Multiple utility constrained multi-objective programs using Bayesian theory

Subject Areas : Mathematical Optimization

Pooneh  Abbasian ¹ (Department of Industrial Engineering, Mazandaran University of Science and Technology, Babol, Iran)
Nezam  Mahdavi-Amiri ² (Faculty of Mathematical Sciences, Sharif University of Technology, Tehran, Iran)
Hamed  Fazlollahtabar ³ (Department of Industrial Engineering, College of Engineering, Damghan University, Damghan, Iran)

Received: 2020-10-06 Accepted : 2020-10-06 Published : 2018-03-01

Keywords: Multi, objective program . Utility function . Bayesian theory,

Abstract :

A utility function is an important tool for representing a DM’s preference. We adjoin utility functions to multi-objective optimization problems. In current studies, usually one utility function is used for each objective function. Situations may arise for a goal to have multiple utility functions. Here, we consider a constrained multi-objective problem with each objective having multiple utility functions. We induce the probability of the utilities for each objective function using Bayesian theory. Illustrative examples considering dependence and independence of variables are worked through to demonstrate the usefulness of the proposed model.