J4 ›› 2011, Vol. 46 ›› Issue (8): 73-76.

• Articles • Previous Articles     Next Articles

The lattice of fuzzy ⊙-ideals in regular residuated lattices

QIN Xue-cheng, LIU Chun-hui*   

  1. Department of Elementary Education, Chifeng University,  Chifeng 024001, Inner Mongolia, China
  • Received:2010-08-02 Online:2011-08-20 Published:2011-09-08

Abstract:

The lattice operations and the adjoint pair on the set of all fuzzy ⊙-ideals in regular residuated lattices are defined. It is obtained that the fuzzy ⊙-ideals lattice defined in our sense is a distributive residuated lattice.

Key words:  fuzzy logic; (regular)residuated lattice; fuzzy ⊙-ideal; fuzzy ⊙-ideal lattice

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