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Weakening The Requirement That L Be A Complete Chain

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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

Chapter 6, beginning with Convention 2.7, assumes (unless stated otherwise) that the base lattice L is a complete chain. As stated in the third from last paragraph of the introduction to Chapter 6, Prof. Höhle had suggested to Profs. Pultr and Rodabaugh that a complete chain is really only needed for its meet-irreducibles, and that for spatial L we also have meet-irreducibles which suffice for the constructions of Chapter 6.

This appendix stems from ideas of Prof. Höhle communicated to the authors of Chapter 6 as this volume was being prepared for publication.

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© 2003 Springer Science+Business Media Dordrecht

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Höhle, U., Rodabaugh, S.E. (2003). Weakening The Requirement That L Be A Complete Chain. 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_8

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  • DOI: https://doi.org/10.1007/978-94-017-0231-7_8

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-6378-6

  • Online ISBN: 978-94-017-0231-7

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