Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
389671 | Fuzzy Sets and Systems | 2015 | 6 Pages |
Abstract
This note is a very short history of a specific fuzzy topological space – the Hutton's fuzzy unit interval [0,1](L)[0,1](L) – which occupies one of the central positions in fuzzy topology. On that occasion the superiority of L -valued topology over [0,1][0,1]-valued topology is being discussed. We then show how the Hutton's concept evolved. After obvious identifications we can today say that [0,1](L)[0,1](L) is the tensor product [0,1]⊗L[0,1]⊗L of the lattices [0,1][0,1] and L. An account of the consequences of this new view point is hoped to appear thereafter.
Keywords
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Physical Sciences and Engineering
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Artificial Intelligence
Authors
Javier Gutiérrez García, Tomasz Kubiak,