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225635

The intuitionistic anti-fuzzy subgroup in group g

De-yuan LiCheng-yi ZhangSheng-quan Ma

pp. 145-151

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.

Publication details

Published in:

Cao Bing-yuan, Zhang Cheng-yi, Li Tai-fu (2009) Fuzzy information and Engineering I. Dordrecht, Springer.

Pages: 145-151

DOI: 10.1007/978-3-540-88914-4_19

Full citation:

Li De-yuan, Zhang Cheng-yi, Ma Sheng-quan (2009) „The intuitionistic anti-fuzzy subgroup in group g“, In: B. Cao, C. Zhang & T.-f. Li (eds.), Fuzzy information and Engineering I, Dordrecht, Springer, 145–151.