Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4943823 | Fuzzy Sets and Systems | 2017 | 12 Pages |
Abstract
In this work, we focus on adjunctions, also called isotone Galois connections, in the framework of fuzzy preordered sets (hereafter, fuzzy preposets). Specifically, we present necessary and sufficient conditions so that, given a mapping f:AâB from a fuzzy preposet A into an unstructured set B, it is possible to construct a suitable fuzzy preorder relation on B for which there exists a mapping g:BâA such that the pair (f,g) constitutes an adjunction.
Related Topics
Physical Sciences and Engineering
Computer Science
Artificial Intelligence
Authors
I.P. Cabrera, P. Cordero, F. GarcÃa-Pardo, M. Ojeda-Aciego, B. De Baets,