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Complete Many-Valued Lattices
Umeå University, Faculty of Science and Technology, Department of Computing Science.
2017 (English)In: 2017 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE), IEEE, 2017Conference paper, Published paper (Refereed)
Abstract [en]

Let Sup be the category of complete lattices and join preserving maps. The aim of this paper is to show that the theory of complete many-valued lattices exists. For this purpose we recall the concept of many-valued preordered sets and show that the category of many-valued join-complete lattices is isomorphic to the category of right modules in Sup - a theorem which goes back to I. Stubbe in a more general context given by quantaloid enriched categories. Finally, we will explain the presented theory by some natural examples, and do not hesitate to apply the theory to a simple stochastic linear programming problem.

Place, publisher, year, edition, pages
IEEE, 2017.
Series
IEEE International Conference on Fuzzy Systems, ISSN 1098-7584
National Category
Computer Sciences
Identifiers
URN: urn:nbn:se:umu:diva-146181DOI: 10.1109/FUZZ-IEEE.2017.8015376ISI: 000426449100002ISBN: 978-1-5090-6034-4 (electronic)OAI: oai:DiVA.org:umu-146181DiVA, id: diva2:1206278
Conference
IEEE International Conference on Fuzzy Systems (FUZZ-IEEE), JUL 09-12, 2017, Naples, ITALY
Available from: 2018-05-16 Created: 2018-05-16 Last updated: 2018-06-09Bibliographically approved

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Eklund, Patrik

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