We are in the middle of a series of important centennials: Wolfgang Pauli in 2000, Enrico Fermi and Werner Heisenberg in 2001, and Paul Dirac in 2002. This has presented an excellent opportunity to go back and review the scientific achievements of these men. Of course, the work that they did in the 20’s, in their twenties, was their most important. But what I found more interesting was the work...

Uncertain set theory is a generalization of uncertainty theory that has become a new branch of mathematics for modeling human belief degrees. Uncertain set is a fundamental concept to describe unsharp concepts in uncertain set theory. The moments are important characteristics of an uncertain set. This paper studies the moments and central moments of uncertain set and gives some formulas to calc...

With the increasingly development of system complexity, there is a variety of indeterminacy in the practical applications of graph theory. In this paper, the uncertainty theory is applied to study the regularity of the uncertain graph. Based on the uncertainty theory, the concept of regularity index of uncertain graph and its calculation method are raised with an illustration of the calculation...

Proper characterization of uncertainty is a challenging task. Depending on the sources of uncertainty, various uncertainty modeling frameworks have been proposed and studied in the uncertainty quantification literature. This paper applies various uncertainty modeling frameworks, namely possibility theory, Dempster-Shafer theory and probability theory to isosurface extraction from uncertain scal...

Background and Objectives: Evaluating the performance of clinical units is critical for effective management of health settings. Certain assessment of clinical variables for performance analysis is not always possible, calling for use of uncertainty theory. This study aimed to develop and evaluate an integrated independent component analysis-fuzzy-data envelopment analysis approach to accurate ...

This paper explores the way in which society in general and economists in particular deal with fundamental uncertainty. It is argued that uncertainty is interdependent with the evolution of institutions and behavior, including that designed to help society cope with uncertainty. While some mainstream theory does address uncertainty, it employs a much narrower concept than fundamental uncertaint...