Offering a systematic introduction to fuzzy set theory, this book compiles essential concepts and research findings from the authors' extensive work over thirty years. It serves as a comprehensive resource for understanding the mathematics of fuzziness, making complex ideas accessible to readers. The material has been refined from lecture notes, ensuring clarity and depth in the exploration of this specialized field.
Since time immemorial, vision and images have been essential to human life. Today, image processing has numerous scientific, commercial, industrial, and military applications, stemming from the interplay between fundamental research and the development of advanced technology. Recently, the scientific community has embraced "fuzzy techniques" in image processing, which utilize fuzzy sets and related theories. Introduced by Zadeh in 1965, fuzzy set theory addresses imprecision and uncertainty by allowing a gradual transition from membership to nonmembership, offering partial degrees of membership. These techniques complement existing methods and can enhance the development of more robust approaches, as demonstrated across various scientific fields. This volume aims to showcase the successful introduction and application of fuzzy techniques in image processing. It features high-quality contributions from over 30 experts, exploring a wide array of both theoretical and practical applications in this domain.