ESSENTIAL AND RETRACTABLE GALOIS CONNECTIONS
نویسندگان
چکیده
منابع مشابه
Pair algebras and Galois connections
Most studies of Galois connections begin with a function and ask the question: when is there a second function that is connected to the first? In possibly the very first application of Galois connections directly related to the modern digital computer, Hartmanis and Stearns posed a. subtly different question, namely: when does a relation define two functions that are Ga'!ois connected? Such a r...
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We investigate the application of Galois connections to the identi cation of frequent item sets, a central problem in data mining. Starting from the notion of closure generated by a Galois connection, we de ne the notion of extended closure, and we use these notions to improve the classical Apriori algorithm. Our experimental study shows that in certain situations, the algorithms that we descri...
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Galois connections play a very important role in the theory of continuous lattices and their various generalizations. (See, for example, [1], [2], [a], [4], [5], [7] and [9].) Morphisms of continuous lattices, as defined in [2], are precisely those upper adjoints of Galois connections which preserve directed sups. In [1] Bandelf and Ernd suggested that the right choice of morphisms for Z-contin...
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The concept of Galois connection between power sets is generalized from the point of view of fuzzy logic. Studied is the case where the structure of truth values forms a complete residuated lattice. It is proved that fuzzy Galois connections are in one-to-one correspondence with binary fuzzy relations. A representation of fuzzy Galois connections by (classical) Galois connections is provided. 1...
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ژورنال
عنوان ژورنال: Journal of Algebra and Its Applications
سال: 2013
ISSN: 0219-4988,1793-6829
DOI: 10.1142/s0219498813500175