#### 9 November 2015
# Soft Computing - Matlab lesson
## Lake level problem

The level of the water nees to be periodically rised and lowered to kill mosquito eggs.

*Measuring* the __height of the water__

Done by measuring the level against a wall,

The level can vary in a range of -2, +2 meters, [m]

### Membership functions

We have to decide:
- The minimum value
- The maximum value
- The shape of the function.

Our three __labels__ will be
- below
- ze(ro)
- above

For the __below__ membership function we choose a *trapezoid* function

For the __zero__ MF we choose a *triangular* function

For the __above__ MF we choose a *trapezoid* function

The two trapezoid functions have zero value in the center of the zero function.

### Output functions

__singletons__ aren't provided by matlab, instead we need to create a very narrow triangle.

The output function is determined by 5 sigletons at each laber:
- zero
- few
- half
- lot
- full

### Rules

We have to add rules as following:

Height|Request|Output
---|:---:|:---:
below|zero|zero
below|half|few
below|max|few
below|few|few
below|lot|few
zero|zero|zero
zero|half|half
zero|max|max
zero|few|few
zero|lot|lot
zero|zero|few
zero|half|lot
zero|max|max
zero|few|half
zero|lot|max

### Adding information

If we have weather forecast available as another input  
We can add another membership function.

#### Additional Rules

Rain|Output
---|---
Zero|Few
Few|Few
Half|Half
A-Lot|A-Lot
Max|Max