(a) Design a Matlab program that plots the two fuzzy membership functions as shown in Figure...

 

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(a) Design a Matlab program that plots the two fuzzy membership functions as shown in Figure 1. [8 marks] 400 (b) 0.9 0.8 0.7 06 0.5 0.4 Given two discrete fuzzy sets in numerical expression as following. Small-Small (X) 1 0.8 0.6 0.4 0.2 0.2 0.1 0 + 12 3 4 ++ -+- -+- 5 6 78 x Big= 2 membership functions Phie(x) Figure 1 01 03 06 09 10 11 1 + + 4 5 6 7 8 (i) Describe the meaning of " " and "+" in the equations as shown above? [2 marks] [3 marks] (ii) Calculate Very Small and More or Less Big Given that pH (x) = gbellmy (x.-P-Q -RI) and up (x)=gbellmf (x.[-2 4-3]) Derive and calculate P, Q, R for "F is Not H". [3 marks] 2 of 9 (a) Design a Matlab program that plots the two fuzzy membership functions as shown in Figure 1. [8 marks] 400 (b) 0.9 0.8 0.7 06 0.5 0.4 Given two discrete fuzzy sets in numerical expression as following. Small-Small (X) 1 0.8 0.6 0.4 0.2 0.2 0.1 0 + 12 3 4 ++ -+- -+- 5 6 78 x Big= 2 membership functions Phie(x) Figure 1 01 03 06 09 10 11 1 + + 4 5 6 7 8 (i) Describe the meaning of " " and "+" in the equations as shown above? [2 marks] [3 marks] (ii) Calculate Very Small and More or Less Big Given that pH (x) = gbellmy (x.-P-Q -RI) and up (x)=gbellmf (x.[-2 4-3]) Derive and calculate P, Q, R for "F is Not H". [3 marks] 2 of 9