Uncertain Computation-Based Decision Theory

Nonfiction, Computers, Advanced Computing, Programming, Logic Design, Business & Finance, Management & Leadership, Decision Making & Problem Solving, Reference & Language, Reference

• Author: Rafik Aliev
• ISBN: 9789813228955
• Publisher: World Scientific Publishing Company
• Publication: December 6, 2017
• Imprint: WSPC
• Language: English

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.

Contents:

• Decision Environment
• Analysis of the Existing Decision Theories
• Interval Computation
• Probabilistic Arithmetic
• Fuzzy Type-1 and Fuzzy Type-2 Computations
• Computation with Z-Numbers
• Computation with U-Numbers
• Fuzzy Geometry Based Computations
• Interval Granular-Based Decision Making
• Decision Making in Fuzzy Environment
• The Z-Restriction Centered Decision Theory
• Simulation and Applications

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