| (a) | Given the fact that "I passed the
exams" statements like "If I passed the exams, then I had sat for the
exams" allow us to infer that "I had sat for the exams".
However, a statement such as "If I can tall, then I am heavy" is, by
itself, not particularly useful for inference. With reference to the two statements,
explain why this is so.
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[4] |
| (b) | When a fuzzy set is shown in graphical form
(see diagram in part C), the vertical axis represent the membership value for the fuzzy
set. Explain what the membership value means.
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[3] |
| (c) | In the following diagram, fuzzy sets B and C
are the results of a dilation and concentration of A. (i) What do fuzzy hedges do? (ii) Given that A represents the fuzzy set short, identify a fuzzy hedge that describes fuzzy set C.
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[1] [1] |
| (d) | Let An and Bn represent
fuzzy sets in the following graphs. Given that A2 ->B1 and a = 2.5, describe the steps in single inference which will allow you to find the value of b, Find the value of b.
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[4] |
| (d) | Let An, Bn and Cn
represent fuzzy sets in the following graphs. Given that:
Using the graphs provided in Appendix 1, show how you would obtain the output. Note : Students attempting this question must fill in Appendix 1, detach the appendix from the question booklet, and attach it to the Answer Booklet.
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