A new interesting methodology for multi-objective optimization?
Could any expert try to examine the new interesting methodology for multi-objective optimization?
A brand new conception of preferable probability and its evaluation were created, the book was entitled "Probability - based multi - objective optimization for material selection", and published by Springer, which opens a new way for multi-objective orthogonal experimental design, uniform experimental design, respose surface design, and robust design, etc.
Evolutionary Algorithms (EA): Evolutionary algorithms (EA) are a family of optimization algorithms that are inspired by the principles of natural evolution. These algorithms are widely used in multi-objective optimization because they can handle multiple objectives and constraints and can find a set of Pareto-optimal solutions that trade-off between the objectives.
Particle Swarm Optimization (PSO): Particle Swarm Optimization (PSO) is a population-based optimization algorithm that is inspired by the social behavior of birds and fish. PSO has been applied to multi-objective optimization problems, and it has been shown to be effective in finding Pareto-optimal solutions.
Multi-objective Artificial Bee Colony (MOABC): MOABC is a multi-objective optimization algorithm inspired by the foraging behavior of honeybees. MOABC has been applied to various multi-objective optimization problems and has been found to be efficient in finding the Pareto-optimal solutions
Decomposition-based Multi-objective Optimization Algorithms (MOEA/D): Decomposition-based multi-objective optimization algorithms (MOEA/D) decompose the multi-objective problem into a set of scalar subproblems, then solve them by using a scalar optimization algorithm. MOEA/D has been found to be effective in solving multi-objective problems with high dimensionality and/or large numbers of objectives.
Deep reinforcement learning (DRL) : DRL is a category of machine learning algorithm that allows the agent to learn by interacting with the environment and using the rewards as feedback. This approach has been used to optimize the decision-making process in multi-objective problems.
I copy from your question : " It is a rational approch without personal or other subjective coefficient." Your suggestion is, that you do not need a personal choice. The suggestion is, that you can do without personal choice .This is only possible, when you would like to have all the Pareto optimal solutions, and even that is debatable : almost every optimization problem also includes subjective choices! In case you would like to pick one solution from the Pareto optimal surface you need again to make a choice!
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