Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
10225698 | Fuzzy Sets and Systems | 2018 | 30 Pages |
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.
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Authors
Javier Gutiérrez GarcÃa, Hongliang Lai, Lili Shen,