Fuzzy boundaries

The primary purpose of this lecture is to provide the participant with a comprehensive coverage of theoretical foundation of digital fuzzy set theory (DFS) and multivalued logic (MVL), as well as a broad overview of the increasingly important applications of these new areas of mathematics. Due to computational efficiency DFS and MVL could be used extensively, especially in real time implementations. Throughout the paper, many examples are used to illustrate concepts, methods, and genetic applications. The applications, which are multi-disciplinary in nature, include computing with words, automatic control, image processing, database management, pattern recognition and so on.