Review the Mathematics Today box regarding fuzzy logic and Exercise 75. Do additional research and write a report on how fuzzy logic is used in many devices we encounter in our everyday lives.

Data From Today box regarding fuzzy logic:

Many modern computers work solely with two values, 1 or 0. This constraint makes it difficult for a computer to evaluate vague concepts that human beings deal with on a regular basis, such as bright, slow, and light. More and more computers are becoming more capable of handling such vague concepts, thanks to the introduction of fuzzy logic. Unlike the traditional computer logic, fuzzy logic is based on the assignment of a value between 0 and 1, inclusively, that can vary from setting to setting. For example, a camera using fuzzy logic may assign bright a value of 0.9 on a sunny day, 0.4 on a cloudy day, and 0.1 at night. Fuzzy logic also makes use of logical statements like those studied in this chapter. One such statement is “If X and Y, then Z.” For example, a computer chip in a camera programmed with fuzzy logic may use the rule “If the day is bright and the movement is slow, then let in less light.”

Data from Exercise 75:

In symbolic logic, a statement is either true or false (consider true to have a value of 1 and false a value of 0). In fuzzy logic, nothing is true or false, but everything is a matter of degree. For example, consider the statement “The sun is shining.” In fuzzy logic, this statement may have a value between 0 and 1 and may be constantly changing. For example, if the sun is partially blocked by clouds, the value of this statement may be 0.25. In fuzzy logic, the values of connective statements are found as follows for statements p and q.