In this manuscript, we consider smooth multi-objective optimization problems with convex constraints. We propose an extension of a augmented Lagrangian Method from recent literature. The new algorithm is specifically designed to handle sets points and produce good approximations the whole Pareto front, as opposed original one which converges single solution. prove properties global convergence ...

With the increasing thrust-to-weight ratio of modern aeroengines and widespread adoption thin-walled casing, impact coupling vibration effect between rotor stator on critical speed, rotor–stator mode shape coordination, response characteristics whole engine have become increasingly prominent. However, vibrational design whole-engine has thus far relied human experience, revealing a need for stu...

Background: In the literature, there exists several approaches to address multi-objective linear fractional programming problem (MOLFPP). However, is a drawback these methods.Aim: This paper presents an efficient method treating MOLFPP.Methodology: To construct our approach,the membership functions of objectives, suitable non-linear variable transformations, and max-min technique are used.Resul...