Random approximations in multiobjective optimization

Multiobjective Optimization Criteria for Linear Structures Subject to Random Vibrations

A structural optimization criterion for linear mechanical systems subject to random vibrations is presented for supporting engineer’s design. It is based on a multiobjective approach whose Objective Function (OF) vector is done by stochastic reliability performance and structural cost indices. The first ones are structural reliabilities, and are evaluated for one or more failure types; they are...

Interactive Multiobjective Fuzzy Random Programming through Level Set Optimization

This paper focuses on multiobjective linear programming problems involving fuzzy random variable coefficients. A new decision making model and Pareto optimal solution concept are proposed using α-level cuts of membership function. It is shown that the problem including both randomness and fuzziness is equivalently transformed into a deterministic problem. An interactive algorithm is proposed in...

Stochastic Programming Approach to Multiobjective Optimization Problems with Random Element

Learning in Multiobjective Optimization

Our vision is for a seminar that encourages the free exchange of ideas around the organizing subject of learning in MCDM and multiobjective optimization. The following programme provides a skeleton of activities we propose. Participants should suggest amendments to this programme as the week progresses. We encourage the spontaneous formation of working and discussion groups among the participan...

Multiobjective Optimization

return on his or her investment with a small risk of incurring a loss; an oncologist prescribes radiotherapy to a cancer patient so as to destroy the tumor without causing damage to healthy organs; an airline manager constructs schedules that incur small salary costs and that ensure smooth operation even in the case of disruptions. All three decision makers (DMs) are in a similar situation—they...