Fuzzy Variables, Analogies and Soft Variables

The first part of this chapter presents the application of fuzzy variables to non-parametric problems for a static plant, analogous to those described for random and uncertain variables. In Sect. 6.1, a very short description of fuzzy variables (see e.g. [69, 71, 74, 75, 84, 103, 104]) is given in the form needed to formulate our problems and to indicate analogies for non-parametric problems based on random, uncertain and fuzzy variables. These analogies lead to a generalization in the form of soft variables and their applications to non-parametric decision problems.