We consider a Bayesian ranking and selection problem with independent normal rewards and a correlated multivariate normal belief on the mean values of these rewards. Because this formulation of the ranking and selection problem models dependence between alternatives’ mean values, algorithms may utilize this dependence to perform efficiently even when the number of alternatives is very large. We...

Reasoning about agent preferences on a set of alternatives, and the aggregation of such preferences into some social ranking is a fundamental issue in reasoning about uncertainty and multi-agent systems. When the set of agents and the set of alternatives coincide, we get the so-called reputation systems setting. Famous types of reputation systems include page ranking in the context of search en...

Assignment Problem (AP) is a very well-known and also useful decision making problem in real life situations. It becomes more effective when different criteria are added. To solve Multi-Criteria Assignment Problem (MCAP), the different criteria have been considered as neutrosophic elements because Neutrosophic Set Theory (NST) is a generalization of the classical sets, conventional fuzzy sets, ...

The selection of students is a complex decision making process, in which multiple selection criteria often need to be considered and where subjectiveness and imprecision are usually present, resulting that fuzzy and imprecise data should be used. This paper formulates the student selection process as a multicriteria decision analysis problem, concretely as a ranking problem, by using the ELECTR...

In multi-criteria decision making the decision maker need to assign weights to criteria for evaluation of alternatives, but decision makers usually find it difficult to assign precise weights to several criteria. On the other hand, decision makers may readily provide a number of preferences regarding the relative importance between two disjoint subsets of criteria. We extend a procedure by L. V...

This study describes an application of the multicriteria single price model (Ballestero) to the ranking of alternatives. By a generalization of the original model, the equilibrium set of alternatives can be characterized from the viewpoints, respectively, of the demander and the supplier, and from that the efficiency index can be calculated. We demonstrate how, in a state of equilibrium, the tw...

Voters determine their preferences over alternatives based on cases (or arguments) that are raised in the public debate. Each voter is characterized by a matrix, measuring how much support each case lends to each alternative, and her ranking is additive in cases. We show that the majority vote in such a society can be any function from sets of cases to binary relations over alternatives. A simi...

In a competitive environment, a stakeholder needs to be aware of the relative position of the alternative (for example, projects or products) in relation to those of their competitors, often accomplished through a comparison of alternatives. To demonstrate, a company knowing the chances of success of its proposed environmental project (Lahdelma, Salminen, & Hokkanen, 2000) and a manufacturer kn...

The river ranking problem is a strategic issue and has significant impact on the efficiency of a river system. On the other hand, the river ranking among many alternatives presents a multi criteria decision making (MCDM) problem. Hence fuzzy set theory can be applied. Fuzzy Analytic Hierarchy process (FAHP) technique is used to rank alternatives to find the efficient use of the river system. Fu...

We consider a voting scenario where agents have opinions that are estimates of an underlying common ground truth ranking of the available alternatives, and each agent is asked to approve a set with her most preferred alternatives. We assume that estimates are implicitly formed using the well-known Mallows model for generating random rankings. We show that k-approval voting — where all agents ar...