(b) (c) The nominal temperature limits in a fluid delivery system are given between 130F to 140 F. Let the temperature be characterized in fuzzy linguistic terms as follows: 1.0 0.8 0.6 0.4 0.2 0.0 + + + + + 131 132 133 134 135 136) "Low" temperature (ii) (iii) "High" temperature= + Hence, calculate the membership function for the following three linguistic expressions. 0.0 0.2 0.4 0.6 0.8 1.0 + + + 135 136 137 138 139 140 Temperature not low. Temperature not very high. Temperature not very low or not very high. (2 marks) (2 marks) (3 marks) Let X=(P P P3 P4} be a set of patients, while Y = {s,,3} be a set of symptoms and Z= {d,,d,,d,,d,,d,} be a set of deseases. Assume that a fuzzy relation, P on XxY is defined by the matrix P, and another fuzzy relation Q is defined on YxZ by the marix Q as below. P= 0 0.3 0.4 0.2 0.5 0.3 0.8 0 0 0.7 0.7 0.9 and 0.7 0 0 0.3 0.6 Q=0.5 0.5 0.8 0.4 0 0 0.7 0.2 0.9 0 By performing the composition P Q = R, distinguish which patient has a very strong symptom associated to each desease. Justify your answer. (6 marks)