A Reminder on Fuzzy Logic

Abstract

Fuzzy logic was primarily designed to represent and reason with knowledge expressed in a linguistic or verbal form. However, when using a languageoriented approach for representing knowledge about a certain system of interest, one is bound to encounter a number of non-trivial problems. Suppose, for example [10], that you are asked how strongly you agree that a given distance, xϵ [0m, 40m] which an indoor robot has to travel is a large distance. One way to answer this question is to say that if x ≥ d then you agree it is a large distance and if x < d then you disagree. Thus, if you place a mark on an agree-disagree scale, it might be distributed uniformly over the right half of the scale whenever x ≥ d and uniformly over the left half if x < d.