Q.2. For research on the human visual system, it is sometimes necessary to characterize the strength of response to a visual stimulus based on a magnetic field measurement or on an electrical potential measurement. When using magnetic field measurements, a typical experiment will require nearly 100 off/on presentations of the stimulus at one location to obtain useful data. If the researcher is attempting to map the visual cortex of the brain, several stimulus locations must be used in the experiments. When working with a new subject, a researcher will make preliminary measurements to determine if the type of stimulus being used evokes a good response in the subject. The magnetic measurements are in units of femtotesla (10-15 tesla). Therefore, the inputs and outputs are both measured in terms of magnetic units. We will define inputs on the universe X=[0,50,100,150,200] femtotesla, and outputs on the universe Y=[0,50,100,150,200] femtotesla. We will define two fuzzy sets, two different stimuli, on universe X : W="weakstimulus"={01+500.9+1000.3+1500+2000}XM="mediumstimulus"={01+500.4+1001+1500.4+2000}X and one fuzzy set on the output universe Y, Y="severeresponse"={00+500+1000.5+1500.9+2001}Y The complement of S-bar will then be: S={01+500+1000.5+1500.1+2000} Construct the proposition IF "weak stimulus" THEN not "severe response," using classical implication using the following structure. IF W THEN S=WS=(WS)(WY). Indicate the relation R, then, express the knowledge embedded in the rule IF "weak stimuli" THEN not "severe response." Now, using a new antecedent (IF part) for the input M = "medium stimuli" and a max-min composition, find another response on the Y universe to relate approximately to the new stimulus M, that is, find MR. Comment on the result you found