Intuitionistic Fuzzy Sets and Political Stability

Abstract

A human being is, in general, not a computer. For a person the amount of whiteness of the sky and the amount of not whiteness of the sky are not always complementary. To model this inconsistency, Krassimir Atanassov introduced the concept of an intuitionistic fuzzy set (IFS): Atanassov (1986, 1999); Atanassov et al. (2005); Cornelis et al. (2003a). An IFS is characterized by two functions that expressing, respectively, the degree of belongingness and non-belongingness of an object to an attribute, for example the object could be the sky and the attribute could be whiteness. Furthermore, Atanassov does not rule out that an observer may object to committing themselves completely to a whiteness – not whiteness view of the sky. An observer may decide that an attribute is a poor classifier of an object and refuse to commit to either belongingness or not belongingness. Thus if an object is abstract, like love, an observer may question the amount of blueness we could attribute to love. Similarly, if the object is concrete, say that we are examining a rock, it may be hard to determine its honesty, an abstract quality.