Unified Bayesian Frameworks for Multi-criteria Decision-making Problems
Abstract
This paper introduces Bayesian frameworks for tackling various aspects of multi-criteria decision-making (MCDM) problems, leveraging a probabilistic interpretation of MCDM methods and challenges. By harnessing the flexibility of Bayesian models, the proposed frameworks offer statistically elegant solutions to key challenges in MCDM, such as group decision-making problems and criteria correlation. Additionally, these models can accommodate diverse forms of uncertainty in decision makers' (DMs) preferences, including normal and triangular distributions, as well as interval preferences. To address large-scale group MCDM scenarios, a probabilistic mixture model is developed, enabling the identification of homogeneous subgroups of DMs. Furthermore, a probabilistic ranking scheme is devised to assess the relative importance of criteria and alternatives based on DM(s) preferences. Through experimentation on various numerical examples, the proposed frameworks are validated, demonstrating their effectiveness and highlighting their distinguishing features in comparison to alternative methods.
Cite
@article{arxiv.2208.13390,
title = {Unified Bayesian Frameworks for Multi-criteria Decision-making Problems},
author = {Majid Mohammadi},
journal= {arXiv preprint arXiv:2208.13390},
year = {2025}
}
Comments
we discovered critical issues that required us to completely restructure and rewrite the manuscript. The revisions affect every part of the paper--from the title and abstract to the core contributions and results. Given the extent of these changes, we believe it is more appropriate to withdraw the current version and submit the revised work as a new submission