J4 ›› 2010, Vol. 45 ›› Issue (9): 38-42.

• Articles • Previous Articles     Next Articles

The representation theorem of lattice BR0-algebraic structure

QIAO Xi-min1,2,  WU Hong-bo1*   

  1. 1. College of Mathematics and Information Science, Shaanxi Normal University, Xi’an 710062, Shaanxi,  China;
    2. Department of Mathematics and Computer Science, Shangluo University, Shangluo  726000, Shaanxi, China
  • Received:2010-02-08 Online:2010-09-16 Published:2010-10-12

Abstract:

BR0-algebraic structure is studied by using the basic character of the axiom in fuzzy propositional logic system BL*, and the different representations theorems of BR0-algebraic are given in bounded distributive lattice, bounded lattice and general lattice. Also, the expressions of corresponding different lattice R0-algebraic are pointed out.

Key words: fuzzy logic;  BR0-algebraic structure; bounded distributive lattice; bounded lattice; lattice; representation theorem

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