Fuzzy rationality as a basis for group decision making

Abstract

The author deals with the group decision-making problem, assuming that each individual defines an opinion through fuzzy binary preference relations, in parallel to the classical approach described by K.J. Arrow (1951, 1964). In particular, it is postulated that the main reason for the discouraging impossibility theorems is neither in the domain of admissible preferences nor in the concept of solution, but in the underlying idea of rationality under all crisp approaches. Noncomplete irrational aggregations are possible under a fuzzy approach, so that Arrow's classical theorem should be understood just as an impossibility of getting complete rational aggregations