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A secure medical image encryption technique based on DNA cryptography with elliptic curves. [PDF]
Sci RepKumaran VNS +5 more
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Twisting of Graded Quantum Groups and Solutions to the Quantum Yang-Baxter Equation. [PDF]
Transform GroupsHuang H +5 more
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Mathematical Logic Quarterly, 1999
AbstractThe 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.
Radim Bělohlávek
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AbstractThe 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.
Radim Bělohlávek
exaly +2 more sources
A Category of Galois Connections
Lecture Notes in Computer Science, 1987We study Galois connections by examining the properties of three categories. The objects in each category are Galois connections. The categories differ in their hom-sets; in the most general category the morphisms are pairs of functions which commute with the maps of the domain and codomain Galois connections. One of our main results is that one of the
J. M. McDill +2 more
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Fuzzy Galois Connections Categorically
Mathematical Logic Quarterly, 2010The paper deals with closed categories over complete lattice-ordered monoids \((L, \vee, \wedge, \ast, 1)\). Covariant and contravariant fuzzy Galois connections were introduced and examined by \textit{R. Bělohlávek} [Math. Log. Q. 45, No.~4, 497--504 (1999; Zbl 0938.03079)], and \textit{G. Georgescu} and \textit{A. Popescu} [Soft Comput. 7, No.~7, 458-
Javier Gutiérrez García, Dexue Zhang
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On Galois Connections and Soft Computing
Lecture Notes in Computer Science, 2013After recalling the different interpretations usually assigned to the term Galois connection, both in the crisp and in the fuzzy case, we survey on several of their applications in Computer Science and specifically, in Soft Computing.
Pablo Cordero, Manuel Ojeda-Aciego
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A Primer on Galois Connections
Annals of the New York Academy of Sciences, 1993ABSTRACT. The rudiments of the theory of Galois connections (or residuation theory, as it is sometimes called) are provided, together with many examples and applications. Galois connections occur in profusion and are well known to most mathematicians who deal with order theory; they seem to be less known to topologists.
M. ERNÉ +3 more
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