Applications of interval valued fuzzy nn-ary polygroups with respect to tt-norms (tt-conorms)

Using the triangular norm TT (conorm SS) in the context of nn-ary polygroups, we introduce the concept of an interval-valued (anti) fuzzy nn-ary subpolygroup with respect to TT (SS respectively). A necessary and sufficient condition for an interval-valued fuzzy subset in order to be an interval-valued (anti) fuzzy nn-ary subpolygroup is established and some important results are presented. This study is useful for the most computational part of fuzzy control, which is the defuzzification.