Representing states with numerical values: Markov system

Having learned about fuzzy logic, it may do us well to mix some approaches and probably extend the functionality with finite-state machines. However, fuzzy logic doesn't work directly with values—they have to be defuzzified before they have a meaning within its scope. A Markov chain is a mathematical system that allows us to develop a decision-making system that can be seen as a fuzzy state machine.

Getting ready

This recipe uses the matrix and vector classes that come with Unity to illustrate the theoretical approach and make a working example, but it can be improved with our own matrix and vector classes with the proper implementation of the required member functions, such as vector-matrix multiplication.

How to do it...

1. Create the parent class for handling transitions:

   using UnityEngine;
   using System.Collections;
   
   public class MarkovTransition : MonoBehaviour
   {
       public Matrix4x4 matrix;
       public MonoBehaviour action;
   }

2. Implement...