Programming definitions on fuzzy logic and genetic algorithms
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Programming definitions on fuzzy logic and genetic algorithms

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  • 1. Practical Problems based on the subject MBI 303: Advanced Algorithms Page 1 of 1Fuzzy LogicSr. No. Definition App. Marks1 Consider the set of old people O. The graded membership M of a 5-8 person X to determine whether the person belongs to old class O or not is defined as follows: M= 0 if age of X is > 0 years and <= 59 years M= (age of X -60)/20 if age of X is > 59 years and <= 79 years M= 1 if age of X is > 79 years Write a computer program using language of your choice which input age of a person X in total years and outputs graded membership.Solution Algorithm: 1. Start. 2. Input the age of a person. 3. Store the age to a variable x. 4. Let the membership we want to calculate is m. 5. If x is between 0 and 59 then m is 0; 6. Else if x is between 60 and 70 then m is ….formula given the membership function; 7. Else m =1. 8. Print age x as well as membership value m. 9. Stop. Program #include<iostream.h> void main() { int x; float m; cout << " Input the age of the person: "; cin >>x; if (x > 0 && x<= 59) { m=0; }
  • 2. Practical Problems based on the subject MBI 303: Advanced Algorithms Page 2 of 2 else if( x > 59 && x <= 79) { m = (float)(x-60)/20; } else { m=1; } cout<<" The graded membership function M is : " <<m <<endl; }2 Consider the set of old people O. The graded membership M of a 5-8 person X to determine whether the person belongs to old class O or not is defined as follows: M= 0 if age of X is > 0 years and <= 59 years M= (age of X -60)/20 if age of X is > 59 years and <= 79 years M= 1 if age of X is > 79 years Write a computer program using language of your choice which input the graded membership to a person X and outputs broad category of the age of the person X.3 Consider the set of old people O. The graded membership M of a person X to determine whether the person belongs to old class O or not is defined as follows: M= 0 if age of X is > 0 years and <= 59 years M= (age of X -60)/20 if age of X is > 59 years and <= 79 years M= 1 if age of X is > 79 years Write a computer program using language of your choice that returns complement membership of the above set. The input to the program is age of a person x and output is the complement of the graded membership to a person X between the closed interval [0,1].4 Consider the set of machines, M, and the set of people, P, defined as 8-10 follows: M = { set of all machines in a domain} e.g., M = { m1, m2, m3…, mn} where n =3
  • 3. Practical Problems based on the subject MBI 303: Advanced Algorithms Page 3 of 3 P = {set of people} e.g., P = { p1, p2, p3, …, pk} where k =3 The fuzzy relationship “generally comfortable” can be defined as: m1 m2 m3 p1 1.0 0.4 0.7 p2 0.8 1.0 0.6 p3 0.7 0.6 1.0 Write a program which takes machine identification M and person identification P and returns the degree of comfort of the given P on the given machine M. Also list the ideal machine for each person where the person is most comfortable.5 Consider U = V = {1,2,3}. The relationship R of U*V, defined as 8-10 “approximately equal,” is a binary fuzzy relationship given by 1/(1,1), 1/(2,2), 1/(3,3), 0.8/(1,2), 0.8/(2,3), 0.8/(2,1), 0.4/(1,3), 0.8/(3,2) and 0.4/(3,1). Consider another relationship, S, of U*V in which x is considerably larger than y for ∀x∈U and ∀y∈V. The relationship S can be given as X/Y 1 2 3 1 0 0.6 0.8 2 0.6 0 0.6 3 0.8 0.6 0 Find and print (i) μR∩S(x,y) and (ii) μR∪S(x,y)6 Develop a computer program which prints a menu on clears screen as 20 follows:
  • 4. Practical Problems based on the subject MBI 303: Advanced Algorithms Page 4 of 4 Lab Experiments on Fuzzy Logic ------------------------------------------ Program 1 Section 2 Fuzzy Logic Program 2 Section 2 Fuzzy Logic Program 3 Section 2 Fuzzy Logic Program 4 Section 2 Fuzzy Logic Program 5 Section 2 Fuzzy Logic Exit ------------------------------------------ Implement all the programs using functions or routines (in a single or different programs, as per your convenience). The program while execution should ask the users for his/her choice and perform function accordingly. If user gives invalid choice the program should print appropriate message. The program should be terminated only if the choice # 6 (Exit) is given by the user.
  • 5. Practical Problems based on the subject MBI 303: Advanced Algorithms Page 5 of 5Genetic AlgorithmsSr. Definition App.No. Marks1. Write a program for single variable function optimization. Read valid 5-8 initial population (n individuals) through keyboard for Maximization of f (x). Where f (x, y) = x42 Write a program for single variable function optimization. Read valid 5-8 initial population (n individuals) through keyboard for Minimization of f (x). Where f (x, y) = x + x23 Write a program for double variable function optimization. Read valid 5-8 initial population of 10-bits (four individuals) through keyboard and scale the interval [0, 1) for Maximization of f (x, y). Where f (x, y) = yx2 – x44 Write a program for double variable function optimization. Read valid 5-8 initial population of 10-bits (four individuals) through keyboard and scale the interval [0, 1) for Minimization of f (x, y). Where f (x, y) = yx25 Simulation of operators 15-20 Mutation Cross-over Recombination operators Menu driven system6 Traveling salesman problem 10-15