A NOTE ON INTUITIONISTIC FUZZY MAPPINGS

In this paper, the concept of intuitionistic fuzzy mapping as a gen- eralization of fuzzy mapping is presented, and itsʹ relationship with intuitionis- tic fuzzy relations is derived. Moreover, some basic operations of intuitionistic fuzzy mappings are dened, hence we can conclude that all of intuitionistic fuzzy mappings constitute a soft algebra with respect to these operations. Afterwards, the Atanassovʹs operator is applied to intuitionistic fuzzy mappings and the corresponding properties are examined. Finally, the decomposition and representation theorems of intuitionistic fuzzy mappings are established.