The most important issue in multi-objective optimization problems is to determine the Pareto points along the Pareto frontier. If the optimization problem involves multiple conflicting objectives, the results obtained from the Pareto-optimality will have the trade-off solutions that shaping the Pareto frontier. Each of these solutions lies at the boundary of the Pareto frontier, such that the i...

Since its introduction in the mid-nineties, Dung’s theory of abstract argumentation frameworks has been influential in artificial intelligence. Dung viewed arguments as abstract entities with a binary defeat relation among them. This enabled extensive analysis of different (semantic) argument acceptance criteria. However, little attention was given to comparing such criteria in relation to the ...

A minimal requirement on allocative efficiency in the social sciences is Pareto optimality. In this paper, we identify a far-reaching structural connection between Pareto optimal and perfect partitions that has various algorithmic consequences for coalition formation. In particular, we show that computing and verifying Pareto optimal partitions in general hedonic games and B-hedonic games is in...

Most of the engineering problems are modeled as evolutionary multiobjective optimization problems, but they always ask for only one best solution, not a set of Pareto optimal solutions. The decision maker’s subjective information plays an important role in choosing the best solution from several Pareto optimal solutions. Generally, the decision-making processing is implemented after Pareto opti...

Default and non-monotonic inference rule* are not really epistemological statements, but are instead desires or preferences of the agent about the makeup of Its own mental state (cpistemic or otherwise). The fundamental relation in non-monotonic logic is not so mum self-knowledge as self-choice or self-determination, and the fundamental justification of the interpretations and structures involv...

A non-cooperative finite game of several persons is considered in the case, where payoff functions are linear. Extreme levels of independent perturbations of payoff functions parameters, which remain Nash and Pareto optimality of a situation, are specified. Necessary and sufficient conditions of such stability are stated. AMS Mathematics Subject Classification : 90C27, 90C29.

We present new necessary optimality conditions for εe–Pareto optimal solutions of constrained vector optimization problems with empty interior ordering cones. We use the dual-space approach based on advanced tools of variational analysis and generalized differentiation. It allows us not implement any scalarization technique while be able to establish necessary results for nonconvex and nonsolid...

This manuscript determines the set of Pareto optimal solutions certain multiobjective-optimization problems involving continuous linear operators defined on Banach spaces and Hilbert spaces. These multioptimization typically arise in engineering. In order to accomplish our goals, we first characterize, an abstract setting, any multiobjective optimization problem. We then provide sufficient topo...