A NOTE ON INTUITIONISTIC FUZZY MAPPINGS

Abstract

In this paper, the concept of intuitionistic fuzzy mapping as a generalization of fuzzy mapping is presented, and its' relationship with intuitionistic fuzzy relations is derived. Moreover, some basic<br />operations of intuitionistic fuzzy mappings are defined, hence we can conclude that all of intuitionistic fuzzy mappings constitute a soft algebra<br />with respect to these operations. Afterwards, the Atanassov's<br />operator is applied to intuitionistic fuzzy mappings and the<br />corresponding properties are examined. Finally, the decomposition<br />and representation theorems of intuitionistic fuzzy mappings are<br />established.