Uncertain Computation-based Decision Theory

Uncertain computation is a system of computation and reasoning in which the objects of computation are not values of variables but restrictions on values of variables.

This compendium includes uncertain computation examples based on interval arithmetic, probabilistic arithmetic, fuzzy arithmetic, Z-number arithmetic, and arithmetic with geometric primitives.

The principal problem with the existing decision theories is that they do not have capabilities to deal with such environment. Up to now, no books where decision theories based on all generalizations level of information are considered. Thus, this self-containing volume intends to overcome this gap between real-world settings’ decisions and their formal analysis.

Readership: Researchers, academics, professionals and graduate students in fuzzy logic, decision sciences and mathematical economics.

Table of Contents

Chapter 1. Decision Environment
Chapter 2. Analyses Of The Existing Decision Theories
Chapter 3. Interval Computation
Chapter 4. Probabilistic Arithmetic
Chapter 5. Fuzzy Type-1 And Fuzzy Type-2 Computations
Chapter 6. Computation With Z-Numbers
Chapter 7. Computation With U-Numbers
Chapter 8. Fuzzy Geometry Based Computations
Chapter 9. Interval Granular-Based Decision Making
Chapter 10. Decision Making In Fuzzy Environment
Chapter 11. The Z-Restriction Centered Decision Theory
Chapter 12. Simulation And Applications