph A, Coleman
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