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Mathematics of Fuzzy Sets pp 123–272Cite as

Axiomatic Foundations Of Fixed-Basis Fuzzy Topology

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Part of the book series: The Handbooks of Fuzzy Sets Series ((FSHS,volume 3))

Abstract

This paper gives the first comprehensive account on various systems of axioms of fixed-basis, L-fuzzy topological spaces and their corresponding convergence theory. In general we do not pursue the historical development, but it is our primary aim to present the state of the art of this field. We focus on the following problems:

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Authors and Affiliations

  1. Fachbereich 7 Mathematik Bergische, Universiät Wuppertal Gaußstraße, 20 D-42097, Wuppertal, Germany

    U. Höhle

  2. Department of Mathematics University of Latvia, LV-1586, Riga, Latvia

    A. P. Šostak

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  1. U. Höhle
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Editors and Affiliations

  1. Fachbereich Mathematik, Bergische Universität, Wuppertal, Germany

    Ulrich Höhle

  2. Department of Mathematics and Statistics, Youngstown State University, Youngstown, Ohio, USA

    Stephen Ernest Rodabaugh

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Höhle, U., Šostak, A.P. (1999). Axiomatic Foundations Of Fixed-Basis Fuzzy Topology. In: Höhle, U., Rodabaugh, S.E. (eds) Mathematics of Fuzzy Sets. The Handbooks of Fuzzy Sets Series, vol 3. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-5079-2_5

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