Fuzzy Rankings: Properties and Applications
  In practice, a ranking of objects with respect to given set of criteria is of
considerable importance. However, due to lack of knowledge, information of time
pressure, decision makers might not be able to provide a (crisp) ranking of
objects from the top to the bottom. Instead, some objects might be ranked
equally, or better than other objects only to some degree. In such cases, a
generalization of crisp rankings to fuzzy rankings can be more useful. The aim
of the article is to introduce the notion of a fuzzy ranking and to discuss its
several properties, namely orderings, similarity and indecisiveness. The
proposed approach can be used both for group decision making or multiple
criteria decision making when uncertainty is involved.
