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Topological and Algebraic Structures in Fuzzy Sets

Part of the book series: Trends in Logic ((TREN,volume 20))

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Abstract

As stated in the introduction of [45], “the mathematics of fuzzy sets is the mathematics of lattice-valued maps” and consequently, the mathematics of fuzzy sets lends itself to a variety of structures, both topological and algebraic. Closely related to the standardization of the mathematics of fuzzy sets begun in [45], this volume continues the work of [45] in topology as well as gives several important developments in algebraic structures not available when [45] was published. At the same time, the chapters of the present work are motivated in significant measure by the presentations, informal discussions, and roundtables of the Twentieth International Seminar on Fuzzy Set Theory, or Twentieth Linz Seminar, held in Linz, Austria, February 1999.

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  1. Department of Mathematics and Statistics, Youngstown State University, 44555-3609, Youngstown, Ohio, USA

    Stephen Ernest Rodabaugh

  2. Institut für Algebra, Stochastik und wissensbasierte mathematische Systeme, Johannes Kepler Universität, 4040, Linz, Austria

    Erich Peter Klement

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  1. Department of Mathematics and Statistics, Youngstown State University, 44555-3609, Youngstown, Ohio, USA

    Stephen Ernest Rodabaugh

  2. Institut für Algebra, Stochastik und wissensbasierte mathematische Systeme, Johannes Kepler Universität, 4040, Linz, Austria

    Erich Peter Klement

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Rodabaugh, S.E., Klement, E.P. (2003). Introduction. In: Rodabaugh, S.E., Klement, E.P. (eds) Topological and Algebraic Structures in Fuzzy Sets. Trends in Logic, vol 20. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-0231-7_1

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