Solving multiattribute decision problems using a linear-fractional model: The two attribute case

J. Randall Brown, Aviad A. Israeli

Research output: Contribution to journalArticlepeer-review

5 Scopus citations

Abstract

The purpose of this paper is to provide an approach for analyzing decision making problems under certainty conditions. The approach developed in this paper assumes that there are cases in which the preference structure is local and characterized by changing rates of substitution. A method is developed that includes a tool called the Constrained Choice Table (CCT) for eliciting a decision maker's rates of substitution and a model for formulating these rates of substitution into a Linear-Fractional value function which assumes linear indifference curves whose slopes can vary over the attribute space. The approach also includes a mechanism for identifying and correcting inconsistencies in the decision maker'sresponses. Finally, a scheduling problem is used to demonstrate how this approach can be used to analyze decision makingproblems. This paper focuses on the two attribute case which simplifies the mathematics and allows graphical illustrations to support the development and formulation of the model. A future paper will extend the concepts and mathematics to the general model with three or more attributes.

Original languageEnglish
Pages (from-to)45-64
Number of pages20
JournalInternational Journal of Operations and Quantitative Management
Volume15
Issue number1
StatePublished - 1 Mar 2009

Keywords

  • Linear indifference curves
  • Multiattribute decision problems

ASJC Scopus subject areas

  • Business and International Management
  • Strategy and Management
  • Management Science and Operations Research
  • Information Systems and Management
  • Management of Technology and Innovation

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