Question

Two fuzzy as follow sets A,B defined on the universe X={0,1,2,3,4,5,6,7,8,9} A 0.1/1, 0.2/2, 0.6/3, 1/4, 0.5/5,0.3/6, 0.2/7, 0.1/8} B 0.2/1, 0.3/2, 0.6/3,1/4, 0.7/5, 0.4/6, 0.3/7, 0.2/8, 0.1/9 Answer the following questions: (I)Sketch the membership functions of A and B sets (ii Compute and sketch C=AOB & D=AUB; (iii) Is the following relation true/false? Please clarify ACB

Answer 1

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Answer 2

1. Selesaikan (15) 2. Two fuzzy sets, A and B, (written in standard Zadeh notation) are given as: 3. A= 0.0/1 + 0.3/2 + 0.6/3 + 0.9/4 + 0.8/5 + 0.5/6 + 0.3/7 + 0.2/8 4. B= 0.4/1 + 0.8/2 + 0.5/3 + 0.3/4 + 0.6/5 + 0.9/6 + 1.0/7 + 0.5/8 5. Define the ‘standard’ (Zadeh) fuzzy operators for negation (NOT), intersection (AND) and 6. union (OR), and use them to calculate the following fuzzy sets: 7. (i) NOT A 8. (ii) (NOT A) AND B 9. (iii) A OR B 10. Two fuzzy sets, A and B, (written in standard Zadeh notation) are given as: 11. A= 0.0/1 + 0.3/2 + 0.6/3 + 0.9/4 + 0.8/5 + 0.5/6 + 0.3/7 + 0.2/8 12. B= 0.4/1 + 0.8/2 + 0.5/3 + 0.3/4 + 0.6/5 + 0.9/6 + 1.0/7 + 0.5/8 13. Define the ‘standard’ (Zadeh) fuzzy operators for negation (NOT), intersection (AND) and 14. union (OR), and use them to calculate the following fuzzy sets: 15. (i) NOT A 16. (ii) (NOT A) AND B 17. (iii) A OR B 18. Two fuzzy sets, A and B, (written in standard Zadeh notation) are given as: 19. A= 0.0/1 + 0.3/2 + 0.6/3 + 0.9/4 + 0.8/5 + 0.5/6 + 0.3/7 + 0.2/8 20. B= 0.4/1 + 0.8/2 + 0.5/3 + 0.3/4 + 0.6/5 + 0.9/6 + 1.0/7 + 0.5/8 21. Define the ‘standard’ (Zadeh) fuzzy operators for negation (NOT), intersection (AND) and 22. union (OR), and use them to calculate the following fuzzy sets: 23. (i) NOT A 24. (ii) (NOT A) AND B 25. (iii) A OR B Diberikan Dua fuzzy sets, A dan B, (sesuai notasi standard Zadeh) sebagai berikut : A= 0.0/1 + 0.3/2 + 0.6/3 + 0.9/4 + 0.8/5 + 0.5/6 + 0.3/7 + 0.2/8 B= 0.4/1 + 0.8/2 + 0.5/3 + 0.3/4 + 0.6/5 + 0.9/6 + 1.0/7 + 0.5/8 Define the ‘standard’ (Zadeh) fuzzy operators for negation (NOT), intersection (AND) and union (OR), and use them to calculate the following fuzzy sets: Gunakan ‘standard’ (Zadeh) operator fuzzy : negasi (NOT), intersection (AND) dan union (OR) untuk menghitung fuzzy sets berikut ini: a. NOT A b. (NOT A) AND B c. A OR B