A modified dempster-shafer theory for multicriteria optimization

L. I. Chen, S. S. Rao

Research output: Contribution to journalArticlepeer-review

15 Scopus citations


A new methodology, based on a modified Dempster-Shafer (DS) theory, is proposed for solving multicriteria design optimization problems. It is well known that considerable amount of computational information is acquired during the iterative process of optimization. Based on the computational information generated in each iteration, an evidence-based approach is presented for solving a multiobjective optimization problem. The method handles the multiple design criteria, which are often conflicting and non-commensurable, by constructing belief structures that can quantitatively evaluate the effectiveness of each design in the range 0 to 1. An overall satisfaction function is then defined for converting the original multicriteria design problem into a single-criterion problem so that standard single-objective programming techniques can be employed for the solution. The design of a mechanism in the presence of seven design criteria and eighteen design variables is considered to illustrate the computational details of the approach. This work represents the first attempt made in the literature at applying DS theory for numerical engineering optimization.

Original languageEnglish (US)
Pages (from-to)177-201
Number of pages25
JournalEngineering Optimization
Issue number3-4
StatePublished - 1998
Externally publishedYes


  • Dempster-shafer theory
  • Logical inference
  • Multicriteria optimization
  • Uncertainty

ASJC Scopus subject areas

  • Management Science and Operations Research
  • Engineering (miscellaneous)


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