Fuzzy Galois connections on fuzzy sets
Logic in Computer Science
2024-08-16 v2
Abstract
In fairly elementary terms this paper presents how the theory of preordered fuzzy sets, more precisely quantale-valued preorders on quantale-valued fuzzy sets, is established under the guidance of enriched category theory. Motivated by several key results from the theory of quantaloid-enriched categories, this paper develops all needed ingredients purely in order-theoretic languages for the readership of fuzzy set theorists, with particular attention paid to fuzzy Galois connections between preordered fuzzy sets.
Keywords
Cite
@article{arxiv.1707.08849,
title = {Fuzzy Galois connections on fuzzy sets},
author = {Javier Gutiérrez García and Hongliang Lai and Lili Shen},
journal= {arXiv preprint arXiv:1707.08849},
year = {2024}
}
Comments
30 pages, final version