How can diversity be measured? What does it mean to value biodiversity? Can we assist Noah in constructing his preferences? To address these questions, we propose a multi-attribute approach under which the diversity of a set of species is the sum of the values of all attributes possessed by some...

A number of recent articles argue that the 'problem of Bachet' - the problem of finding the most efficient set of weights - can shed light on the problem of finding the optimal denominational structure of a series of coins and bank notes. This note argues that the two problems differ in nature,...

This book presents a clear, systematic treatment of convergence theorems of set-valued random variables (random sets) and fuzzy set-valued random variables (random fuzzy sets). Topics such as strong laws of large numbers and central limit theorems, including new results in connection with the...