Classical set theory, which is based on dichotomy, is not applicable in cases where vagueness is involved. Fuzzy logic is based on the idea of relative graded membership. Fuzzy logic has all the strength to cope with vagueness, uncertainty, and imprecision. Fuzzy logic is a tool that connects human cognitive relations to computers, since computers are not at all good in reading imprecise and vague data. Fuzzy logic is gaining its popularity in various field of research. It found its application in decision making, identification, time series, pattern recognition, optimization, and control. This chapter discusses fuzzy logic, fuzzy sets, and major applications of fuzzy computing.