Fuzzy logic quiz

What is the form of Fuzzy logic?

• Two valued logic

• Crisp set logic

• Many valued logic

• Binary set logic

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

• Either 0 or 1, between 0 & 1

• Between 0 & 1, either 0 or 1

• Between 0 & 1, between 0 & 1

• Either 0 or 1, either 0 or 1

The room temperature is hot. Here the hot (use of linguistic variable is used) can be represented by _______

• Fuzzy Set

• Crisp Set

• Fuzzy & Crisp Set

• None of the mentioned

Fuzzy logic is usually represented as ___________

• IF-THEN-ELSE rules

• IF-THEN rules

• Both IF-THEN-ELSE rules & IF-THEN rules

• None of the mentioned

The values of the set membership is represented by ___________

• Discrete Set

• Degree of truth

• Probabilities

• Both Degree of truth & Probabilities

Consider a fuzzy set old as defined below old={(20,0),(30,0.2),(40,0.4),(50,0.6),(60,0.8),(70,1),(80,1)}. Then the alpha-cut for alpha=0.4 for the set old will beA.{(40,0.3)}B.{50,60,70,80}C.{(20,0.1),(30,0.2)}D.{(20,0),(30,0),(40,1),(50,1),(60,1),(70,1),(80,1)}

• {(40,0.3)}

• {50,60,70,80}

• {(20,0.1),(30,0.2)}

• {(20,0),(30,0),(40,1),(50,1),(60,1),(70,1),(80,1)}

Given U = {1, 2, 3, 4, 5, 6, 7} A = {(3, 0.7), (5, 1), (6, 0.8)} then A complement will be :

• {(4, 0.7), (2, 1), (1, 0.8)}

• {(4, 0.3), (5, 0), (6, 0.2) }

• {(1, 1), (2, 1), (3, 0.3), (4, 1), (6, 0.2), (7, 1)}D.{(3, 0.3), (6.0.2)}

• {(3, 0.3), (6.0.2)}

The height h(A) of a fuzzy set A is defined as h(A) =sup A(x) where x belongs to A. Then the fuzzy set A is called normal when

• h(A)=0

• h(A)<0

• h(A)=1

• h(A)<1

What is the Fuzzy Approximation Theorem(FAT) ?

• A fuzzy system can model any continuous system

• The conversion of fuzzy logic to probability.

• A continuous system can model any fuzzy system.

• Fuzzy patches covering a series of fuzzy rules.

The region of universe that is characterized by complete membership in the set is called

• Core

• Support

• Boundary

• Fuzzy