Mathematical function for four corelated attributes

[medoos]

 

I have 4 attributes A,B,C,D each of them takes value between [0,1]

 

I want to make function F(A,B,C,D) such that:

 

 

• The more A and B, the more the function value is.
• The more C and D, the less the function value is.
• if C or D equals "one" the function value is zero.
• I want this function also to return value between [0,1]

How can I do that ?

 

 

 

 

 

[ecoli]

does this need to be a continuous function?

[medoos]

does this need to be a continuous function?

 

Yes please.

[mathematic]

AB(1-C)(1-D) seems to work.

[medoos]

AB(1-C)(1-D) seems to work.

 

Thanks it works but always returns small values.

How can I increase the effect of A and B ?

Edited August 26, 2012 by medoos

[mathematic]

Thanks it works but always returns small values.

How can I increase the effect of A and B ?

 

What are you looking for? Since the function is limited to [0,1] and = 1 for A=1, B=1, C=0, D=0, you need to be more specific.

[medoos]

What are you looking for? Since the function is limited to [0,1] and = 1 for A=1, B=1, C=0, D=0, you need to be more specific.

 

I want the effect of A and B to be more than the effect of C and D while having the function between [0,1]

[Bignose]

sqrt(A)*sqrt(B)*(1-C)*(1-D) may be more to your liking.

[ecoli]

or a*b*(1-c)*(1-d) ^ (a*b)

 

try plotting the output and see what you're actually trying to envision.

[medoos]

or a*b*(1-c)*(1-d) ^ (a*b)

 

try plotting the output and see what you're actually trying to envision.

 

how to plot it while i have four inputs and one output ?