Multiple utility constrained multi-objective programs using Bayesian theory

Journal of Industrial Engineering International

دوره 14، شماره 1، خرداد 2018   

نویسندگان

Pooneh Abbasian¹؛ Nezam Mahdavi-Amiri²؛ Hamed Fazlollahtabar^{* 3}

¹Department of Industrial Engineering, Mazandaran University of Science and Technology, Babol, Iran

²Faculty of Mathematical Sciences, Sharif University of Technology, Tehran, Iran

³Department of Industrial Engineering, College of Engineering, Damghan University, Damghan, Iran

چکیده

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.

کلیدواژه‌ها

Multi؛ objective program . Utility function . Bayesian theory