Input terminal | Result | |
---|---|---|
Fuzzy set: "" The result of defuzzification of a fuzzy set: |
General view of the form
Command window
Output of fuzzy set
Visualization of fuzzy set
Data of fuzzy set
Control of the name of a fuzzy set and the result of defuzzification
Action of form elements
Assignment of a variable to a real number [a-z] = [0-9];
for example:
a = -0.5;
bb = 10;
i = 2.5; j = 3; k = 3.5;
Real numbers must be defined before fuzzy sets.
Assignment of a variable to a fuzzy number [A-Z] = TN([a-z], [a-z], [a-z]);
for example:
A = TN(a, b, c);
FC = TN(i, j, k);
BB = TN(xx, yy, zz);
TN means triangular number.
Addition of fuzzy sets [A-Z] = TA([A-Z], [A-Z]);
for example:
a=3; b=4; c=5;
i=1; j=2; k=3;
A=TN(a,b,c);
B=TN(i,j,k);
C=TA(A,B);
Result
Subtraction of fuzzy sets [A-Z] = TS([A-Z], [A-Z]);
for example:
a=3; b=4; c=5;
i=1; j=2; k=3;
A=TN(a,b,c);
B=TN(i,j,k);
C=TS(A,B);
Result
Multiplication of fuzzy sets [A-Z] = TM([A-Z], [A-Z]);
for example:
a=3; b=4; c=5;
i=1; j=2; k=3;
A=TN(a,b,c);
B=TN(i,j,k);
C=TM(A,B);
Result
Division of fuzzy sets [A-Z] = TD([A-Z], [A-Z]);
for example:
a=3; b=4; c=5;
i=1; j=2; k=3;
A=TN(a,b,c);
B=TN(i,j,k);
C=TD(A,B);
Result
Raising to a power of a fuzzy set [A-Z] = TP([A-Z], [a-z]);
for example:
a=3; b=4; c=5; j=2;
A=TN(a,b,c);
C=TP(A,j);
Result
Square root fuzzy set [A-Z] = TP([A-Z], [a-z]);
for example:
a=3; b=4; c=5; j=0.5;
A=TN(a,b,c);
C=TP(A,j);
Result
Determine the breakeven point:
The variation is 10%.
Fixed costs is from $ 108000 to $ 132000 and the most probably $ 120000
Price per unit is from $ 3,6 to $ 4,4 and the most probably $ 4
Variable costs per unit is from $ 1,44 to $ 1,76 and the most probably $ 1,6
Price minus variable costs is called contribution margin (A).
The data is tabulated.
Element |
Symbol |
the least likely |
most probably |
the least likely |
Fixed costs |
FC |
108000 |
120000 |
132000 |
Price per unit |
PU |
3.6 |
4 |
4.4 |
Variable costs per
unit |
VCU |
1.44 |
1.6 |
1.76 |
The breakeven point would be $ 120000/($ 4 - $ 1.6) = 50000 units.
But using our service we will get more data.
a = 108000; b = 120000; c = 132000;
i = 3.6; j = 4; k = 4.4;
x = 1.44; y = 1.6; z = 1.76;
FC = TN(a,b,c);
PU = TN(i,j,k);
VCU = TN(x,y,z);
A = TS(PU,VCU);
BP = TD(FC,A);
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