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http://dx.doi.org/10.11568/kjm.2013.21.3.351

WEAK EXTENDED ORDER ALGEBRAS HAVING ADJOINT TRIPLES  

Kim, Yong Chan (Department of Mathematics Gangneung-Wonju National University)
Ko, Jung Mi (Department of Mathematics Gangneung-Wonju National University)
Publication Information
Korean Journal of Mathematics / v.21, no.3, 2013 , pp. 351-363 More about this Journal
Abstract
We study the properties of weak extended order algebras having adjoint pairs (triples) or Galois pairs. In particular, we investigate the various laws on weak extended order algebras.
Keywords
(Commutative, associative) weak extended order algebras; adjoint pairs (triples); Galois pairs;
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Times Cited By KSCI : 1  (Citation Analysis)
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1 C.C. Chang, Algebraic analysis of many valued logics, Trans. of A.M.S., 88 (2) (1958), 467-490   DOI   ScienceOn
2 G. Georgescu, A. Popescu, Non-commutative fuzzy Galois connections, Soft Comput, 7 (2003), 458-467
3 G. Georgescu, A. Popescu, Non-commutative fuzzy structures and pairs of weak negations, Fuzzy Sets and Systems, 143 (2004), 129-155   DOI   ScienceOn
4 C. Guido, P. Toto, Extended ordered algebras, J. Appl. Log., 6 (2008) 609-626   DOI   ScienceOn
5 Y.C. Kim, J.M. Ko, Some properties of extended order algebras, Korean J. Math., 21 (1) (2013) 63-73   과학기술학회마을   DOI   ScienceOn
6 U. Hohle, E. P. Klement, Non-classical logic and their applications to fuzzy subsets, Kluwer Academic Publisher, Boston (1995)
7 E. Turunen, Mathematics Behind Fuzzy Logic, A Springer-Verlag Co. (1999)
8 R. Wille, Restructuring lattice theory; an approach based on hierarchies of concept, in: 1. Rival(Ed.), Ordered Sets, Reidel, Dordrecht, Boston (1982)
9 G. Birkhoff, Lattice Theory, Amer. Math. Soc. Colloq. Publ., 25, New York (1968)