# Set optimization - a rather short introduction

arXiv: https://arxiv.org/abs/1404.5928 · HTML: https://mlsanity.com/paper/1404.5928/

## Key facts

- Cited by 3 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 23 Apr 2014.

## Built on by (most cited first, 3 of 3)

- [Multi-Weight Ranking for Multi-Criteria Decision Making](https://mlsanity.com/paper/2312.03006/) (2023)
- [Vector Optimization with Gaussian Process Bandits](https://mlsanity.com/paper/2412.02484/) (2024)
- [Stochastic set-valued optimization and its application to robust learning](https://mlsanity.com/paper/2603.17691/) (2026)

## Abstract (arXiv)

Recent developments in set optimization are surveyed and extended including various set relations as well as fundamental constructions of a convex analysis for set- and vector-valued functions, and duality for set optimization problems. Extensive sections with bibliographical comments summarize the state of the art. Applications to vector optimization and financial risk measures are discussed along with algorithmic approaches to set optimization problems.