An Introduction to Intuitionistic Fuzzy spatial Region

In Geoinformation systems (GIS) there is a need to model spatial regions with indeterminate boundary and under uncertainties. Although fuzzy logic methods are of great interest in many GIS applications, the traditional fuzzy logic has two important deficiencies. First, to apply the fuzzy logic, we need to assign, to every property and for every value, a crisp membership function. Second, fuzzy logic does not distinguish between the situation in which there is no knowledge about a certain statement and a situation that the belief to the statement in favor and against is the same. In order to solve these problems, we motivate to use intuitionistic fuzzy logic. This paper gives fundamental concepts and properties of an intuitionistic fuzzy spatial region. We introduce a new theoretical framework and discuss possible contributions to different fields. We will link our suggested method to other models like the rough set theory.