Our goal in this talk is to present unifying concepts for both stochastic and robust optimization problems involving infinite uncertainty sets. We apply methods from vector optimization in general spaces, set-valued optimization and scalarization techniques to develop a unified characterization of different concepts of robust optimization and stochastic programming. These methods provide new in...

The concepts of well-posedness of l-set optimization problem under variable order structure are introduced, the metric characterizations and sufficient criteria of well-posedness of a l-set optimization problem are proposed, and the equivalent relations between the well-posedness of l-set optimization problem and that of a scalarization minimization problem are established. Finally, by discussi...

Web service composition combines available services to provide new functionality. The various available services have different quality-of-service (QoS) attributes. Building a QoS-optimal web service composition is a multi-criteria NP-hard problem. Most of the existing approaches reduce this problem to a single-criterion problem by aggregating different criteria into a unique global score (scal...

The macroscopic tensile plasticity of bulk metallic glasses (BMGs) is highly desirable for various engineering applications. However, upon yielding, plastic deformation of BMGs is highly localized into narrow shear bands and then leads to the "work softening" behaviors and subsequently catastrophic fracture, which is the major obstacle for their structural applications. Here we report that macr...

Surrogate-assisted multiobjective evolutionary algorithms (MOEAs) have advanced the field of computationally expensive optimization, but their progress is often restricted to low-dimensional problems. This manuscript presents a multiple classifiers-assisted algorithm based on decomposition, which adapted for high-dimensional problems in terms following two insights. Compared approximation-based...

I characterize the class of (possibly incomplete) preference relations over lotteries which can be represented by a compact set of (continuous) expected utility functions that preserve both indifferences and strict preferences. This finding contrasts with the representation theorem of Dubra, Maccheroni and Ok (2004) which typically delivers some functions which do not respect strict preferences...

We study the dynamical spontaneous scalarization of charged black hole in asymptotically anti--de Sitter spacetimes Einstein-Maxwell-scalar models. Including various nonminimal couplings between scalar field and Maxwell field, an initial scalar-free suffers tachyonic instability, both irreducible mass grow exponentially at early times saturate late times. For fractional coupling, we find that, ...

Particular couplings between a scalar field and the Gauss-Bonnet invariant lead to spontaneous scalarization of black holes. Here we continue our work on simulating this phenomenon in context binary hole systems. We consider negative coupling for which black-hole spin plays major role process. find two main phenomena: (i) dynamical descalarization, initially scalarized holes form an unscalarize...

In this paper, by virtue of separation theorems convex sets and scalarization functions, some minimax inequalities are first considered. As applications, existence vector equilibrium problems with different order structures were also obtained.