The problem of optimizing (finding the maximin of) the difference between the entropy functions of two n-dimensional vectors under special restrictions on their components is solved. This optimum gives the main term of the asymptotics for the ε-entropy of an ellipsoid in a Hamming space as the dimension of the space grows.

A new multi-objective particle swarm optimization algorithm is presented. The proposed multi-objective particle swarm optimization algorithm is based on a MaxiMin technique previously proposed for a multi-objective genetic algorithm. The technique is applied to optimize a benchmark function set and to the design of PID controllers regarding the objectives of set-point tracking and output distur...

This paper considers to locate multiple new uncapacitated facilities on a plane bounded by a convex polygon under minisum, maximin and minimax criteria to meet fuzzy demands of customers. Some fuzzy programming models are initiated for this problem, where Euclidean distances are assumed as the scenario. And a hybrid intelligent algorithm is designed for solving the proposed models.

Network data envelopment analysis (NDEA), one of the most important branches recent DEA developments, has been developed for examining decision making units (DMUs) a system with complex and internal component divisions. In this study we apply maximin strategy to network at two levels. At individual DMU level, evaluate system’s performance by maximizing minimum divisions efficiencies, which is b...

We study the problem of an auctioneer who wants to maximize her profits. In our model, there are n buyers with private valuations drawn from independent distributions F1, ..., Fn. When these distributions are known to the seller, Myerson’s optimal auction [21] is a well known mechanism that maximizes revenue. However, in many cases it is too strong to assume that the seller knows these distribu...

Abstract Balancing multiple competing and conflicting objectives is an essential task for any artificial intelligence tasked with satisfying human values or preferences. Conflict arises both from misalignment between individuals values, but also value systems held by a single human. Starting principle of loss-aversion, we designed set soft maximin function approaches to multi-objective decision...