Q: Why do we need fuzzy systems?
A: In our quest to build intelligent machines, we cannot continue to model the world with crisp or quantitative and definite inputs. We need to model systems like the human brain, which can easily understand and process input, even if they are not mathematical and contain a degree of vagueness. We need fuzzy systems in order to interpret real-world input and produce prescribed actions based on the context. Fuzzy systems can fuzzify and defuzzify the input and facilitate inseparability between natural events and computers.
Q: What are crisp sets and fuzzy sets? How are they different from one another?
A: Crisp sets have two possibilities for members. A particular element/data point/event is a member or a non-member of the crisp set. For example, days in a week from Monday to Sunday are members of the days of the week crisp set. Anything else apart from the seven days is not a member of the set. Members of fuzzy sets, on the other hand...