Pseudo-Analysis as a Tool of Information Processing

Abstract

The theory of the pseudo-analysis is based on a special real semiring (called also tropical semiring). This theory enables a unified approach to three important problems as nonlinearity, uncertainty and optimization, with many applications. There are presented applications in fuzzy logics and fuzzy sets, utility theory, Cumulative Prospect theory of partial differential equations.

Keywords

• pseudo-analysis
• utility theory
• fuzzy logics
• fuzzy sets
• cumulative prospect theory