5.

a. A television can be viewed as “domestic” or “foreign” in different ways. For example, many components for American televisions are manufactured in Mexico or Asia.

Similarly, there can be instances in which a television with a foreign name is actually manufactured in your country. Draw two fuzzy membership functions, one for foreign TV sets (μF(x)) and one for domestic brands (μD(x)). What are μF(x) and μD(x) for 60%?

b. Assume the following rules have the same membership functions as above:

Rule 1: If a TV set is domestic then maintain tariffs (a tax imposed on imports).

Rule 2: If a TV set is foreign then raise tariffs.

What inference would you make for a TV set that is 40% foreign?