Math Problem Statement
Solution
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Math Problem Analysis
Mathematical Concepts
Fuzzy Set Theory
Union of Sets
Intersection of Sets
Set Complements
Formulas
μA(x) = x/(x+1)
μB(x) = 1/(x²+10)
μC(x) = 1/10^x
Union: μA∪B(x) = max(μA(x), μB(x))
Intersection: μB∩C(x) = min(μB(x), μC(x))
Complement: μC̅(x) = 1 - μC(x)
Complement: μB̅(x) = 1 - μB(x)
Theorems
Fuzzy Union: max(μA(x), μB(x))
Fuzzy Intersection: min(μB(x), μC(x))
Fuzzy Complement: 1 - μ(x)
Suitable Grade Level
University/Advanced
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