In Geographical information systems (GIS) there is a need to model spatial regions with intuitionistic
boundary. In this paper, we generalize the topological ideals spaces to the notion of intuitionistic set; we construct the
basic fundamental concepts and properties of an intuitionistic spatial region. In addition, we introduce the notion of
ideals on intuitionistic set which is considered as a generalization of ideals studies in [4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14,
15, 16]. The important topological intuitionistic ideal has been given. The concept of intuitionistic local function is
also introduced for a intuitionistic topological space. These concepts are discussed with a view to find new
intuitionistic topology from the original one. The basic structure, especially a basis for such generated intuitionistic
topologies and several relations between different topological intuitionistic ideals are also studied here. Possible
application to GIS topology rules are touched upon |
