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Fuzzy Sets, Systems, and Applications

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Encyclopedia of Operations Research and Management Science

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Introduction

In classical set theory, an element either does or does not belong to a set, being characterized by a membership in the set that may have one of two values: 1 or 0. Fuzzy sets generalize classical sets (in fuzzy set theory often called crisp sets) by allowing the gradual assessment of the memberships of elements in a set. Thus, by use of a membership function valued in the real unit interval [0, 1], each element is assigned a number in that interval, which measures its grade of membership in the set. Fuzzy systems are systems that are modeled using fuzzy sets. They have been widely used for both research and practical applications, even for industrial purposes. Fuzzy logic provides a convenient way to build models, decision making systems and controllers, by incorporating qualitative knowledge and heuristics. These inherent characteristics of fuzzy logic offer a very attractive way of handling imprecision in the data and/or complex systems, where the derivation of an...

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Authors and Affiliations

  1. Department of Industrial Management, University of Piraeus, 80 Karaoli & Dimitriou street, Piraeus, 185 34, Greece

    Costas P. Pappis

  2. School of Applied Mathematics and Physical Sciences, National Technical University of Athens, 157 80, Athens, Greece

    Constantinos I. Siettos

  3. University of Piraeus, Piraeus, Greece

    Thomas K. Dasaklis

Authors
  1. Costas P. Pappis
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  2. Constantinos I. Siettos
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  3. Thomas K. Dasaklis
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Correspondence to Costas P. Pappis .

Editor information

Editors and Affiliations

  1. Robert H. Smith School of Business, University of Maryland, College Park, MD, USA

    Saul I. Gass

  2. Robert H. Smith School of Business and Institute for Systems Research, University of Maryland, College Park, MD, USA

    Michael C. Fu

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© 2013 Springer Science+Business Media New York

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Pappis, C.P., Siettos, C.I., Dasaklis, T.K. (2013). Fuzzy Sets, Systems, and Applications. In: Gass, S.I., Fu, M.C. (eds) Encyclopedia of Operations Research and Management Science. Springer, Boston, MA. https://doi.org/10.1007/978-1-4419-1153-7_370

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  • DOI: https://doi.org/10.1007/978-1-4419-1153-7_370

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  • Online ISBN: 978-1-4419-1153-7

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