Abstract:

Abstract: Based on the theory of  (λ,μ)-fuzzy normal subgroup,the definitions of the (λ,μ)-anti-fuzzy normal subgroup, (λ,μ)-anti-fuzzy normalizer and  (λ,μ)-anti-fuzzy centralizer are introduced. Some conditions of equivalence and properties are discussed. Also,some corresponding theorems of (λ,μ)-anti-fuzzy normal subgroup in homomorphic mapping are established.

Key words:  (λ,μ)-anti-fuzzy normal subgroup; (λ,μ)-anti-fuzzy normalizer; (λ,μ)-anti-fuzzy centralizer