Interval entropy method for equality constrained multiobjective optimization problems

Based on the maximum entropy principle and the idea of penalty function, an evaluation function to solve multiobjective optimization problems with equality constraints is given. Combining with interval analysis method, we define generalized Krawczyk operator, design interval iteration with constrained functions and new region deletion test rules, present an interval algorithm for equality constrained multiobjective optimization problems, and also prove relevant properties. The theoretic analysis and numerical results indicate that the algorithm is effective and reliable.