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Published in:
2013 | OriginalPaper | Chapter
Uncertainty in Fuzzy Sets
Author : Janusz T. Starczewski
Published in: Advanced Concepts in Fuzzy Logic and Systems with Membership Uncertainty
Publisher: Springer Berlin Heidelberg
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Vagueness and uncertainty are intrinsic aspects of engineering design. Therefore, in this chapter, we introduce mathematical tools for modelling various types of vagueness and uncertainty, including fuzzy sets, interval-valued fuzzy sets, fuzzy-valued (type-2) fuzzy sets, rough sets, rough approximations of fuzzy sets, and two different definitions of fuzzy-rough sets. Finally, we aim to categorize different types of uncertainty regarding various sources of it.