Titlebook: An Introduction to Computing with Fuzzy Sets; Analysis, Design, an Witold Pedrycz Book 2021 The Editor(s) (if applicable) and The Author(s)

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978-3-030-52802-7The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl

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Fuzzy Set Transformation and Fuzzy Arithmetic,on principle is discussed in detail. Two key ways of mapping fuzzy sets are discussed: the one based on the representation theorem (which directly links to the mapping realized in interval analysis) and another one based on the use of the extension principle). The detailed formulas are developed for the arithmetic of fuzzy numbers.

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Theorien begrenzter Reichweite zu FOSS,nt of the algorithmic fabric of other formalisms of information granules. In particular, this concerns fuzzy sets given the representation theorem in which calculus of fuzzy sets is transformed to computing with a family of their alpha cuts.

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