J4 ›› 2011, Vol. 46 ›› Issue (12): 120-123.

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(λ,μ)-anti-fuzzy normal subgroup

XIAO Bing-feng,  YAO Bing-xue   

  1. School of Mathematics Science, Liaocheng University, Liaocheng 252059, Shandong, China
  • Received:2011-01-22 Online:2011-12-20 Published:2011-12-24

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

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