Article ID Journal Published Year Pages File Type
389671 Fuzzy Sets and Systems 2015 6 Pages PDF
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.

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Physical Sciences and Engineering Computer Science Artificial Intelligence
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