For the problem of selecting p items with uncertain (interval) objective function coefficients so as to maximize total profit (maximization over uniform matroid) we introduce the r-restricted robust deviation criterion or the r-robust solution for short. We seek solutions that minimize the r-restricted robust deviation. This new criterion increases the modeling power of the robust deviation (mi...

In multiple criteria decision aid, preference disaggregation techniques are used to facilitate the construction of decision models, through regression-based approaches that enable the elicitation of preferential information from a representative set of decision examples provided by a decision-maker. The robustness of such approaches and their results is an important feature for their successful...

In many situations, a decision-maker is interested in assessing a set of alternatives characterized simultaneously by multiple criteria (attributes), and defining a ranking able to synthesize the global characteristics of each alternative, for example, from the best to the worst. This is the case of the assessment of several projects through attributes such as cost, profitability, among others....

The Michaelis-Menten model has and continues to be one of the most widely used models in many diverse fields. In the biomedical sciences, the model continues to be ubiquitous in biochemistry, enzyme kinetics studies, nutrition science and in the pharmaceutical sciences. Despite its wide ranging applications across disciplines, design issues for this model are given short shrift. This paper focu...

We present a method to include robustness in a multi-criteria optimization (MCO) framework for intensity-modulated proton therapy (IMPT). The approach allows one to simultaneously explore the trade-off between different objectives as well as the trade-off between robustness and nominal plan quality. In MCO, a database of plans each emphasizing different treatment planning objectives, is pre-com...

This paper focuses on the robustness problem of full implication triple implication inference method for fuzzy reasoning. First of all, based on strong regular implication, the weighted logic metric for measuring distance between two fuzzy sets is proposed. Besides, under this metric, some robustness results of the triple implication method are obtained, which demonstrates that the triple impli...

Technical restrictions and challenging details let railway traffic become one of the most complex transportation systems. Routing trains in a conflictfree way through a track network is one of the basic scheduling problems for any railway company, also known as the train timetabling problem (TTP). This article focuses on a robust extension of the TTP, which typically consists in finding a confl...

Robustness analysis and visualization are two of key concepts of multi-criteria decision support. They enable the decision-maker to improve his understanding of both the model and the problem domain. A class of original mathematical optimization based robustness metrics is hence defined in this paper. In addition, several efficient existing techniques that have been successfully used in various...

technology selection is an important part of management of technology. recently karsak and ahiska (2005) proposed a novel common weight multiple criteria decision making (mcdm) methodology for selection of the best advanced manufacturing technology (amt) candidates based on a number of attributes. however, amin et al. (2006), by means of a numerical example demonstrated the convergence difficul...

A guiding principle in the design of structures is to maximize the reliability of a structural system (that is, to minimize the probability of failure, or perhaps more generally to minimize the risk associated with potential failures). Robustness has been recognized as a valuable property to incorporate into systems, in support of that principle. A discussion of possible methods for quantifying...