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## Fuzzy System & Neural Networks Notes

FUZZY LOGIC

Q: What is a fuzzy set?

A fuzzy set is a set that is defined by a membership function. A membership function assigns to each element in the set under consideration (the universal space) a membership grade, which is a value in the interval [0, 1]. In classical sets, objects either belong to a set or do not belong to a set; there is no other choice. By defining a set using a membership function, it is possible for an element to belong partially to a set. For example, if a door is slightly open, one might say that the door is open, with a membership grade of 0.2 to indicate that the door is slightly open. We might also say that the door is closed, with a membership grade of 0.8. By using a fuzzy set, we are able to indicate that the door is partially open or partially closed. Using classical logic, we would not be able to do this; the door would be considered either open or closed with no in-between.

• Fuzzy logic is a concept of `certain degree’.
• Who is the founder of fuzzy logic?