Abstract
In this chapter, foundations of fuzzy logic are presented to introduce the necessary notations used throughout the following chapters. The chapter provides basic notions of fuzzy set theory and fuzzy systems, such as fuzzification, fuzzy rule base and inference engine, defuzzification, and fuzzy models.
Of all things that are certain, the most certain is doubt.
Bertolt Brecht
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Notes
- 1.
Fuzzy sets can be defined in either discrete or continuous universes. Universes found in real-world applications are typically continuous, but in the area of digital image processing discrete universes are more often considered.
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Caponetti, L., Castellano, G. (2017). Basics of Fuzzy Logic. In: Fuzzy Logic for Image Processing. SpringerBriefs in Electrical and Computer Engineering. Springer, Cham. https://doi.org/10.1007/978-3-319-44130-6_3
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