3 papers
math.PR2025
Bounds for Restricted Selections of Random Sets
Arie Beresteanu, Behrooz Moosavi Rameznzadeh
We study constrained selection sets of random closed sets defined on a non-atomic probability space. Given a random interval and scalar constraints on the expectation…
econ.TH2025
Beyond Scalars: Zonotope-Valued Utility for Representation of Multidimensional Incomplete Preferences(Incomplete Version)
Behrooz Moosavi Ramezanzadeh, Arie Beresteanu
In this paper, I propose a new framework for representing multidimensional incomplete preferences through zonotope-valued utilities, addressing the shortcomings of traditional scal…
math.OC2024
Extended Set Difference : Inverse Operation of Minkowski Summation
Arie Beresteanu, Behrooz Moosavi Ramezanzadeh
This paper introduces the extended set difference, a generalization of the Hukuhara and generalized Hukuhara differences, defined for compact convex sets in . The pro…