Multicriterion optimization using interval analysis
type: Item
instance of: scholarly article
title: Multicriterion optimization using interval analysis
zbMATH Open document ID: 0699.65053
DOI: 10.1007/BF02247964
author: K. Ichida
author: Yasuo Fujii
published in: Computing
publication date: 1990-01-01T00:00:00Z
review text: The authors briefly sketch some well-known approaches to transform a multicriterion optimization problem into an optimization problem with one real-valued objective function. Constraints for the decision variables are incorporated in the real-valued objective function via Lagrange multipliers and slack variables. No mention is made concerning the relation between Pareto-optimal points of the original problem and optimal points of the transformed problem. The methods described for treating the transformed problem combine bisection and interval Newton iteration.
Mathematics Subject Classification ID: 65K05
Mathematics Subject Classification ID: 65G30
Mathematics Subject Classification ID: 90C31
zbMATH DE Number: 4147425
zbMATH Keywords: interval analysis
zbMATH Keywords: multi-objective programming
zbMATH Keywords: multicriterion optimization problem
zbMATH Keywords: Lagrange multipliers
zbMATH Keywords: slack variables
zbMATH Keywords: bisection
zbMATH Keywords: interval Newton iteration
reviewed by: Herbert Fischer
MaRDI profile type: Publication
cites work: Q4068464
cites work: Q4165315
cites work: Global optimization using interval analysis: The one-dimensional case
cites work: Global optimization using interval analysis - the multi-dimensional case
cites work: Interval forms of Newtons method
cites work: An approach to multicriterion optimization problems for engineering design
cites work: Multicriteria optimization in engineering and in the sciences
description: scientific article; zbMATH DE number 4147425