The intuitionistic anti-fuzzy subgroup in group g

De-yuan Li

Cheng-yi Zhang

Sheng-quan Ma

pp. 145-151

in: Bing-yuan Cao, Cheng-yi Zhang, Tai-fu Li (eds), Fuzzy information and Engineering I, Berlin, Springer, 2009

Abstract

On the basis of the intuitionistic fuzzy sets introduced by K.Atanassov, we first give definition to intuitionistic anti-fuzzy subgroups over group G and intuitionistic anti-fuzzy normal subgroups, which are different from the definitions in [1][3]and [5]. This paper proves a necessary and sufficient condition of intuitionistic anti-fuzzy subgroups and conditions of equivalence of intuitionistic anti-fuzzy normal subgroups. Some properties of theirs and quotient groups of intuitionistic anti-fuzzy normal subgroups are also discussed.