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What these diagrams show is that each quantity (speed or distance) has membership of three distinct membership functions. For example, on the far left of the distance measurement, the membership of Near is 1, while the memberships of Middle and Far are 0. At 25 m, the memberships of Near and Middle are each 0.5, and the membership of Far is 0.

What these diagrams show is that each quantity (speed or distance) has membership of three distinct membership functions. For example, on the far left of the distance measurement, the membership of Near is 1, while the memberships of Middle and Far are 0. At 25 m, the memberships of Near and Middle are each 0.5, and the membership of Far is 0.

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As part of my ongoing electronics studies I have been asked the following question: Assume that the emergency input is 0 and can therefore be ignored. Using the membership functions from Figure 7.7 in Book 2 Chapter 7 p.101, find the membership values of the fuzzy logic controller on the braking system when the speed is 10 km h−1 and the distance is 20 m. I genuinely do not know how to attempt this question, I have added an image of the the book pages in question. All help much appreciated.
07:53 Sat 9 Mar learn2.open.ac.uk 4G 20% Figure 7.7 shows membership functions for distance and for speed. Earlier we said that distance could be defined as: • near less than 25 metres • far more than 75 metres middle distance less than 75 metres but more than 25 metres. What we have in Figure 7.7(a) are the fuzzy membership functions for Near, Middle and Far. Similarly, I will assign membership values to speed based on: -1 slow less than 25 km h (including 0) fast more than 75 km h¯¹ medium-less than 75 km h¹ but more than 25 km/h¹. Again, in Figure 7.7(b) the membership functions for speed are Slow, Medium and Fast. membership 1 Near membership Middle membership Far membership 0 0 50 100 (a) membership 1 distance (m) Slow membership Medium membership Fast membership (b) 0 0 50 100 Figure 7.7 Membership functions for (a) distance; (b) speed speed (km h-1) What these diagrams show is that each quantity (speed or distance) has membership of three distinct membership functions. For example, on the far left of the distance measurement, the membership of Near is 1, while the memberships of Middle and Far are 0. At 25 m, the memberships of Near and Middle are each 0.5, and the membership of Far is 0.
Transcribed Image Text:07:53 Sat 9 Mar learn2.open.ac.uk 4G 20% Figure 7.7 shows membership functions for distance and for speed. Earlier we said that distance could be defined as: • near less than 25 metres • far more than 75 metres middle distance less than 75 metres but more than 25 metres. What we have in Figure 7.7(a) are the fuzzy membership functions for Near, Middle and Far. Similarly, I will assign membership values to speed based on: -1 slow less than 25 km h (including 0) fast more than 75 km h¯¹ medium-less than 75 km h¹ but more than 25 km/h¹. Again, in Figure 7.7(b) the membership functions for speed are Slow, Medium and Fast. membership 1 Near membership Middle membership Far membership 0 0 50 100 (a) membership 1 distance (m) Slow membership Medium membership Fast membership (b) 0 0 50 100 Figure 7.7 Membership functions for (a) distance; (b) speed speed (km h-1) What these diagrams show is that each quantity (speed or distance) has membership of three distinct membership functions. For example, on the far left of the distance measurement, the membership of Near is 1, while the memberships of Middle and Far are 0. At 25 m, the memberships of Near and Middle are each 0.5, and the membership of Far is 0.
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