Abstract Many real-world multi-objective optimization problems inherently have multiple multi-modal solutions and it is in fact very important to capture as many of these possible. Several crowding distance methods been developed the past few years approximate optimal solution search space. In this paper, we discuss some shortcomings distance-based such inaccurate estimates density neighboring ...

in this paper we investigate multi-objective integer linear programming (moilp) problems with unbounded feasible region and introduce recession direction for moilp problems. then we present necessary and sufficient conditions to have unbounded feasible region and infinite optimal values for objective functions of moilp problems. finally we present some examples with unbounded feasible region and fi...

In the present research, a multi-objective model is proposed, which considers equity among the citizens in addition to the cost criterion. Then, the model will be solved using Reservation Level Tchebycheff Procedure (RLTP), which is one of the interactive multi-objective decision-making techniques. Subsequently, the obtained results will be compared with those of the single-objective models to ...

In the field of complex problem optimization with metaheuristics, semantics has been used for modeling different aspects, such as: characterization, parameters, decision-maker’s preferences, or algorithms. However, there is a lack approaches where ontologies are applied in direct way into process, aim enhancing it by allowing systematic incorporation additional domain knowledge. This due to hig...

Blending is a classical and well-known optimization problem that has been applied in the food, steel, composite material industries. However, tea blending more complicated than general problems due to variety of products, processes, sources raw materials semi-products. So, this research, fuzzy multi-objective model for was proposed minimize total production cost deviation quality target score; ...