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The Basic Concepts of the Fuzzy Set Theory

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Part of the book series: Studies in Fuzziness and Soft Computing ((STUDFUZZ,volume 268))

Abstract

The common feature of problems solvable with active participation of experts is presence of the versatile information which is difficult for mathematical formalization within the scope of traditional concepts. It is partly connected with the fact that while describing or estimating real objects and situations experts use words of a natural language to reflect their subjective experience, judgment, sights and interests. Use of such words brings uncertainty to information obtained from an expert in the form of fuzziness. In usual languages the concepts of uncertainty, fuzziness and randomness tend to mix up, however they were differentiated in a language of science many years ago.

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© 2011 Springer-Verlag Berlin Heidelberg

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Poleshchuk, O., Komarov, E. (2011). The Basic Concepts of the Fuzzy Set Theory. In: Expert Fuzzy Information Processing. Studies in Fuzziness and Soft Computing, vol 268. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-20125-7_1

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  • DOI: https://doi.org/10.1007/978-3-642-20125-7_1

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-20124-0

  • Online ISBN: 978-3-642-20125-7

  • eBook Packages: EngineeringEngineering (R0)

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