In fuzzy optimization it is desirable that all fuzzy solutions under consideration be attainable, so that the decision maker will be able to make ‘‘a posteriori’’ decisions according to current decision environments. No additional optimization runs will be needed when the decision environment changes or when the decision maker needs to evaluate several decisions to establish the most appropriat...

During the past few decades, multi-agent optimization problems have drawn increased attention from research community. When multiple objective functions are present among agents, many works optimize sum of these functions. However, this formulation implies a decision regarding relative importance each objective: optimizing is special case multi-objective problem in which all objectives prioriti...

Federated learning has emerged as a promising, massively distributed way to train joint deep model over large amounts of edgedevices while keeping private user data strictly on device. In this work, motivated from ensuring fairness among users and robustness against malicious adversaries, we formulate federated multi-objective optimization propose new algorithm <monospace xmlns:mml="http://www....

Looking at articles or conference papers published since the turn of the century, Pareto optimization is the dominating assessment method for multi-objective nonlinear optimization problems. However, is it always the method of choice for real-world applications, where either more than four objectives have to be considered, or the same type of task is repeated again and again with only minor mod...

This paper addresses a multiple objective optimization model to determine the file allocation and query routing assignment in a distributed information system. The problem is formulated as a zero-one integer nonlinear programming problem with multiple objectives. The optimization problem under consideration is shown to be NP-hard. We adopt an iterative improvement procedure, which gives the Par...

Based on a paper from Heeren et al. this report presents a method of finding a natural deformation between two shapes with a given correspondence. It is based on minimizing an energy function derived from results of elasticity theory. Different than other algorithms this energy has only parameters with concrete physical meanings. Furthermore proper discretization methods are presented. The resu...