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In the manufacture of concrete there are two key variables: the water content, measured in percentage of total weight, and the temperature at curing in the batch plant, measured in degrees Fahrenheit. Nominal water content percentages vary from 1 to 500, and nominal temperature limits are from 40 to 80°F. We characterize each parameter in fuzzy linguistic terms as follows 1 0.7 0.5 0.3 0 -+-+-+-+ Low temperature- 40 50 60 70 80 High temperature :-1 . 0 0.2 0.4 0.7 1.0 40 50 60 70 80 [0 0.2 0.4 0.9 1.0 1 23 4 5 High water content-?-+-+-+-+ 1 0.8 0.6 0.4 0.2 1 23 4 5 Low water content = -+-+--+-+ A. Find the following membership functions: i. temperature not very low ii. temperature not very low and not very high B. Find the following membership functions i. water content indeed high ii. water content not very low or fairly low
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