A general class of convexification transformations is proposed to convexify the noninferior frontier of a multiobjective program. We prove that under certain assumptions the noninferior frontier could be convexified completely or partly after transformation and then weighting method can be applied to identify the noninferior solutions. Numerical experiments are given to vindicate our results.

This paper studies an extension of biorders that has a “frontier” between the relation and the absence of relation. This extension is motivated by a conjoint measurement problem consisting in the additive representation of ordered coverings defined on product sets of two components. We also investigate interval orders and semiorders with frontier.

The paper analyzes the extension of frontier search to the multiobjective framework. A frontier multiobjective A* search algorithm is developed, some formal properties are presented, and its performance is compared to those of other multiobjective search algorithms. The new algorithm is adequate for both monotone and non-monotone heuristics.

There is a gap in the geographical/geopolitical literature about the process that motivates humans to conquer a boundless, timeless and invaluable wilderness in the name of plural ecologies to serve their own political interests in control and territory building by means of ‘green gerrymandering’. The ecological frontier (or eco-frontier), a neologism produced by a contemporary greened civil so...

We describe techniques for visualizing the Pareto optimal set that can be used if the multiobjective optimization problem considered has more than two objective functions. The techniques discussed can be applied in the framework of both MCDM and EMO approaches. First, lessons learned from methods developed for biobjective problems are considered. Then, visualization techniques for convex multio...

How did the universe form? What is it made of, and how do its constituents evolve? How old is it? And, will it continue to expand? These are questions cosmologists have long sought to answer by comparing data from myriad astronomical objects to theories of the universe’s formation and evolution. But, until recently, cosmology was a data-starved science. For instance, before the 1990 launch of t...

I am sometimes surprised by how much physical space still matters in today's academic library. When asked what it is like to be a library director, the first thought that often enters my mind is how much time and effort I devote to library facilities – their design or redesign , collection storage options, public and staff work spaces, and, of course, the daily needs of building maintenance and...