Korean Journal of Mathematics

The Kangwon-Kyungki Mathematical Society (강원경기수학회)
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SOME PROPERTIES OF EXTENDED ORDER ALGEBRAS

  • Kim, Yong Chan (Department of Mathematics Natural Science Gangneung-Wonju National University) ;
  • Ko, Jung Mi (Department of Mathematics Natural Science Gangneung-Wonju National University)
  • Received : 2013.01.10
  • Accepted : 2013.03.05
  • Published : 2013.03.30
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Abstract

We study the properties of extended order algebras. In particular, we investigate the properties of adjoint, Galois pair in commutative extended-order algebras.

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References

  1. G. Birkhoff, Lattice Theory, Amer. Math. Soc. Colloq. Publ. 25, New York, 1968.
  2. C.C. Chang, Algebraic analysis of many valued logics, Trans. Amer. Math. Soc. 88 (2) (1958), 467-490. https://doi.org/10.1090/S0002-9947-1958-0094302-9
  3. G. Georgescu, A. Popescu, Non-commutative fuzzy Galois connections, Soft Computing 7 (2003), 458-467.
  4. G. Georgescu, A. Popescu, Non-commutative fuzzy structures and pairs of weak negations, Fuzzy Sets and Systems 143 (2004), 129-155. https://doi.org/10.1016/j.fss.2003.06.004
  5. C. Guido, P. Toto, Extended ordered algebras, J. Appl. Log. 6 (2008), 609-626. https://doi.org/10.1016/j.jal.2008.01.001
  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 con- cept, in: 1. Rival(Ed.), Ordered Sets, Reidel, Dordrecht, Boston,1982.

Cited by

  1. WEAK EXTENDED ORDER ALGEBRAS HAVING ADJOINT TRIPLES vol.21, pp.3, 2013, https://doi.org/10.11568/kjm.2013.21.3.351