UGC NET CSE | June 2025 | Part 2 | Question: 89

Question

Match List I with List II

$\begin{array}{|ll|ll|} \hline \textbf{List I} & \textbf{(Operations on Fuzzy Sets)} & \textbf{List II} & \textbf{(Description)} \\ \hline \text{A.} & \text{Intersection} & \text{I.} & \boldsymbol{\mu_{\widetilde{A}}(x)}+\boldsymbol{\mu_{\widetilde{B}}(x)}- \boldsymbol{\mu_{\widetilde{A}}(x) \cdot \mu_{\widetilde{B}}(x)} \\ \hline \text{B.} & \text{Bounded Sum} & \text{II.} & \boldsymbol{\operatorname { m a x }}\left(\mathbf{0}, \boldsymbol{\mu}_{\widetilde{A}}(\boldsymbol{x})-\boldsymbol{\mu}_{\widetilde{B}}(\boldsymbol{x})\right.) \\ \hline \text{C.} & \text{Bounded Difference} & \text{III.} & \boldsymbol{\operatorname { m i n }}\left(\mathbf{1}, \boldsymbol{\mu}_{\widetilde{A}}(\boldsymbol{x})+\boldsymbol{\mu}_{\widetilde{B}}(\boldsymbol{x})\right.) \\ \hline \text{D.} & \text{Algebraic Sum} &  \text{IV.} & \boldsymbol{\operatorname { m i n }}\left( \boldsymbol{\mu}_{\widetilde{A}}(\boldsymbol{x}) , \boldsymbol{\mu}_{\widetilde{B}}(\boldsymbol{x})\right.) \\ \hline \end{array}$

Choose the correct answer from the options given below:

• A. $\text{A} \rightarrow \text{III}, \text{B} \rightarrow \text{I}, \text{C} \rightarrow \text{II}, \text{D} \rightarrow \text{IV}$
• B. $\text{A} \rightarrow \text{III}, \text{B} \rightarrow \text{II}, \text{C} \rightarrow \text{IV}, \text{D} \rightarrow  \text{I}$
• C. $\text{A} \rightarrow \text{IV}, \text{B} \rightarrow \text{III}, \text{C} \rightarrow \text{II}, \text{D} \rightarrow \text{I}$
• D. $\text{A} \rightarrow \text{II}, \text{B} \rightarrow \text{I}, \text{C} \rightarrow \text{III}, \text{D} \rightarrow \text{IV}$