Exercise 2.1 (Defining Membership Functions: Single Universe of Discourse): In this problem you will study how to represent various concepts and quantify various relations with membership functions. For each part below, there is more than one correct answer. Provide one of these and justify your choice in each case. (a) Draw a membership function (and hence define a fuzzy set) that quantifies the set of all people of medium height. (b) Draw a membership function that quantifies the set of all short people. (c) Draw a membership function that quantifies the set of all tall people. (d) Draw a membership function that quantifies the statement “the number x is near 10.” (e) Draw a membership function that quantifies the statement “the number x is less than 10.” (f) Draw a membership function that quantifies the statement “the number x is greater than 10.” (g) Repeat (d)-(f) for -5 rather than 10. exercise2.1