[引用][C] Nonlinear Multiobjective Optimization

K Miettinen - 1999 - books.google.com
Problems with multiple objectives and criteria are generally known as multiple criteria
optimization or multiple criteria decision-making (MCDM) problems. So far, these types of …

Introduction to multiobjective optimization: interactive approaches

K Miettinen, F Ruiz, AP Wierzbicki - Multiobjective optimization: interactive …, 2008 - Springer
We give an overview of interactive methods developed for solving nonlinear multiobjective
optimization problems. In interactive methods, a decision maker plays an important part and …

[图书][B] Evaluating the quality of approximations to the non-dominated set

MP Hansen, A Jaszkiewicz - 1994 - researchgate.net
$ EVWUDFW The growing interest in hard multiple objective combinatorial and non linear
problems resulted in a significant number of heuristic methods aiming at generating sets of …

Function-transformation methods for multi-objective optimization

RT Marler, JS Arora - Engineering Optimization, 2005 - Taylor & Francis
It is useful with multi-objective optimization (MOO) to transform the objective functions such
that they all have similar units and orders of magnitude. This article evaluates various …

Some methods for nonlinear multi-objective optimization

K Miettinen - International conference on evolutionary multi-criterion …, 2001 - Springer
A general overview of nonlinear multiobjective optimization methods is given. The basic
features of several methods are introduced so that an appropriate method could be found for …

Computation of ideal and nadir values and implications for their use in MCDM methods

M Ehrgott, D Tenfelde-Podehl - European Journal of Operational Research, 2003 - Elsevier
In this paper we investigate the problem of finding the Nadir point for multicriteria
optimization problems (MOP). The Nadir point is characterized by the componentwise …

A flexible method for nonlinear multicriteria decision-making problems

SC Narula, HR Weistroffer - IEEE Transactions on Systems …, 1989 - ieeexplore.ieee.org
An iterative and interactive approach to formulating and solving multicriteria decision-
making problems is proposed in which the modeling and the solution phases are not strictly …

Computational experience concerning payoff tables and minimum criterion values over the efficient set

H Isermann, RE Steuer - European journal of operational research, 1988 - Elsevier
Minimum criterion values from payoff tables have often been used in multiple objective
linear programming (MOLP). The assumption has often been that the minimum criterion …

A finite, nonadjacent extreme-point search algorithm for optimization over the efficient set

HP Benson - Journal of Optimization Theory and Applications, 1992 - Springer
The problem (P) of optimizing a linear function over the efficient set of a multiple-objective
linear program serves many useful purposes in multiple-criteria decision making …

Optimizing a linear function over an efficient set

JG Ecker, JH Song - Journal of Optimization Theory and Applications, 1994 - Springer
The problem (P) of optimizing a linear function d T x over the efficient set for a multiple-
objective linear program (M) is difficult because the efficient set is typically nonconvex. Given …