23 Oct 2020 (Fuzzy Logic)

Consider a fuzzy set A defined on the interval X = [0, 10] of integers by the membership Junction

μA(x) = x / (x+2)

Then the α cut corresponding to α = 0.5 will be

• {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}

• {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}

• {2, 3, 4, 5, 6, 7, 8, 9, 10}

• None of the above

There are also other operators, more linguistic in nature, called __________ that can be applied to fuzzy set theory.

• Hedges

• Lingual Variable

• Fuzz Variable

• None of the mentioned

If A and B are two fuzzy sets with membership functions:

μa(χ) ={0.2,0.5.,0.6,0.1,0.9}

μb (χ)= {0.1,0.5,0.2,0.7,0.8}

then the value of μa ∩ μb will be

• {0.2,0.5,0.6,0.7,0.9}

• {0.2, 0.5,0.2, 0.1,0.8}

• {0.1, 0.5, 0.6, 0.1,0.8}

• {0.1, 0.5, 0.2, 0.1,0.8}

The truth values of traditional set theory is ____________ and that of fuzzy set is __________

• Between 0 & 1, between 0 & 1

• Either 0 or 1, between 0 & 1

• Either 0 or 1, either 0 or 1

• Between 0 & 1, either 0 or 1

8. Fuzzy Set theory defines fuzzy operators. Choose the fuzzy operators from the following.

• AND

• NOT

• OR

• All of the mentioned