M-type smoothing splines are a broad class of spline estimators that include the popular least-squares but also less susceptible to outlying observations and model misspecification. However, available asymptotic theory only covers based on smooth objective functions consequently leaves out frequently used resistant such as quantile Huber-type splines. We provide general treatment in this paper ...

In a multi-objective optimization process, several goals are traditionally combined into single fitness function. such cases, the choice of objective function is critical, as it should accurately represent desired goals. Here, we introduce new class functions with non-linearity and switching behavior, also provide method for engineering. Notably, proposed versatile forms growth during optimizat...

In this paper multi-objective genetic algorithms were employed for Pareto approach optimization of turboprop engines. The considered objective functions are used to maximize the specific thrust, propulsive efficiency, thermal efficiency, propeller efficiency and minimize the thrust specific fuel consumption. These objectives are usually conflicting with each other. The design variables consist ...

The main objective of this work is to develop a pair of Lommel matrix functions suggested by the hypergeometric matrix functions and some of their properties are studied. Some properties of the hypergeometric and Bessel matrix functions are obtained.

The reconfiguration is an operation process used for optimization with specific objectives by means of changing the status of switches in a distribution network. This paper presents an algorithm for network recon-figuration based on the heuristic rules and fuzzy multi objective approach where each objective is normalized with inspiration from fuzzy set to cause optimization more flexible and fo...