### Abstract

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 language | English |
---|---|

Pages (from-to) | 177-201 |

Number of pages | 25 |

Journal | Engineering Optimization |

Volume | 30 |

Issue number | 3-4 |

State | Published - Dec 1 1998 |

Externally published | Yes |

### Fingerprint

### Keywords

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

### ASJC Scopus subject areas

- Management Science and Operations Research
- Engineering (miscellaneous)

### Cite this

*Engineering Optimization*,

*30*(3-4), 177-201.

**A modified dempster-shafer theory for multicriteria optimization.** / Chen, L. I.; Rao, Singiresu S.

Research output: Contribution to journal › Article

*Engineering Optimization*, vol. 30, no. 3-4, pp. 177-201.

}

TY - JOUR

T1 - A modified dempster-shafer theory for multicriteria optimization

AU - Chen, L. I.

AU - Rao, Singiresu S

PY - 1998/12/1

Y1 - 1998/12/1

N2 - 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.

AB - 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.

KW - Dempster-shafer theory

KW - Logical inference

KW - Multicriteria optimization

KW - Uncertainty

UR - http://www.scopus.com/inward/record.url?scp=0031639743&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0031639743&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0031639743

VL - 30

SP - 177

EP - 201

JO - Engineering Optimization

JF - Engineering Optimization

SN - 0305-215X

IS - 3-4

ER -