In this paper, fuzzy set theory which provides a methodology of treating human subjectivity, linguistic meanings, etc. is reviewed and its novel applications to some actual problems are introduced to show the efficiency of the theory. First, fundamental concept of fuzzy set theory is explained to point out the differences with probability theory, and then follows the descriptions on fuzzy operations, fuzzy relations, fuzzy reasonings, etc. with their mathematical aspects. Next, the application studies on three fields such as fuzzy control, fuzzy decision making and fuzzy mathematical programming which are considered as the most appropriate examples in showing the efficiency of fuzzy set theory are presented. Finally, the future research topics on fuzzy set theory are briefly discussed.
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