S - (M;N)-fuzzy subgroups

The aim of this paper is to introduce the notion of (M;N)-fuzzy subgroups with respect to S-normsand to investigate their properties. Next we give several characterizations of them. We also introducethe notion of union, normality and coproduct of them, and then we study related properties. Finally, weinvestigate the image and pre image of them under homomorphisms.

کلیدواژه ها:

Fuzzy algebraic structures ، group theory ، norms ، (M ، N)-fuzzy subgroups ، normal (M ، N)-fuzzy subgroups ، homomorphisms.