Fundamentals of Mathematical Theory of Emotional Robots

TL;DR

This work develops a mathematical framework for understanding and modeling emotions, education, and group dynamics in intelligent robots, including decision-making and emotional interactions within groups.

Contribution

It introduces formal mathematical models of robot emotions, education, and group behavior, including theorems and algorithms for emotional contact and decision-making.

Findings

Theorems on fellowship and conflicts in robot groups

Models of emotional memory and behavior in robots

Algorithms for emotional contacts and decision-making

Abstract

In this book we introduce a mathematically formalized concept of emotion, robot's education and other psychological parameters of intelligent robots. We also introduce unitless coefficients characterizing an emotional memory of a robot. Besides, the effect of a robot's memory upon its emotional behavior is studied, and theorems defining fellowship and conflicts in groups of robots are proved. Also unitless parameters describing emotional states of those groups are introduced, and a rule of making alternative (binary) decisions based on emotional selection is given. We introduce a concept of equivalent educational process for robots and a concept of efficiency coefficient of an educational process, and suggest an algorithm of emotional contacts within a group of robots. And generally, we present and describe a model of a virtual reality with emotional robots. The book is meant for mathematical modeling specialists and emotional robot software developers.