B.TECH - Semester 5 fuzzy systems and applications Question Paper 2021 (dec)
Practice authentic previous year university questions for better exam preparation.
Sample Questions
- Write down the features of membership functions.
- Obtain the height of the fuzzy set $A=0.2 / 0.4+0.8 / 0.6+0.6 / 1$. Is set $A$ normal?
- Prove De Morgan's rule for Fuzzy sets.
- What is meant by Type-2 fuzzy set? Give an example.
- Explain the fuzzy extension principle with the help of an example.
- Determine the domain and range of the fuzzy relation $R(x, y)=\left[\begin{array}{ccc}.2 & .1 & .6 \\ .7 & .3 & .6 \\ .5 & .4 & .5\end{array}\right]$.
- With the help of examples, define Reflexivity, Symmetry of a binary relation.
- Explain deffuzzification by centroid method.
- Compare and contrast fuzzy logic controller with conventional controller.
- Write short note on Fuzzy air condition controller. $$ (10 \times 4=40 \text { Marks) } $$ Answer any two questions from each Module.
- (a) Define dilation, concentration and contrast intensification of fuzzy sets.
- (b) Prove that for fuzzy sets $A$ and $B$
- (i) $\operatorname{INT}(A \cup B)=I N T(A) \cup I N T(B)$ (ii) $\operatorname{INT}(A \cap B)=\operatorname{INT}(A) \cap \operatorname{INT}(B)$ (iii) $\operatorname{INT}(A B)=\operatorname{INT}(A) \operatorname{INT}(B)$ (iv) $\operatorname{CON}(A \cup...
- (v) $\operatorname{CON}(A \cap B)=\operatorname{CON}(A) \cap \operatorname{CON}(B)$
- Check for subsethood and equality among the following fuzzy sets. $$ \begin{aligned} & A=0.1 / 0.1+0.2 / 0.2+0.3 / 0.3+0.4 / 0.4+0.50 .5 \\ & B=0.20 .1+0.2 / 0.2+0.4 / 0.3+0.6 / 0.5 \end{aligned} $$ Also obtain the subsethood and equality measures ...
- Let $A=0.4 / 3+1 / 5+0.6 / 7$ and $B=1 / 5+0.6 / 6$ Determine the Cartesian product and Algebraic product of $A$ and $B$.
- Find the transitive relation $R_{T}(X, X)$ for a fuzzy relational matrix $R(X, X)$ defined by the membership matrix $M_{R}=\left[\begin{array}{cccc}.7 & .5 & 0 & 0 \\ 0 & 0 & 0 & 1 \\ 0 & .4 & 0 & 0 \\ 0 & 0 & .8 & 0\end{array}\right]$
- What is a fuzzy tolerance relation? Check the given relation is tolerant or not, if not tolerant convert it into a tolerant relation. $$ \left[\begin{array}{ccccc} 1 & .4 & .1 & 0 & .5 \\ .4 & 1 & .5 & 0 & .3 \\ .1 & .5 & 1 & .6 & .7 \\ 0 & 0 & .6 &...
- Verify whether the following logics are tautologies or not. (a) $[(P \rightarrow Q) \wedge(Q \rightarrow R)] \rightarrow(P \rightarrow R)$
- Verify whether the following logics are tautologies or not. (b) $(\bar{P} \wedge Q) \vee(P \wedge R) \rightarrow(\bar{P} \rightarrow R)$
- Explain the application of fuzzy control in air craft landing system.
- How the fuzzy logic is applied in pattern recognition problems.
- Describe the fuzzy MIMO system. $$ (6 \times 10=60 \text { Marks }) $$