Browse > Article
http://dx.doi.org/10.5391/IJFIS.2011.11.2.129

Various Connections and Their Relations  

Kim, Yong-Chan (Department of Mathematics, Gangneung Wonju National University)
Kim, Young-Sun (Department of Applied Mathematics, Pai Chai University)
Publication Information
International Journal of Fuzzy Logic and Intelligent Systems / v.11, no.2, 2011 , pp. 129-134 More about this Journal
Abstract
We investigate the properties of Galois, dual Galois, residuated, and dual residuated connections on posets. In particular, we show that their connections are related to relations.
Keywords
Galois; dual Galois; residuated; dual residuated;
Citations & Related Records
Times Cited By KSCI : 1  (Citation Analysis)
연도 인용수 순위
1 R. Wille, Restructuring lattice theory; an approach based on hierarchies of concept, in: 1. Rival(Ed.), Ordered Sets, Reidel, Dordrecht, Boston, 1982.
2 Wei Yao, Ling-Xia Lu," Fuzzy Galois connections on fuzzy posets," Math. Log. Quart., vol. 55, pp. 105-112, 2009.   DOI   ScienceOn
3 R. Belohlavek, "Similarity relations in concept lattices," J. Logic and Computation, vol. 10, no 6, pp.823-845, 2000.   DOI   ScienceOn
4 R. Belohlavek, "Lattices of fixed points of Galois connections," Math. Logic Quart., vol. 47, pp.111-116, 2001.   DOI   ScienceOn
5 R. Belohlavek, "Concept lattices and order in fuzzy logic," Ann. Pure Appl. Logic, vol. 128, pp.277-298, 2004.   DOI   ScienceOn
6 R. Belohlavek, Fuzzy relational systems, Kluwer Academic Publisher, New York, 2002.
7 G. Georgescu, A. Popescue," Non-dual fuzzy connections," Arch. Math. Log., vol. 43, pp. 1009-1039, 2004.   DOI
8 J.G. Garcia, I.M. Perez, M.A.P. Vicente, D. Zhang," Fuzzy Galois connections categorically," Math. Log. Quart., vol. 56, pp. 131-147, 2010.   DOI   ScienceOn
9 H. Lai, D. Zhang," Concept lattices of fuzzy contexts: Formal concept analysis vs. rough set theory," Int. J. Approx. Reasoning, vol. 50, pp.695-707, 2009.   DOI   ScienceOn
10 Y.C. Kim, J.W. Park, "Join preserving maps and various concepts," Int.J. Contemp. Math. Sciences, vol. 5, no.5, pp.243-251, 2010.
11 J.M. Ko, Y.C. Kim, "Antitone Galois connections and formal concepts," Int. J. Fuzzy Logic and Intelligent Systems, vol.10, no.2, pp.107-112, 2010.   과학기술학회마을   DOI   ScienceOn
12 Ewa. Orlowska, I. Rewitzky, "Algebras for Galoisstyle connections and their discrete duality," Fuzzy Sets and Systems, vol.161, pp.1325-1342, 2010.   DOI   ScienceOn