Weimin Dong

TL;DR: The vertex method can avoid abnormality due to the discretization technique on the variables domain and the widening of the resulting function value set due to multi-occurrence of variables in the functional expression by conventional interval analysis methods.

TL;DR: A computational algorithm based on the α-cut representation of fuzzy sets and interval analysis is described which provides a discrete but exact solution to extended algebraic operations in a very efficient and simple manner.

TL;DR: In this article, a methodology for rational pricing of catastrophe insurance is described, which has two components: a solvency-and stability-based pricing framework, and an engine to quantify the loss variability that drives solvencies and stability.

TL;DR: The interval analysis method is introduced to process interval information with interpretation from Dempster and Shafer's evidence theory and the Vertex Method is discussed to handle fuzzy information which is a generalization of interval information.

TL;DR: It is suggested that when the available information is too crude to support a random definition, the interval or fuzzy model should be used to take advantage of the expediency with which interval and fuzzy uncertainties can be propagated and processed.