# Composition of Credal Sets via Polyhedral Geometry

## TL;DR

This paper explores a new method for constructing multidimensional credal sets using polyhedral geometry, enhancing computational techniques in uncertainty modeling.

## Contribution

It introduces a geometric approach to the composition operator for credal sets, improving computational efficiency and understanding.

## Key findings

- Polyhedral geometry methods facilitate credal set composition.
- Enhanced computational techniques for multidimensional credal models.
- Potential applications in uncertainty reasoning systems.

## Abstract

Recently introduced composition operator for credal sets is an analogy of such operators in probability, possibility, evidence and valuation-based systems theories. It was designed to construct multidimensional models (in the framework of credal sets) from a system of low- dimensional credal sets. In this paper we study its potential from the computational point of view utilizing methods of polyhedral geometry.