Computer Science ›› 2014, Vol. 41 ›› Issue (1): 271-273.

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Ideal of R-Generalized Fuzzy Sublattice

WANG De-jiang,LIANG Jiu-zhen and LIAO Zu-hua   

  • Online:2018-11-14 Published:2018-11-14

Abstract: This paper introduced the definition of ideal of R-generalized fuzzy sublattice,and discussed some properties of it.Besides,it was proved that the finite intersection (union) of ideal of R-generalized fuzzy sublattice is still ideal of R-generalized fuzzy sublattice when function R(x,y) is decreased correspond to y,and the homomorphic image (preimage) of ideal of R-generalized fuzzy sublattice is still ideal of R-fuzzy sublattice.Finally,eight kinds of equivalent form of ideal of R-generalized fuzzy sublattice based on eight kinds of implication operator were discussed.

Key words: Sublattice,R-generalized fuzzy sublattice,Implication operator,Ideal

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