Multicriteria Evaluation and Optimization Nonlinear Trade-off Scheme
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Date
2014
Journal Title
Journal ISSN
Volume Title
Publisher
Computer Communication & Collaboration (Vol. 2, Issue 1, 2014) Submitted on 25/November/2013
Abstract
Finding a multicriteria solution is inherently a compromise and is based on using subjective
information.Given this information and a compromise scheme selected, it is possible to pass fromthe
general vector expression to the scalar convolution of partial criteria, which provides a basis for a
constructive apparatus to solve multicriteria problems. Solving the problem is based on the
hypothesis that there exists a utility function [1] appearing in the DM’s brain during the solution of a
specific multicriteria problem. We may state that virtually all the approaches to determining the scalar
convolution of criteria are reduced to constructing one mathematical model or another of the DM’s
utility function.
The problem is to approximate correctly the utility function and to construct a substantial
mathematical model as a scalar convolution, adequate to the given situation, to solve different
multicriteria problems.
Description
Keywords
Multicriteria problems
Citation
The concept of nonlinear trade-off scheme in multicriteria problems of evaluation and optimization is presented. It is shown that the problem is to approximate correctly the decision-maker’s utility function and construct a substantialmathematical model (scalar convolution) adequate to the given situation to solve various multicriteria problems.