This question asks you to calculate the output of a fuzzy logic controller that is used in a washing machine. You are advised to use no more than 500 words in your answer to this question When clothes are placed in a washing machine and water added, an optical sensor is used to detect the dirtiness of the clothes and the type of dit. In particular, greasy clothes, for example, take longer to wash A fuzzy controller is used to determine the wash time. A set of rules are produced as fotos 1. If direness of clothesis LARGE and type of dit is GREASY, then wash time is LONG 2. If direness of clothesis MEDIUM and type of dirt is GREASY, then wash time is LONG. 3. If dirtiness of clothesis SMALL and type of dit is GREASY, then wash time is LONG. 4. If dirtiness of clothesis LARGE and type of dit is MEDIUM, then wash time is LONG. 5. If diness of clothesis MEDIUM and type of dirt is MEDIUM, then wash times MEDIUM 6. If direness of clothesis SMALL and type of dirts MEDIUM, then wash time is MEDIUM 7. If dirtiness of clothesis LARGE and type of dit is NOT GREASY, then wash time is MEDIUM 8. If dininess of clothesis MEDIUM and type of dirt is NOT GREASY, then wash time is SHORT 9. If dininess of clothesis SMALL and type of dirt is NOT GREASY, then wash time is SHORT The membership functions for dirtiness, type of dit and wash time are all triangular with three functions running from 0 to 100%. For dirtiness the sets are: . SMALL MEDIUM LARGE Membership 0 50 100 Dirtiness %) SMALL membership MEDIUM membership LARGE membership Figure 3 Dirties For type of dirt the sets are: NOT GREASY MEDIUM . GREASY Membership 0 50 Type of art (4) NOT GREASY membership - MEDIUM membershp GREASY membership Figure 4 Type of dirt For wash time the sets are : SHORT . MEDIUM LONG Membership 80 100 Wash time() SHORT membership MEDIUM membership LONG membership Figura 5 Wash time . Using these membership funcions, estimate the membership values of the fuzzy logic controller in the washing machine when the dirtiness is 30% and the type of dirt is 65% 1 mark) . Using the rules, find the values of the membership functions of the wash time. Do this by completing the following two tables [4 marks) Table 2 Minimum values of the two input condition Durines Type of dirt NOI GREASY MEDIUM GREASY SMALL MEDIUM LARGE Table 3 Maximum value for the membership function of wach time MAX Wawh tune membership 1 SHORI MEDIUM LONG c. Redraw the membership functions of wash time using the values form (c). Replace the triangles with singletons and then using centre of area defuzzication, find the final value of the wash time. 18 marks) d. Use Google Scholar to find the following paper. What year was it published, and how many citations does have? Provide a screenshot to support your answer. Fuzzy logic control of washing machines' by Manish Agarwal You do not have to download or read the paper. This question asks you to calculate the output of a fuzzy logic controller that is used in a washing machine. You are advised to use no more than 500 words in your answer to this question When clothes are placed in a washing machine and water added, an optical sensor is used to detect the dirtiness of the clothes and the type of dit. In particular, greasy clothes, for example, take longer to wash A fuzzy controller is used to determine the wash time. A set of rules are produced as fotos 1. If direness of clothesis LARGE and type of dit is GREASY, then wash time is LONG 2. If direness of clothesis MEDIUM and type of dirt is GREASY, then wash time is LONG. 3. If dirtiness of clothesis SMALL and type of dit is GREASY, then wash time is LONG. 4. If dirtiness of clothesis LARGE and type of dit is MEDIUM, then wash time is LONG. 5. If diness of clothesis MEDIUM and type of dirt is MEDIUM, then wash times MEDIUM 6. If direness of clothesis SMALL and type of dirts MEDIUM, then wash time is MEDIUM 7. If dirtiness of clothesis LARGE and type of dit is NOT GREASY, then wash time is MEDIUM 8. If dininess of clothesis MEDIUM and type of dirt is NOT GREASY, then wash time is SHORT 9. If dininess of clothesis SMALL and type of dirt is NOT GREASY, then wash time is SHORT The membership functions for dirtiness, type of dit and wash time are all triangular with three functions running from 0 to 100%. For dirtiness the sets are: . SMALL MEDIUM LARGE Membership 0 50 100 Dirtiness %) SMALL membership MEDIUM membership LARGE membership Figure 3 Dirties For type of dirt the sets are: NOT GREASY MEDIUM . GREASY Membership 0 50 Type of art (4) NOT GREASY membership - MEDIUM membershp GREASY membership Figure 4 Type of dirt For wash time the sets are : SHORT . MEDIUM LONG Membership 80 100 Wash time() SHORT membership MEDIUM membership LONG membership Figura 5 Wash time . Using these membership funcions, estimate the membership values of the fuzzy logic controller in the washing machine when the dirtiness is 30% and the type of dirt is 65% 1 mark) . Using the rules, find the values of the membership functions of the wash time. Do this by completing the following two tables [4 marks) Table 2 Minimum values of the two input condition Durines Type of dirt NOI GREASY MEDIUM GREASY SMALL MEDIUM LARGE Table 3 Maximum value for the membership function of wach time MAX Wawh tune membership 1 SHORI MEDIUM LONG c. Redraw the membership functions of wash time using the values form (c). Replace the triangles with singletons and then using centre of area defuzzication, find the final value of the wash time. 18 marks) d. Use Google Scholar to find the following paper. What year was it published, and how many citations does have? Provide a screenshot to support your answer. Fuzzy logic control of washing machines' by Manish Agarwal You do not have to download or read the paper
