Problem 5
Let the membership functions of fuzzy sets \(F\) and \(G\) be asfollows: $$ X: 11,2,3,4,5,6,7,8,9,10\\} $$ $$ \begin{aligned} &F:[0,0,0,0,0,1,0.8,0.5,0.9,1,1] \\ &G:[0,0,0,1,0.5,0.9,1,0.9,0.5,0.0] \end{aligned} $$ State whether \((\) i) \(F=G\) (ii) \(F\) is a subset of \(G\). Also write down \(F^{\circ}, P \cap G\) and \(F \cup G\).
Problem 6
The truth values of the statements 'Latif is a pood player' is \(0.7\) and Sohn is a good player' is \(0.6\). What is the truth value of (i) the conjunction of the above two prepositions. (ii) the disjunction of the abeve prepositions.
