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World and Imprecision
The world around us is full of imprecise elements and reasoning. The sun is red, (but which shade of red). You are tall, (but how much tall). We humans use these expressions in our daily lives and also understand them well. But, for the computer to understand these things we have to specify exact values (the hex code for red, the height in feet or meters). While there are situations where precision is needed, there are cases where we can do with a certain amount of imprecision. For example in the case of self-driving cars we need to identify the location of an obstacle with precision, but while parking, it is not necessary that car parks itself exactly in the middle of the parking box.
For long, the probability was considered sufficiently good enough to represent the concept of uncertainty. But then in 1965 Zadeh presented Fuzzy logic, which changed the way we perceive uncertainty.