Integral, Measure, and Ordering

This book is concerned with three main themes: the first deals with ordering structures such as Riesz spaces and lattice ordered groups and their relation to measure and integration theory. The second theme is the idea of fuzzy sets, which is quite novel, particularly in measure theory. The third subject is the construction of models of quantum mechanical systems, mainly based on fuzzy sets. In this way some recent results are systematically presented. This volume should be suitable not only for specialists in measure and integration theory, ordered spaces, probability theory and ergodic theory, but also for students of theoretical and applied mathematics.