Second-Order Uncertainty as a Bridge Between Probabilistic and Fuzzy Approaches

Authors

Hung T. Nguyen
Vladik Kreinovich, The University of Texas at El PasoFollow
Luc Longpre, The University of Texas at El PasoFollow

Publication Date

7-2001

Comments

UTEP-CS-01-23.

Published in Proceedings of the 2nd Conference of the European Society for Fuzzy Logic and Technology EUSFLAT'01, Leicester, England, September 5-7, 2001, pp. 410-413.

Abstract

On the example of physics, we show that the traditional one-level description is not completely adequate. For a more adequate structure, a hierarchical description of uncertainty is necessary, which supplements the more traditional first-order uncertainty with second-order, third-order and more sophisticated models. In particular, the second-order approach seems to provide a bridge between probabilistic and fuzzy approaches to uncertainty.