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Fuzzy closure structures as formal concepts
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DOI：10.1016/j.fss.2022.12.014.png)
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Abstract
En 中文
Galois connections seem to be ubiquitous in mathematics. They have been used to model solutions for both pure and application -oriented problems. Throughout the paper, the general framework is a complete fuzzy lattice over a complete residuated lattice. The existence of three fuzzy Galois connections (two antitone and one isotone) between three specific ordered sets is proved in this paper. The most interesting part is that fuzzy closure systems, fuzzy closure operators and strong fuzzy closure relations are formal concepts of these fuzzy Galois connections. (c) 2022 The Author(s). Published by Elsevier B.V. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/).
Keywords:
Closure system
Galois connection
Fuzzy lattice
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