Multiobjective optimization problems have been widely addressed using evolutionary computation techniques. However, when dealing with more than three conflicting objectives (the so-called many-objective problems), the performance of such approaches deteriorates. The problem lies in the inability of Pareto dominance to provide an effective discrimination. Alternative ranking methods have been su...

We set up a rich bilateral bargaining model with four salient points (disagreement point, ideal point, reference point, and tempered aspirations point), where the disagreement point and the utility possibilities frontier are endogenously determined. This model allows us to compare two bargaining solutions that use reference points, the Gupta-Livne solution and the tempered aspirations solution,...

increasing global notices in environmental protection, green supply chain management (gscm) has received much attention by researchers and managers more than the past. commonly, firms have considered cost criteria to select their suppliers. despite the fact that there are various papers considering the formal criteria in supplier selection, there is a few limited numbers considering the environ...

The method Promethee II has produced attractive results in the choice of the most satisfactory optimal solution of convex multiobjective problems. However, according to the current literature, it may not work properly with nonconvex problems. A modified version of this method, called multiplicative Promethee, is proposed in this paper. Both versions are applied to some analytical problems, prev...

Nondominated sorting, also called Pareto Depth Analysis (PDA), is widely used in multi-objective optimization and has recently found important applications in multicriteria anomaly detection. Recently, a partial differential equation (PDE) continuum limit was discovered for nondominated sorting leading to a very fast approximate sorting algorithm called PDE -based ranking. We propose in this pa...

Prominent bargaining solutions are disagreement-point monotonic. These solutions’ disagreement-point monotonicity ranking, on the other hand, is impossible to establish. In a large class of bargaining problems, however, a ranking of the relative disagreement-point monotonicity of these prominent bargaining solutions can be obtained. Using the ‘Constant Elasticity of Substitution’ class of barga...

Joseph Heath1 The Pareto principle states that if a proposed change in the condition of society makes at least one person better off, and does not make anyone else worse off, then that change should be regarded as an improvement. This principle forms the conceptual core of modern welfare economics, and exercises enormous influence in contemporary discussions of justice and equality. It does, ho...

There have been signi®cant advances in the theory of goal programming (GP) in recent years, particularly in the area of intelligent modelling and solution analysis. The intention of this paper is to provide an overview of these developments, to detail and assess the current state-of-the-art in the subject, and to highlight areas which seem promising for future research. Modelling techniques suc...