ÐThe coterie join operation proposed by Neilsen and Mizuno produces, from a k-coterie and a coterie, a new k-coterie. For the coterie join operation, this paper first shows 1) a necessary and sufficient condition to produce a nondominated k-coterie (more accurately, a nondominated k-semicoterie satisfying Nonintersection Property) and 2) a sufficient condition to produce a k-coterie with higher...

Uncertainty is a daily presence in the real world. It affects our decision making and may have influence on cooperation. Often uncertainty is so severe that we can only predict some upper and lower bounds for the outcome of our actions, i.e., payoffs lie in some intervals. A suitable game theoretic model to support decision making in collaborative situations with interval data is that of cooper...

This paper presents an application of an evolutionary optimization algorithm for multiobjective analysis for reservoir operations and planning. A multiobjective particle swarm optimization (MOPSO) algorithm is used to find nondominated solutions with four objectives: (i) maximize annual firm water supply; (ii) maximize annual firm energy production; (iii) minimize flood risk; and (iv) maximize ...

It is particularly challenging for evolutionary algorithms to quickly converge the Pareto front in large-scale multiobjective optimization. To tackle this problem, article proposes a algorithm assisted by some selected individuals generated directed sampling (DS). At each generation, set of closer ideal point chosen performing DS decision space, and those nondominated ones sampled solutions are...

Given an MOLP with fuzzy coefficients, this study proposed a solution procedure to find the exact solution-mix for any α -leveled satisfaction, which is in the form of an interval-valued problem. By incorporating the perturbation on weights and the degrees of possibility of the profits and resources, a multiparametric model can be solve by using intra-parametric analysis for the efficient contr...

We present a framework for inverse optimization in a Markowitz portfolio model that is extended to include a third criterion. The third criterion causes the traditional nondominated frontier to become a surface. Until recently, it had not been possible to compute such a surface. But by using a new method that is able to generate the nondominated surfaces of tri-criterion portfolio selection pro...

Within the past ten years, more emphasis has been placed on generating discrete representations of the nondominated set which are truly representative of the nondominated set as a whole. This paper reviews measures for assessing the quality of discrete representations as well as exact solution methods that attempt to produce representations satisfying certain quality criteria. The measures are ...

Cooperative caching and relaying content in ISPs can decrease the bandwidth costs and distribution time. The relay resources installed at ISP are limited and the upload rates of relay servers are various. After formulating the optimization problem, we design a Nondominated Sorting Bit matrix Genetic Algorithm (NSBGA) to solve it. Constraint-satisfied population is initialized according to resou...

In this study, a hybrid approach combining trust region (TR) algorithm and particle swarm optimization (PSO) is proposed to solve multi-objective optimization problems (MOOPs). The proposed approach integrates the merits of both TR and PSO. Firstly, the MOOP converting by weighted method to a single objective optimization problem (SOOP) and some of the points in the search space are generated. ...

Software dependability modelling involves simultaneous consideration of several incompatible and often conflicting objectives, while hypervolume-based multiobjective evolutionary algorithm (MOEA) has been shown to produce better results for multi-objective problem in practice. A frame of reliability model optimization with hypervolume based MOEA is presented. Focusing on the key issue of hyperv...