Systems Engineering Assignment #3 Solution

1. [4 marks] Classify the following as fuzzy relations or relations:


Classification {relation, fuzzy relation}


student – grade

inflation level  - interest rate

phone brand – phone price

apple color – apple ripeness

salary – age

programming language – programming effort

husband – wife

season – temperature




Show another example of each (1 relation and 1 fuzzy relation).




2. [6 marks] Let
R=  0.5
0.3

0.7
0.8






0.2

0.3






S= 0.4
0.7


0.7
0.8


0.5
0.2

be matrix representations of binary fuzzy relations. Calculate the following max-min compositions:

R S,R S,S
T
R
T