Example of the Calculation of the Fuzzy Sugeno Method

Fuzzy (Sugeno Method)

Example of the Sugeno Method

Statement

A canned food company will produce ABC food. From the last 1 month's data, the biggest demand is up to 5000 packs/day, and the smallest demand is up to 1000 packs/day. Inventory of goods in the warehouse is up to 600 packs/day at most, and at least up to 100 packs/day. With all the limitations, until now, the company has only been able to produce a maximum of 7,000 packs of goods/day, and for the sake of machine and human resource efficiency, it is hoped that the company will produce at least 2,000 packs per day.

 

 

Rule

If the company's production process uses 4 rules as follows:

1.     Rule 1

IF demand DOWN and supply LOTS THEN production of goods = demand - supply

2.     Rule 2

IF demand DOWN and supply LESS THEN production of goods = demand

3.     Rule 3

IF demand goes UP and supply is LOTS THEN production of goods = demand

4.     Rule 4

IF demand is UP and supply is SLOW THEN production of goods = 1.25*demand - supply

 

 

Question

·       How many packages of food type ABC should be produced, if the number of requests is 

3,500 packages, and the inventory in the warehouse is still 300 packages? (Use the LINEAR 

membership function)

 

 

Answer

·       There are 3 variables used: DEMAND, SUPPLY, and PRODUCTION

1. DEMAND: 1000 – 5000, x = 3500

2. INVENTORY: 100 - 600, y = 300

3. PRODUCTION: 2000 – 7000, z = ?

·       DEMAND, consists of 2 fuzzy sets: DOWN and UP

 

·       The formula to use :

·       The membership value for the DEMAND value = 3500

            x = 3500

 

·       INVENTORY, consists of 2 fuzzy sets: LITTLE and LOTS

·       Formula to be used:
             y = 300



·       PRODUCTION, does not have a fuzzy set.
·       Demand value = 3500             Total supply = 300

Value α- predicate and Z of each rule
Rule 1




·       Calculating final Z by averaging all weighted Z's:




Results

So, the number of ABC type foods that must be produced is 3633 packages.